TSTP Solution File: SWW285+1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWW285+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n023.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 00:29:33 EDT 2022
% Result : Unknown 3.90s 4.14s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW285+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.14 % Command : iprover_modulo %s %d
% 0.13/0.36 % Computer : n023.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Sun Jun 5 11:55:24 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Running in mono-core mode
% 0.52/0.72 % Orienting using strategy Equiv(ClausalAll)
% 0.52/0.72 % FOF problem with conjecture
% 0.52/0.72 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a30947.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_49317d.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_369352 | grep -v "SZS"
% 0.58/0.75
% 0.58/0.75 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.58/0.75
% 0.58/0.75 %
% 0.58/0.75 % ------ iProver source info
% 0.58/0.75
% 0.58/0.75 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.58/0.75 % git: non_committed_changes: true
% 0.58/0.75 % git: last_make_outside_of_git: true
% 0.58/0.75
% 0.58/0.75 %
% 0.58/0.75 % ------ Input Options
% 0.58/0.75
% 0.58/0.75 % --out_options all
% 0.58/0.75 % --tptp_safe_out true
% 0.58/0.75 % --problem_path ""
% 0.58/0.75 % --include_path ""
% 0.58/0.75 % --clausifier .//eprover
% 0.58/0.75 % --clausifier_options --tstp-format
% 0.58/0.75 % --stdin false
% 0.58/0.75 % --dbg_backtrace false
% 0.58/0.75 % --dbg_dump_prop_clauses false
% 0.58/0.75 % --dbg_dump_prop_clauses_file -
% 0.58/0.75 % --dbg_out_stat false
% 0.58/0.75
% 0.58/0.75 % ------ General Options
% 0.58/0.75
% 0.58/0.75 % --fof false
% 0.58/0.75 % --time_out_real 150.
% 0.58/0.75 % --time_out_prep_mult 0.2
% 0.58/0.75 % --time_out_virtual -1.
% 0.58/0.75 % --schedule none
% 0.58/0.75 % --ground_splitting input
% 0.58/0.75 % --splitting_nvd 16
% 0.58/0.75 % --non_eq_to_eq false
% 0.58/0.75 % --prep_gs_sim true
% 0.58/0.75 % --prep_unflatten false
% 0.58/0.75 % --prep_res_sim true
% 0.58/0.75 % --prep_upred true
% 0.58/0.75 % --res_sim_input true
% 0.58/0.75 % --clause_weak_htbl true
% 0.58/0.75 % --gc_record_bc_elim false
% 0.58/0.75 % --symbol_type_check false
% 0.58/0.75 % --clausify_out false
% 0.58/0.75 % --large_theory_mode false
% 0.58/0.75 % --prep_sem_filter none
% 0.58/0.75 % --prep_sem_filter_out false
% 0.58/0.75 % --preprocessed_out false
% 0.58/0.75 % --sub_typing false
% 0.58/0.75 % --brand_transform false
% 0.58/0.75 % --pure_diseq_elim true
% 0.58/0.75 % --min_unsat_core false
% 0.58/0.75 % --pred_elim true
% 0.58/0.75 % --add_important_lit false
% 0.58/0.75 % --soft_assumptions false
% 0.58/0.75 % --reset_solvers false
% 0.58/0.75 % --bc_imp_inh []
% 0.58/0.75 % --conj_cone_tolerance 1.5
% 0.58/0.75 % --prolific_symb_bound 500
% 0.58/0.75 % --lt_threshold 2000
% 0.58/0.75
% 0.58/0.75 % ------ SAT Options
% 0.58/0.75
% 0.58/0.75 % --sat_mode false
% 0.58/0.75 % --sat_fm_restart_options ""
% 0.58/0.75 % --sat_gr_def false
% 0.58/0.75 % --sat_epr_types true
% 0.58/0.75 % --sat_non_cyclic_types false
% 0.58/0.75 % --sat_finite_models false
% 0.58/0.75 % --sat_fm_lemmas false
% 0.58/0.75 % --sat_fm_prep false
% 0.58/0.75 % --sat_fm_uc_incr true
% 0.58/0.75 % --sat_out_model small
% 0.58/0.75 % --sat_out_clauses false
% 0.58/0.75
% 0.58/0.75 % ------ QBF Options
% 0.58/0.75
% 0.58/0.75 % --qbf_mode false
% 0.58/0.75 % --qbf_elim_univ true
% 0.58/0.75 % --qbf_sk_in true
% 0.58/0.75 % --qbf_pred_elim true
% 0.58/0.75 % --qbf_split 32
% 0.58/0.75
% 0.58/0.75 % ------ BMC1 Options
% 0.58/0.75
% 0.58/0.75 % --bmc1_incremental false
% 0.58/0.75 % --bmc1_axioms reachable_all
% 0.58/0.75 % --bmc1_min_bound 0
% 0.58/0.75 % --bmc1_max_bound -1
% 0.58/0.75 % --bmc1_max_bound_default -1
% 0.58/0.75 % --bmc1_symbol_reachability true
% 0.58/0.75 % --bmc1_property_lemmas false
% 0.58/0.75 % --bmc1_k_induction false
% 0.58/0.75 % --bmc1_non_equiv_states false
% 0.58/0.75 % --bmc1_deadlock false
% 0.58/0.75 % --bmc1_ucm false
% 0.58/0.75 % --bmc1_add_unsat_core none
% 0.58/0.75 % --bmc1_unsat_core_children false
% 0.58/0.75 % --bmc1_unsat_core_extrapolate_axioms false
% 0.58/0.75 % --bmc1_out_stat full
% 0.58/0.75 % --bmc1_ground_init false
% 0.58/0.75 % --bmc1_pre_inst_next_state false
% 0.58/0.75 % --bmc1_pre_inst_state false
% 0.58/0.75 % --bmc1_pre_inst_reach_state false
% 0.58/0.75 % --bmc1_out_unsat_core false
% 0.58/0.75 % --bmc1_aig_witness_out false
% 0.58/0.75 % --bmc1_verbose false
% 0.58/0.75 % --bmc1_dump_clauses_tptp false
% 0.58/0.77 % --bmc1_dump_unsat_core_tptp false
% 0.58/0.77 % --bmc1_dump_file -
% 0.58/0.77 % --bmc1_ucm_expand_uc_limit 128
% 0.58/0.77 % --bmc1_ucm_n_expand_iterations 6
% 0.58/0.77 % --bmc1_ucm_extend_mode 1
% 0.58/0.77 % --bmc1_ucm_init_mode 2
% 0.58/0.77 % --bmc1_ucm_cone_mode none
% 0.58/0.77 % --bmc1_ucm_reduced_relation_type 0
% 0.58/0.77 % --bmc1_ucm_relax_model 4
% 0.58/0.77 % --bmc1_ucm_full_tr_after_sat true
% 0.58/0.77 % --bmc1_ucm_expand_neg_assumptions false
% 0.58/0.77 % --bmc1_ucm_layered_model none
% 0.58/0.77 % --bmc1_ucm_max_lemma_size 10
% 0.58/0.77
% 0.58/0.77 % ------ AIG Options
% 0.58/0.77
% 0.58/0.77 % --aig_mode false
% 0.58/0.77
% 0.58/0.77 % ------ Instantiation Options
% 0.58/0.77
% 0.58/0.77 % --instantiation_flag true
% 0.58/0.77 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.58/0.77 % --inst_solver_per_active 750
% 0.58/0.77 % --inst_solver_calls_frac 0.5
% 0.58/0.77 % --inst_passive_queue_type priority_queues
% 0.58/0.77 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.58/0.77 % --inst_passive_queues_freq [25;2]
% 0.58/0.77 % --inst_dismatching true
% 0.58/0.77 % --inst_eager_unprocessed_to_passive true
% 0.58/0.77 % --inst_prop_sim_given true
% 0.58/0.77 % --inst_prop_sim_new false
% 0.58/0.77 % --inst_orphan_elimination true
% 0.58/0.77 % --inst_learning_loop_flag true
% 0.58/0.77 % --inst_learning_start 3000
% 0.58/0.77 % --inst_learning_factor 2
% 0.58/0.77 % --inst_start_prop_sim_after_learn 3
% 0.58/0.77 % --inst_sel_renew solver
% 0.58/0.77 % --inst_lit_activity_flag true
% 0.58/0.77 % --inst_out_proof true
% 0.58/0.77
% 0.58/0.77 % ------ Resolution Options
% 0.58/0.77
% 0.58/0.77 % --resolution_flag true
% 0.58/0.77 % --res_lit_sel kbo_max
% 0.58/0.77 % --res_to_prop_solver none
% 0.58/0.77 % --res_prop_simpl_new false
% 0.58/0.77 % --res_prop_simpl_given false
% 0.58/0.77 % --res_passive_queue_type priority_queues
% 0.58/0.77 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.58/0.77 % --res_passive_queues_freq [15;5]
% 0.58/0.77 % --res_forward_subs full
% 0.58/0.77 % --res_backward_subs full
% 0.58/0.77 % --res_forward_subs_resolution true
% 0.58/0.77 % --res_backward_subs_resolution true
% 0.58/0.77 % --res_orphan_elimination false
% 0.58/0.77 % --res_time_limit 1000.
% 0.58/0.77 % --res_out_proof true
% 0.58/0.77 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a30947.s
% 0.58/0.77 % --modulo true
% 0.58/0.77
% 0.58/0.77 % ------ Combination Options
% 0.58/0.77
% 0.58/0.77 % --comb_res_mult 1000
% 0.58/0.77 % --comb_inst_mult 300
% 0.58/0.77 % ------
% 0.58/0.77
% 0.58/0.77 % ------ Parsing...%
% 0.58/0.77
% 0.58/0.77
% 0.58/0.77 % ------ Statistics
% 0.58/0.77
% 0.58/0.77 % ------ General
% 0.58/0.77
% 0.58/0.77 % num_of_input_clauses: 625
% 0.58/0.77 % num_of_input_neg_conjectures: 0
% 0.58/0.77 % num_of_splits: 0
% 0.58/0.77 % num_of_split_atoms: 0
% 0.58/0.77 % num_of_sem_filtered_clauses: 0
% 0.58/0.77 % num_of_subtypes: 0
% 0.58/0.77 % monotx_restored_types: 0
% 0.58/0.77 % sat_num_of_epr_types: 0
% 0.58/0.77 % sat_num_of_non_cyclic_types: 0
% 0.58/0.77 % sat_guarded_non_collapsed_types: 0
% 0.58/0.77 % is_epr: 0
% 0.58/0.77 % is_horn: 0
% 0.58/0.77 % has_eq: 0
% 0.58/0.77 % num_pure_diseq_elim: 0
% 0.58/0.77 % simp_replaced_by: 0
% 0.58/0.77 % res_preprocessed: 0
% 0.58/0.77 % prep_upred: 0
% 0.58/0.77 % prep_unflattend: 0
% 0.58/0.77 % pred_elim_cands: 0
% 0.58/0.77 % pred_elim: 0
% 0.58/0.77 % pred_elim_cl: 0
% 0.58/0.77 % pred_elim_cycles: 0
% 0.58/0.77 % forced_gc_time: 0
% 0.58/0.77 % gc_basic_clause_elim: 0
% 0.58/0.77 % parsing_time: 0.
% 0.58/0.77 % sem_filter_time: 0.
% 0.58/0.77 % pred_elim_time: 0.
% 0.58/0.77 % out_proof_time: 0.
% 0.58/0.77 % monotx_time: 0.
% 0.58/0.77 % subtype_inf_time: 0.
% 0.58/0.77 % unif_index_cands_time: 0.
% 0.58/0.77 % uFatal error: exception Failure("Parse error in: /export/starexec/sandbox/tmp/iprover_modulo_49317d.p line: 628 near token: '!='")
% 0.58/0.77 nif_index_add_time: 0.
% 0.58/0.77 % total_time: 0.043
% 0.58/0.77 % num_of_symbols: 132
% 0.58/0.77 % num_of_terms: 1447
% 0.58/0.77
% 0.58/0.77 % ------ Propositional Solver
% 0.58/0.77
% 0.58/0.77 % prop_solver_calls: 0
% 0.58/0.77 % prop_fast_solver_calls: 0
% 0.58/0.77 % prop_num_of_clauses: 0
% 0.58/0.77 % prop_preprocess_simplified: 0
% 0.58/0.77 % prop_fo_subsumed: 0
% 0.58/0.77 % prop_solver_time: 0.
% 0.58/0.77 % prop_fast_solver_time: 0.
% 0.58/0.77 % prop_unsat_core_time: 0.
% 0.58/0.77
% 0.58/0.77 % ------ QBF
% 0.58/0.77
% 0.58/0.77 % qbf_q_res: 0
% 0.58/0.77 % qbf_num_tautologies: 0
% 0.58/0.77 % qbf_prep_cycles: 0
% 0.58/0.77
% 0.58/0.77 % ------ BMC1
% 0.58/0.77
% 0.58/0.77 % bmc1_current_bound: -1
% 0.58/0.77 % bmc1_last_solved_bound: -1
% 0.58/0.77 % bmc1_unsat_core_size: -1
% 0.58/0.77 % bmc1_unsat_core_parents_size: -1
% 0.58/0.77 % bmc1_merge_next_fun: 0
% 0.58/0.77 % bmc1_unsat_core_clauses_time: 0.
% 0.58/0.77
% 0.58/0.77 % ------ Instantiation
% 0.58/0.77
% 0.58/0.77 % inst_num_of_clauses: undef
% 0.58/0.77 % inst_num_in_passive: undef
% 0.58/0.77 % inst_num_in_active: 0
% 0.58/0.77 % inst_num_in_unprocessed: 0
% 0.58/0.77 % inst_num_of_loops: 0
% 0.58/0.77 % inst_num_of_learning_restarts: 0
% 0.58/0.77 % inst_num_moves_active_passive: 0
% 0.58/0.77 % inst_lit_activity: 0
% 0.58/0.77 % inst_lit_activity_moves: 0
% 0.58/0.77 % inst_num_tautologies: 0
% 0.58/0.77 % inst_num_prop_implied: 0
% 0.58/0.77 % inst_num_existing_simplified: 0
% 0.58/0.77 % inst_num_eq_res_simplified: 0
% 0.58/0.77 % inst_num_child_elim: 0
% 0.58/0.77 % inst_num_of_dismatching_blockings: 0
% 0.58/0.77 % inst_num_of_non_proper_insts: 0
% 0.58/0.77 % inst_num_of_duplicates: 0
% 0.58/0.77 % inst_inst_num_from_inst_to_res: 0
% 0.58/0.77 % inst_dismatching_checking_time: 0.
% 0.58/0.77
% 0.58/0.77 % ------ Resolution
% 0.58/0.77
% 0.58/0.77 % res_num_of_clauses: undef
% 0.58/0.77 % res_num_in_passive: undef
% 0.58/0.77 % res_num_in_active: 0
% 0.58/0.77 % res_num_of_loops: 0
% 0.58/0.77 % res_forward_subset_subsumed: 0
% 0.58/0.77 % res_backward_subset_subsumed: 0
% 0.58/0.77 % res_forward_subsumed: 0
% 0.58/0.77 % res_backward_subsumed: 0
% 0.58/0.77 % res_forward_subsumption_resolution: 0
% 0.58/0.77 % res_backward_subsumption_resolution: 0
% 0.58/0.77 % res_clause_to_clause_subsumption: 0
% 0.58/0.77 % res_orphan_elimination: 0
% 0.58/0.77 % res_tautology_del: 0
% 0.58/0.77 % res_num_eq_res_simplified: 0
% 0.58/0.77 % res_num_sel_changes: 0
% 0.58/0.77 % res_moves_from_active_to_pass: 0
% 0.58/0.77
% 0.58/0.77 % Status Unknown
% 0.64/1.07 % Orienting using strategy ClausalAll
% 0.64/1.07 % FOF problem with conjecture
% 0.64/1.07 % 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_a30947.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_49317d.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_827861 | grep -v "SZS"
% 0.95/1.09
% 0.95/1.09 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.95/1.09
% 0.95/1.09 %
% 0.95/1.09 % ------ iProver source info
% 0.95/1.09
% 0.95/1.09 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.95/1.09 % git: non_committed_changes: true
% 0.95/1.09 % git: last_make_outside_of_git: true
% 0.95/1.09
% 0.95/1.09 %
% 0.95/1.09 % ------ Input Options
% 0.95/1.09
% 0.95/1.09 % --out_options all
% 0.95/1.09 % --tptp_safe_out true
% 0.95/1.09 % --problem_path ""
% 0.95/1.09 % --include_path ""
% 0.95/1.09 % --clausifier .//eprover
% 0.95/1.09 % --clausifier_options --tstp-format
% 0.95/1.09 % --stdin false
% 0.95/1.09 % --dbg_backtrace false
% 0.95/1.09 % --dbg_dump_prop_clauses false
% 0.95/1.09 % --dbg_dump_prop_clauses_file -
% 0.95/1.09 % --dbg_out_stat false
% 0.95/1.09
% 0.95/1.09 % ------ General Options
% 0.95/1.09
% 0.95/1.09 % --fof false
% 0.95/1.09 % --time_out_real 150.
% 0.95/1.09 % --time_out_prep_mult 0.2
% 0.95/1.09 % --time_out_virtual -1.
% 0.95/1.09 % --schedule none
% 0.95/1.09 % --ground_splitting input
% 0.95/1.09 % --splitting_nvd 16
% 0.95/1.09 % --non_eq_to_eq false
% 0.95/1.09 % --prep_gs_sim true
% 0.95/1.09 % --prep_unflatten false
% 0.95/1.09 % --prep_res_sim true
% 0.95/1.09 % --prep_upred true
% 0.95/1.09 % --res_sim_input true
% 0.95/1.09 % --clause_weak_htbl true
% 0.95/1.09 % --gc_record_bc_elim false
% 0.95/1.09 % --symbol_type_check false
% 0.95/1.09 % --clausify_out false
% 0.95/1.09 % --large_theory_mode false
% 0.95/1.09 % --prep_sem_filter none
% 0.95/1.09 % --prep_sem_filter_out false
% 0.95/1.09 % --preprocessed_out false
% 0.95/1.09 % --sub_typing false
% 0.95/1.09 % --brand_transform false
% 0.95/1.09 % --pure_diseq_elim true
% 0.95/1.09 % --min_unsat_core false
% 0.95/1.09 % --pred_elim true
% 0.95/1.09 % --add_important_lit false
% 0.95/1.09 % --soft_assumptions false
% 0.95/1.09 % --reset_solvers false
% 0.95/1.09 % --bc_imp_inh []
% 0.95/1.09 % --conj_cone_tolerance 1.5
% 0.95/1.09 % --prolific_symb_bound 500
% 0.95/1.09 % --lt_threshold 2000
% 0.95/1.09
% 0.95/1.09 % ------ SAT Options
% 0.95/1.09
% 0.95/1.09 % --sat_mode false
% 0.95/1.09 % --sat_fm_restart_options ""
% 0.95/1.09 % --sat_gr_def false
% 0.95/1.09 % --sat_epr_types true
% 0.95/1.09 % --sat_non_cyclic_types false
% 0.95/1.09 % --sat_finite_models false
% 0.95/1.09 % --sat_fm_lemmas false
% 0.95/1.09 % --sat_fm_prep false
% 0.95/1.09 % --sat_fm_uc_incr true
% 0.95/1.09 % --sat_out_model small
% 0.95/1.09 % --sat_out_clauses false
% 0.95/1.09
% 0.95/1.09 % ------ QBF Options
% 0.95/1.09
% 0.95/1.09 % --qbf_mode false
% 0.95/1.09 % --qbf_elim_univ true
% 0.95/1.09 % --qbf_sk_in true
% 0.95/1.09 % --qbf_pred_elim true
% 0.95/1.09 % --qbf_split 32
% 0.95/1.09
% 0.95/1.09 % ------ BMC1 Options
% 0.95/1.09
% 0.95/1.09 % --bmc1_incremental false
% 0.95/1.09 % --bmc1_axioms reachable_all
% 0.95/1.09 % --bmc1_min_bound 0
% 0.95/1.09 % --bmc1_max_bound -1
% 0.95/1.09 % --bmc1_max_bound_default -1
% 0.95/1.09 % --bmc1_symbol_reachability true
% 0.95/1.09 % --bmc1_property_lemmas false
% 0.95/1.09 % --bmc1_k_induction false
% 0.95/1.09 % --bmc1_non_equiv_states false
% 0.95/1.09 % --bmc1_deadlock false
% 0.95/1.09 % --bmc1_ucm false
% 0.95/1.09 % --bmc1_add_unsat_core none
% 0.95/1.09 % --bmc1_unsat_core_children false
% 0.95/1.09 % --bmc1_unsat_core_extrapolate_axioms false
% 0.95/1.09 % --bmc1_out_stat full
% 0.95/1.09 % --bmc1_ground_init false
% 0.95/1.09 % --bmc1_pre_inst_next_state false
% 0.95/1.09 % --bmc1_pre_inst_state false
% 0.95/1.09 % --bmc1_pre_inst_reach_state false
% 0.95/1.09 % --bmc1_out_unsat_core false
% 0.95/1.09 % --bmc1_aig_witness_out false
% 0.95/1.09 % --bmc1_verbose false
% 0.95/1.09 % --bmc1_dump_clauses_tptp false
% 3.75/3.99 % --bmc1_dump_unsat_core_tptp false
% 3.75/3.99 % --bmc1_dump_file -
% 3.75/3.99 % --bmc1_ucm_expand_uc_limit 128
% 3.75/3.99 % --bmc1_ucm_n_expand_iterations 6
% 3.75/3.99 % --bmc1_ucm_extend_mode 1
% 3.75/3.99 % --bmc1_ucm_init_mode 2
% 3.75/3.99 % --bmc1_ucm_cone_mode none
% 3.75/3.99 % --bmc1_ucm_reduced_relation_type 0
% 3.75/3.99 % --bmc1_ucm_relax_model 4
% 3.75/3.99 % --bmc1_ucm_full_tr_after_sat true
% 3.75/3.99 % --bmc1_ucm_expand_neg_assumptions false
% 3.75/3.99 % --bmc1_ucm_layered_model none
% 3.75/3.99 % --bmc1_ucm_max_lemma_size 10
% 3.75/3.99
% 3.75/3.99 % ------ AIG Options
% 3.75/3.99
% 3.75/3.99 % --aig_mode false
% 3.75/3.99
% 3.75/3.99 % ------ Instantiation Options
% 3.75/3.99
% 3.75/3.99 % --instantiation_flag true
% 3.75/3.99 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.75/3.99 % --inst_solver_per_active 750
% 3.75/3.99 % --inst_solver_calls_frac 0.5
% 3.75/3.99 % --inst_passive_queue_type priority_queues
% 3.75/3.99 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.75/3.99 % --inst_passive_queues_freq [25;2]
% 3.75/3.99 % --inst_dismatching true
% 3.75/3.99 % --inst_eager_unprocessed_to_passive true
% 3.75/3.99 % --inst_prop_sim_given true
% 3.75/3.99 % --inst_prop_sim_new false
% 3.75/3.99 % --inst_orphan_elimination true
% 3.75/3.99 % --inst_learning_loop_flag true
% 3.75/3.99 % --inst_learning_start 3000
% 3.75/3.99 % --inst_learning_factor 2
% 3.75/3.99 % --inst_start_prop_sim_after_learn 3
% 3.75/3.99 % --inst_sel_renew solver
% 3.75/3.99 % --inst_lit_activity_flag true
% 3.75/3.99 % --inst_out_proof true
% 3.75/3.99
% 3.75/3.99 % ------ Resolution Options
% 3.75/3.99
% 3.75/3.99 % --resolution_flag true
% 3.75/3.99 % --res_lit_sel kbo_max
% 3.75/3.99 % --res_to_prop_solver none
% 3.75/3.99 % --res_prop_simpl_new false
% 3.75/3.99 % --res_prop_simpl_given false
% 3.75/3.99 % --res_passive_queue_type priority_queues
% 3.75/3.99 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.75/3.99 % --res_passive_queues_freq [15;5]
% 3.75/3.99 % --res_forward_subs full
% 3.75/3.99 % --res_backward_subs full
% 3.75/3.99 % --res_forward_subs_resolution true
% 3.75/3.99 % --res_backward_subs_resolution true
% 3.75/3.99 % --res_orphan_elimination false
% 3.75/3.99 % --res_time_limit 1000.
% 3.75/3.99 % --res_out_proof true
% 3.75/3.99 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a30947.s
% 3.75/3.99 % --modulo true
% 3.75/3.99
% 3.75/3.99 % ------ Combination Options
% 3.75/3.99
% 3.75/3.99 % --comb_res_mult 1000
% 3.75/3.99 % --comb_inst_mult 300
% 3.75/3.99 % ------
% 3.75/3.99
% 3.75/3.99 % ------ Parsing...% successful
% 3.75/3.99
% 3.75/3.99 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 3.75/3.99
% 3.75/3.99 % ------ Proving...
% 3.75/3.99 % ------ Problem Properties
% 3.75/3.99
% 3.75/3.99 %
% 3.75/3.99 % EPR false
% 3.75/3.99 % Horn false
% 3.75/3.99 % Has equality true
% 3.75/3.99
% 3.75/3.99 % % ------ Input Options Time Limit: Unbounded
% 3.75/3.99
% 3.75/3.99
% 3.75/3.99 Compiling...
% 3.75/3.99 Loading plugin: done.
% 3.75/3.99 Compiling...
% 3.75/3.99 Loading plugin: done.
% 3.75/3.99 Compiling...
% 3.75/3.99 Loading plugin: done.
% 3.75/3.99 Compiling...
% 3.75/3.99 Loading plugin: done.
% 3.75/3.99 Compiling...
% 3.75/3.99 Loading plugin: done.
% 3.75/3.99 Compiling...
% 3.75/3.99 Loading plugin: done.
% 3.75/3.99 Compiling...
% 3.75/3.99 Loading plugin: done.
% 3.75/3.99 Compiling...
% 3.75/3.99 Loading plugin: done.
% 3.75/3.99 Compiling...
% 3.75/3.99 Loading plugin: done.
% 3.75/3.99 Compiling...
% 3.75/3.99 Loading plugin: done.
% 3.75/3.99 Compiling...
% 3.75/3.99 Loading plugin: done.
% 3.75/3.99 Compiling...
% 3.75/3.99 Loading plugin: done.
% 3.75/3.99 % % ------ Current options:
% 3.75/3.99
% 3.75/3.99 % ------ Input Options
% 3.75/3.99
% 3.75/3.99 % --out_options all
% 3.75/3.99 % --tptp_safe_out true
% 3.75/3.99 % --problem_path ""
% 3.75/3.99 % --include_path ""
% 3.75/3.99 % --clausifier .//eprover
% 3.75/3.99 % --clausifier_options --tstp-format
% 3.75/3.99 % --stdin false
% 3.75/3.99 % --dbg_backtrace false
% 3.75/3.99 % --dbg_dump_prop_clauses false
% 3.75/3.99 % --dbg_dump_prop_clauses_file -
% 3.75/3.99 % --dbg_out_stat false
% 3.75/3.99
% 3.75/3.99 % ------ General Options
% 3.75/3.99
% 3.75/3.99 % --fof false
% 3.75/3.99 % --time_out_real 150.
% 3.75/3.99 % --time_out_prep_mult 0.2
% 3.75/3.99 % --time_out_virtual -1.
% 3.75/3.99 % --schedule none
% 3.75/3.99 % --ground_splitting input
% 3.75/3.99 % --splitting_nvd 16
% 3.75/3.99 % --non_eq_to_eq false
% 3.75/3.99 % --prep_gs_sim true
% 3.75/3.99 % --prep_unflatten false
% 3.75/3.99 % --prep_res_sim true
% 3.75/3.99 % --prep_upred true
% 3.75/3.99 % --res_sim_input true
% 3.75/3.99 % --clause_weak_htbl true
% 3.75/3.99 % --gc_record_bc_elim false
% 3.75/3.99 % --symbol_type_check false
% 3.75/3.99 % --clausify_out false
% 3.75/3.99 % --large_theory_mode false
% 3.75/3.99 % --prep_sem_filter none
% 3.75/3.99 % --prep_sem_filter_out false
% 3.75/3.99 % --preprocessed_out false
% 3.75/3.99 % --sub_typing false
% 3.75/3.99 % --brand_transform false
% 3.75/3.99 % --pure_diseq_elim true
% 3.75/3.99 % --min_unsat_core false
% 3.75/3.99 % --pred_elim true
% 3.75/3.99 % --add_important_lit false
% 3.75/3.99 % --soft_assumptions false
% 3.75/3.99 % --reset_solvers false
% 3.75/3.99 % --bc_imp_inh []
% 3.75/3.99 % --conj_cone_tolerance 1.5
% 3.75/3.99 % --prolific_symb_bound 500
% 3.75/3.99 % --lt_threshold 2000
% 3.75/3.99
% 3.75/3.99 % ------ SAT Options
% 3.75/3.99
% 3.75/3.99 % --sat_mode false
% 3.75/3.99 % --sat_fm_restart_options ""
% 3.75/3.99 % --sat_gr_def false
% 3.75/3.99 % --sat_epr_types true
% 3.75/3.99 % --sat_non_cyclic_types false
% 3.75/3.99 % --sat_finite_models false
% 3.75/3.99 % --sat_fm_lemmas false
% 3.75/3.99 % --sat_fm_prep false
% 3.75/3.99 % --sat_fm_uc_incr true
% 3.75/3.99 % --sat_out_model small
% 3.75/3.99 % --sat_out_clauses false
% 3.75/3.99
% 3.75/3.99 % ------ QBF Options
% 3.75/3.99
% 3.75/3.99 % --qbf_mode false
% 3.75/3.99 % --qbf_elim_univ true
% 3.75/3.99 % --qbf_sk_in true
% 3.75/3.99 % --qbf_pred_elim true
% 3.75/3.99 % --qbf_split 32
% 3.75/3.99
% 3.75/3.99 % ------ BMC1 Options
% 3.75/3.99
% 3.75/3.99 % --bmc1_incremental false
% 3.75/3.99 % --bmc1_axioms reachable_all
% 3.75/3.99 % --bmc1_min_bound 0
% 3.75/3.99 % --bmc1_max_bound -1
% 3.75/3.99 % --bmc1_max_bound_default -1
% 3.75/3.99 % --bmc1_symbol_reachability true
% 3.75/3.99 % --bmc1_property_lemmas false
% 3.75/3.99 % --bmc1_k_induction false
% 3.75/3.99 % --bmc1_non_equiv_states false
% 3.75/3.99 % --bmc1_deadlock false
% 3.75/3.99 % --bmc1_ucm false
% 3.75/3.99 % --bmc1_add_unsat_core none
% 3.75/3.99 % --bmc1_unsat_core_children false
% 3.75/3.99 % --bmc1_unsat_core_extrapolate_axioms false
% 3.75/3.99 % --bmc1_out_stat full
% 3.75/3.99 % --bmc1_ground_init false
% 3.75/3.99 % --bmc1_pre_inst_next_state false
% 3.75/3.99 % --bmc1_pre_inst_state false
% 3.75/3.99 % --bmc1_pre_inst_reach_state false
% 3.75/3.99 % --bmc1_out_unsat_core false
% 3.75/3.99 % --bmc1_aig_witness_out false
% 3.75/3.99 % --bmc1_verbose false
% 3.75/3.99 % --bmc1_dump_clauses_tptp false
% 3.75/3.99 % --bmc1_dump_unsat_core_tptp false
% 3.75/3.99 % --bmc1_dump_file -
% 3.75/3.99 % --bmc1_ucm_expand_uc_limit 128
% 3.75/3.99 % --bmc1_ucm_n_expand_iterations 6
% 3.75/3.99 % --bmc1_ucm_extend_mode 1
% 3.75/3.99 % --bmc1_ucm_init_mode 2
% 3.75/3.99 % --bmc1_ucm_cone_mode none
% 3.75/3.99 % --bmc1_ucm_reduced_relation_type 0
% 3.75/3.99 % --bmc1_ucm_relax_model 4
% 3.75/3.99 % --bmc1_ucm_full_tr_after_sat true
% 3.75/3.99 % --bmc1_ucm_expand_neg_assumptions false
% 3.75/3.99 % --bmc1_ucm_layered_model none
% 3.75/3.99 % --bmc1_ucm_max_lemma_size 10
% 3.75/3.99
% 3.75/3.99 % ------ AIG Options
% 3.75/3.99
% 3.75/3.99 % --aig_mode false
% 3.75/3.99
% 3.75/3.99 % ------ Instantiation Options
% 3.75/3.99
% 3.75/3.99 % --instantiation_flag true
% 3.75/3.99 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.75/3.99 % --inst_solver_per_active 750
% 3.75/3.99 % --inst_solver_calls_frac 0.5
% 3.75/3.99 % --inst_passive_queue_type priority_queues
% 3.75/3.99 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.75/3.99 % --inst_passive_queues_freq [25;2]
% 3.75/3.99 % --inst_dismatching true
% 3.75/3.99 % --inst_eager_unprocessed_to_passive true
% 3.75/3.99 % --inst_prop_sim_given true
% 3.75/3.99 % --inst_prop_sim_new false
% 3.75/3.99 % --inst_orphan_elimination true
% 3.75/3.99 % --inst_learning_loop_flag true
% 3.75/3.99 % --inst_learning_start 3000
% 3.75/3.99 % --inst_learning_factor 2
% 3.75/3.99 % --inst_start_prop_sim_after_learn 3
% 3.75/3.99 % --inst_sel_renew solver
% 3.75/3.99 % --inst_lit_activity_flag true
% 3.75/3.99 % --inst_out_proof true
% 3.75/3.99
% 3.75/3.99 % ------ Resolution Options
% 3.75/3.99
% 3.75/3.99 % --resolution_flag true
% 3.75/3.99 % --res_lit_sel kbo_max
% 3.75/3.99 % --res_to_prop_solver none
% 3.75/3.99 % --res_prop_simpl_new false
% 3.75/3.99 % --res_prop_simpl_given false
% 3.75/3.99 % --res_passive_queue_type priority_queues
% 3.75/3.99 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.75/3.99 % --res_passive_queues_freq [15;5]
% 3.75/3.99 % --res_forward_subs full
% 3.75/3.99 % --res_backward_subs full
% 3.75/3.99 % --res_forward_subs_resolution true
% 3.75/3.99 % --res_backward_subs_resolution true
% 3.75/3.99 % --res_orphan_elimination false
% 3.75/3.99 % --res_time_limit 1000.
% 3.75/3.99 % --res_out_proof true
% 3.75/3.99 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a30947.s
% 3.75/3.99 % --modulo true
% 3.75/3.99
% 3.75/3.99 % ------ Combination Options
% 3.75/3.99
% 3.75/3.99 % --comb_res_mult 1000
% 3.75/3.99 % --comb_inst_mult 300
% 3.75/3.99 % ------
% 3.75/3.99
% 3.75/3.99
% 3.75/3.99
% 3.75/3.99 % ------ Proving...
% 3.75/3.99 % warning: shown sat in sat incomplete mode
% 3.75/3.99 %
% 3.75/3.99
% 3.75/3.99
% 3.75/3.99
% 3.75/3.99
% 3.75/3.99 cnf(c_4313,plain,
% 3.75/3.99 ( ~ class_Fields_Ofield(X0)
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/3.99 | 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))
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X0,X3,X5,X6,X7) ),
% 3.75/3.99 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5154_1) ).
% 3.75/3.99
% 3.75/3.99 cnf(c_18293,plain,
% 3.75/3.99 ( ~ class_Fields_Ofield(X0)
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/3.99 | 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))
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X0,X3,X5,X6,X7) ),
% 3.75/3.99 inference(copy,[status(esa)],[c_4313]) ).
% 3.75/3.99
% 3.75/3.99 cnf(c_18294,plain,
% 3.75/3.99 ( ~ class_Fields_Ofield(X0)
% 3.75/3.99 | 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))
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X7,X6)
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X0,X7,X3,X4,X5) ),
% 3.75/3.99 inference(rewriting,[status(thm)],[c_18293]) ).
% 3.75/3.99
% 3.75/3.99 cnf(c_4306,plain,
% 3.75/3.99 ( c_Polynomial_Opdivmod__rel(X0,c_Polynomial_OpCons(X0,X1,X2),X3,c_Polynomial_OpCons(X0,X4,X5),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X6),c_Polynomial_Osmult(X0,X4,X3)))
% 3.75/3.99 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/3.99 | X4 != c_Rings_Oinverse__class_Odivide(X0,hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_OpCons(X0,X1,X6)),c_Polynomial_Odegree(X0,X3)),hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)))
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X0,X2,X3,X5,X6)
% 3.75/3.99 | ~ class_Fields_Ofield(X0) ),
% 3.75/3.99 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5155_4) ).
% 3.75/3.99
% 3.75/3.99 cnf(c_18279,plain,
% 3.75/3.99 ( c_Polynomial_Opdivmod__rel(X0,c_Polynomial_OpCons(X0,X1,X2),X3,c_Polynomial_OpCons(X0,X4,X5),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X6),c_Polynomial_Osmult(X0,X4,X3)))
% 3.75/3.99 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/3.99 | X4 != c_Rings_Oinverse__class_Odivide(X0,hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_OpCons(X0,X1,X6)),c_Polynomial_Odegree(X0,X3)),hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)))
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X0,X2,X3,X5,X6)
% 3.75/3.99 | ~ class_Fields_Ofield(X0) ),
% 3.75/3.99 inference(copy,[status(esa)],[c_4306]) ).
% 3.75/3.99
% 3.75/3.99 cnf(c_18280,plain,
% 3.75/3.99 ( ~ class_Fields_Ofield(X0)
% 3.75/3.99 | c_Polynomial_Opdivmod__rel(X0,c_Polynomial_OpCons(X0,X1,X2),X3,c_Polynomial_OpCons(X0,X4,X5),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X6),c_Polynomial_Osmult(X0,X4,X3)))
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X0,X2,X3,X5,X6)
% 3.75/3.99 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/3.99 | X4 != c_Rings_Oinverse__class_Odivide(X0,hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_OpCons(X0,X1,X6)),c_Polynomial_Odegree(X0,X3)),hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3))) ),
% 3.75/3.99 inference(rewriting,[status(thm)],[c_18279]) ).
% 3.75/3.99
% 3.75/3.99 cnf(c_4295,plain,
% 3.75/3.99 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.75/3.99 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/3.99 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3))),c_Rings_Oinverse__class_Oinverse(X0,X2))) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2)),X3)
% 3.75/3.99 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/3.99 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5159_1) ).
% 3.75/3.99
% 3.75/3.99 cnf(c_18257,plain,
% 3.75/3.99 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.75/3.99 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/3.99 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3))),c_Rings_Oinverse__class_Oinverse(X0,X2))) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2)),X3)
% 3.75/3.99 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/3.99 inference(copy,[status(esa)],[c_4295]) ).
% 3.75/3.99
% 3.75/3.99 cnf(c_18258,plain,
% 3.75/3.99 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.75/3.99 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3))),c_Rings_Oinverse__class_Oinverse(X0,X2))) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2)),X3)
% 3.75/3.99 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/3.99 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/3.99 inference(rewriting,[status(thm)],[c_18257]) ).
% 3.75/3.99
% 3.75/3.99 cnf(c_4281,plain,
% 3.75/3.99 ( X0 = X1
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X5,X1)
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X6,X0)
% 3.75/3.99 | ~ class_Fields_Ofield(X2) ),
% 3.75/3.99 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5162_3) ).
% 3.75/3.99
% 3.75/3.99 cnf(c_18229,plain,
% 3.75/3.99 ( X0 = X1
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X5,X1)
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X6,X0)
% 3.75/3.99 | ~ class_Fields_Ofield(X2) ),
% 3.75/3.99 inference(copy,[status(esa)],[c_4281]) ).
% 3.75/3.99
% 3.75/3.99 cnf(c_18230,plain,
% 3.75/3.99 ( ~ class_Fields_Ofield(X0)
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X5,X6)
% 3.75/3.99 | X6 = X4 ),
% 3.75/3.99 inference(rewriting,[status(thm)],[c_18229]) ).
% 3.75/3.99
% 3.75/3.99 cnf(c_4277,plain,
% 3.75/3.99 ( X0 = X1
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X1,X5)
% 3.75/3.99 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X0,X6)
% 3.75/3.99 | ~ class_Fields_Ofield(X2) ),
% 3.75/3.99 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5163_3) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18221,plain,
% 3.75/4.00 ( X0 = X1
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X1,X5)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X0,X6)
% 3.75/4.00 | ~ class_Fields_Ofield(X2) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4277]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18222,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X5,X6)
% 3.75/4.00 | X5 = X3 ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18221]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4268,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,X1,c_Polynomial_Osmult(X0,X2,X3),c_Polynomial_Osmult(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),X4),X5)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X3,X4,X5)
% 3.75/4.00 | ~ class_Fields_Ofield(X0) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5166_3) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18203,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,X1,c_Polynomial_Osmult(X0,X2,X3),c_Polynomial_Osmult(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),X4),X5)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X3,X4,X5)
% 3.75/4.00 | ~ class_Fields_Ofield(X0) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4268]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18204,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X0,X1,c_Polynomial_Osmult(X0,X2,X3),c_Polynomial_Osmult(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),X4),X5)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X3,X4,X5)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18203]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4256,plain,
% 3.75/4.00 ( 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))
% 3.75/4.00 | ~ class_Rings_Oordered__ring(X0)
% 3.75/4.00 | ~ 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) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5171_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18179,plain,
% 3.75/4.00 ( 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))
% 3.75/4.00 | ~ class_Rings_Oordered__ring(X0)
% 3.75/4.00 | ~ 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) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4256]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18180,plain,
% 3.75/4.00 ( ~ class_Rings_Oordered__ring(X0)
% 3.75/4.00 | ~ 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)
% 3.75/4.00 | 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)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18179]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4253,plain,
% 3.75/4.00 ( 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))
% 3.75/4.00 | ~ class_Rings_Oordered__ring(X0)
% 3.75/4.00 | ~ 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)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5172_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18173,plain,
% 3.75/4.00 ( 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))
% 3.75/4.00 | ~ class_Rings_Oordered__ring(X0)
% 3.75/4.00 | ~ 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)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4253]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18174,plain,
% 3.75/4.00 ( ~ class_Rings_Oordered__ring(X0)
% 3.75/4.00 | 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))
% 3.75/4.00 | ~ 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)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18173]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4245,plain,
% 3.75/4.00 ( 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)
% 3.75/4.00 | ~ class_Rings_Oordered__ring(X0)
% 3.75/4.00 | ~ 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)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5175_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18157,plain,
% 3.75/4.00 ( 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)
% 3.75/4.00 | ~ class_Rings_Oordered__ring(X0)
% 3.75/4.00 | ~ 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)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4245]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18158,plain,
% 3.75/4.00 ( ~ class_Rings_Oordered__ring(X0)
% 3.75/4.00 | 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)
% 3.75/4.00 | ~ 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)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18157]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4242,plain,
% 3.75/4.00 ( 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))
% 3.75/4.00 | ~ class_Rings_Oordered__ring(X0)
% 3.75/4.00 | ~ 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)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5176_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18151,plain,
% 3.75/4.00 ( 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))
% 3.75/4.00 | ~ class_Rings_Oordered__ring(X0)
% 3.75/4.00 | ~ 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)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4242]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18152,plain,
% 3.75/4.00 ( ~ class_Rings_Oordered__ring(X0)
% 3.75/4.00 | ~ 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))
% 3.75/4.00 | 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)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18151]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4239,plain,
% 3.75/4.00 ( X0 = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X3),X4)
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X1,X0,X3,X2,X4) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5177_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18145,plain,
% 3.75/4.00 ( X0 = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X3),X4)
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X1,X0,X3,X2,X4) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4239]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18146,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | X1 = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18145]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4237,plain,
% 3.75/4.00 ( ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X4),c_Polynomial_Odegree(X0,X2))
% 3.75/4.00 | X4 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5178_1) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18141,plain,
% 3.75/4.00 ( ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X4),c_Polynomial_Odegree(X0,X2))
% 3.75/4.00 | X4 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4237]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18142,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,X3,X2,X4,X1)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18141]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4234,plain,
% 3.75/4.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 3.75/4.00 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,X3,X2,X4,X1) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5178_4) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18135,plain,
% 3.75/4.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 3.75/4.00 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,X3,X2,X4,X1) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4234]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18136,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,X3,X2,X4,X1)
% 3.75/4.00 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18135]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4232,plain,
% 3.75/4.00 ( ~ class_Rings_Odivision__ring(X0)
% 3.75/4.00 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Ominus__class_Ominus(X0,X1,X2))),c_Rings_Oinverse__class_Oinverse(X0,X2))) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5179_1) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18131,plain,
% 3.75/4.00 ( ~ class_Rings_Odivision__ring(X0)
% 3.75/4.00 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Ominus__class_Ominus(X0,X1,X2))),c_Rings_Oinverse__class_Oinverse(X0,X2))) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4232]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18132,plain,
% 3.75/4.00 ( ~ class_Rings_Odivision__ring(X0)
% 3.75/4.00 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Ominus__class_Ominus(X0,X1,X2))),c_Rings_Oinverse__class_Oinverse(X0,X2))) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.75/4.00 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18131]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4221,plain,
% 3.75/4.00 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0,X3) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5182_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18109,plain,
% 3.75/4.00 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0,X3) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4221]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18110,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18109]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4218,plain,
% 3.75/4.00 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X0,X3) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5183_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18103,plain,
% 3.75/4.00 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X0,X3) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4218]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18104,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18103]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4215,plain,
% 3.75/4.00 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X3,X0) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5184_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18097,plain,
% 3.75/4.00 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X3,X0) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4215]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18098,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3)
% 3.75/4.00 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18097]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4212,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 3.75/4.00 | ~ hBOOL(hAPP(hAPP(X0,sk1_esk26_3(X1,X0,X2)),sk1_esk27_3(X1,X0,X2))) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5185_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18091,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 3.75/4.00 | ~ hBOOL(hAPP(hAPP(X0,sk1_esk26_3(X1,X0,X2)),sk1_esk27_3(X1,X0,X2))) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4212]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18092,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.75/4.00 | ~ hBOOL(hAPP(hAPP(X0,sk1_esk26_3(X1,X0,X2)),sk1_esk27_3(X1,X0,X2)))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18091]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4209,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.75/4.00 | ~ hBOOL(hAPP(hAPP(X0,sk1_esk24_3(X1,X0,X2)),sk1_esk25_3(X1,X0,X2))) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5186_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18085,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.75/4.00 | ~ hBOOL(hAPP(hAPP(X0,sk1_esk24_3(X1,X0,X2)),sk1_esk25_3(X1,X0,X2))) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4209]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18086,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.75/4.00 | ~ hBOOL(hAPP(hAPP(X0,sk1_esk24_3(X1,X0,X2)),sk1_esk25_3(X1,X0,X2)))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18085]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4206,plain,
% 3.75/4.00 ( X0 = X1
% 3.75/4.00 | ~ class_Fields_Ofield(X2)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X3,X0) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5187_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18079,plain,
% 3.75/4.00 ( X0 = X1
% 3.75/4.00 | ~ class_Fields_Ofield(X2)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X3,X0) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4206]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18080,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3)
% 3.75/4.00 | X3 = X1 ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18079]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4203,plain,
% 3.75/4.00 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X1,X3,X0,X2,X4) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5188_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18073,plain,
% 3.75/4.00 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X1,X3,X0,X2,X4) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4203]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18074,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18073]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4202,plain,
% 3.75/4.00 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X0,X4)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5188_3) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18071,plain,
% 3.75/4.00 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X0,X4)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4202]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18072,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18071]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4195,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X4),c_Polynomial_Odegree(X0,X2)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5192_4) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18057,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X4),c_Polynomial_Odegree(X0,X2)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4195]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18058,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X0,X3,X2,X4,X1)
% 3.75/4.00 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X3 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X4),X2),X1) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18057]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4190,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X4),c_Polynomial_Odegree(X0,X2)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5193_4) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18047,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X4),c_Polynomial_Odegree(X0,X2)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4190]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18048,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X0,X3,X2,X4,X1)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X3 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X4),X2),X1) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18047]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4184,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 3.75/4.00 | X4 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X2)
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 3.75/4.00 | ~ hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X4,X3))) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5194_5) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18035,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 3.75/4.00 | X4 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X2)
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 3.75/4.00 | ~ hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X4,X3))) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4184]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18036,plain,
% 3.75/4.00 ( ~ hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.75/4.00 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X2)
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3),X4) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18035]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4178,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.75/4.00 | X4 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X2)
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X2)
% 3.75/4.00 | ~ hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X4,X3))) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5195_5) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18023,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.75/4.00 | X4 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X2)
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X2)
% 3.75/4.00 | ~ hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X4,X3))) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4178]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18024,plain,
% 3.75/4.00 ( ~ hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.75/4.00 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X4)
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3),X4) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18023]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4172,plain,
% 3.75/4.00 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X1,X2,X0,X3,X4)
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | X2 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X0),X4)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5197_3) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18011,plain,
% 3.75/4.00 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X1,X2,X0,X3,X4)
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | X2 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X0),X4)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4172]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18012,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18011]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4171,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5197_4) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18009,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4171]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18010,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18009]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4167,plain,
% 3.75/4.00 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | X2 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X4),X3),X0)
% 3.75/4.00 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5198_3) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18001,plain,
% 3.75/4.00 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | X2 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X4),X3),X0)
% 3.75/4.00 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4167]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18002,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_18001]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4166,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5198_4) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17999,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4166]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_18000,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17999]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4157,plain,
% 3.75/4.00 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 3.75/4.00 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | X2 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X4),X3),X0) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5200_3) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17981,plain,
% 3.75/4.00 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 3.75/4.00 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | X2 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X4),X3),X0) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4157]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17982,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17981]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4156,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 3.75/4.00 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5200_4) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17979,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 3.75/4.00 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4156]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17980,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17979]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4144,plain,
% 3.75/4.00 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.75/4.00 | ~ class_Rings_Odvd(X0)
% 3.75/4.00 | ~ class_Rings_Ocomm__ring(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X4)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X4)),X3)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5203_4) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17955,plain,
% 3.75/4.00 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.75/4.00 | ~ class_Rings_Odvd(X0)
% 3.75/4.00 | ~ class_Rings_Ocomm__ring(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X4)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X4)),X3)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4144]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17956,plain,
% 3.75/4.00 ( ~ class_Rings_Ocomm__ring(X0)
% 3.75/4.00 | ~ class_Rings_Odvd(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X5))
% 3.75/4.00 | c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X5))
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X4) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17955]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4134,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Rings_Oinverse__class_Oinverse(X0,X1))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5208_1) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17935,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Rings_Oinverse__class_Oinverse(X0,X1))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4134]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17936,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Rings_Oinverse__class_Oinverse(X0,X1))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.75/4.00 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17935]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4129,plain,
% 3.75/4.00 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.75/4.00 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5209_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17925,plain,
% 3.75/4.00 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.75/4.00 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4129]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17926,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X3)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.00 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3 ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17925]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4125,plain,
% 3.75/4.00 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = X3
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X1,X3,X0),X3)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5209_6) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17917,plain,
% 3.75/4.00 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = X3
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X1,X3,X0),X3)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4125]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17918,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X3)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.00 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3 ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17917]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4122,plain,
% 3.75/4.00 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)) != c_Groups_Ozero__class_Ozero(X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),sk1_esk14_4(X2,X0,X3,X1),X3)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X2)
% 3.75/4.00 | c_Polynomial_Opoly__gcd(X1,X0,X2) = X3
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X0) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5210_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17911,plain,
% 3.75/4.00 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)) != c_Groups_Ozero__class_Ozero(X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),sk1_esk14_4(X2,X0,X3,X1),X3)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X2)
% 3.75/4.00 | c_Polynomial_Opoly__gcd(X1,X0,X2) = X3
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X0) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4122]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17912,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X3)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17911]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4118,plain,
% 3.75/4.00 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | c_Polynomial_Opoly__gcd(X1,X0,X2) = X3
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X2)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),sk1_esk14_4(X2,X0,X3,X1),X3)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)) != c_Groups_Ozero__class_Ozero(X1)
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5210_6) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17903,plain,
% 3.75/4.00 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | c_Polynomial_Opoly__gcd(X1,X0,X2) = X3
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X2)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),sk1_esk14_4(X2,X0,X3,X1),X3)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)) != c_Groups_Ozero__class_Ozero(X1)
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4118]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17904,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X3)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17903]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4117,plain,
% 3.75/4.00 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = X3
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X1,X3,X0),X3)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5210_7) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17901,plain,
% 3.75/4.00 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = X3
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X1,X3,X0),X3)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4117]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17902,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X3)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.00 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.00 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17901]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4112,plain,
% 3.75/4.00 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X0,X3)
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5212_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17891,plain,
% 3.75/4.00 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X0,X3)
% 3.75/4.00 | ~ class_Fields_Ofield(X1)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4112]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17892,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3)
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17891]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4111,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3)
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5212_3) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17889,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3)
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4111]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17890,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3)
% 3.75/4.00 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17889]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4108,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.75/4.00 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk26_3(X1,X0,X2)),sk1_esk27_3(X1,X0,X2)) = X1
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5213_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17883,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.75/4.00 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk26_3(X1,X0,X2)),sk1_esk27_3(X1,X0,X2)) = X1
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4108]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17884,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 3.75/4.00 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk26_3(X1,X0,X2)),sk1_esk27_3(X1,X0,X2)) = X1 ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17883]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4105,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.75/4.00 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk24_3(X1,X0,X2)),sk1_esk25_3(X1,X0,X2)) = X1
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5214_2) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17877,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.75/4.00 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk24_3(X1,X0,X2)),sk1_esk25_3(X1,X0,X2)) = X1
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4105]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17878,plain,
% 3.75/4.00 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.75/4.00 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.75/4.00 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk24_3(X1,X0,X2)),sk1_esk25_3(X1,X0,X2)) = X1 ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17877]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4101,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3)
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X3 != X1
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5215_3) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17869,plain,
% 3.75/4.00 ( c_Polynomial_Opdivmod__rel(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3)
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | X3 != X1
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4101]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17870,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | c_Polynomial_Opdivmod__rel(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3)
% 3.75/4.00 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | X3 != X1 ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17869]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4095,plain,
% 3.75/4.00 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.75/4.00 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.75/4.00 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.75/4.00 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5217_3) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17857,plain,
% 3.75/4.00 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.75/4.00 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.75/4.00 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.75/4.00 inference(copy,[status(esa)],[c_4095]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_17858,plain,
% 3.75/4.00 ( ~ class_Fields_Ofield(X0)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X3)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.00 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.00 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.00 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.00 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.00 inference(rewriting,[status(thm)],[c_17857]) ).
% 3.75/4.00
% 3.75/4.00 cnf(c_4092,plain,
% 3.75/4.00 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = X3
% 3.75/4.00 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.00 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X1,X3,X0),X3)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5217_6) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17851,plain,
% 3.75/4.01 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = X3
% 3.75/4.01 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X1,X3,X0),X3)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4092]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17852,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X3)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.01 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17851]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4088,plain,
% 3.75/4.01 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.75/4.01 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5218_3) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17843,plain,
% 3.75/4.01 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.75/4.01 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4088]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17844,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X3)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.01 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17843]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4085,plain,
% 3.75/4.01 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = X3
% 3.75/4.01 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X1,X3,X0),X3)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5218_6) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17837,plain,
% 3.75/4.01 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = X3
% 3.75/4.01 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X1,X3,X0),X3)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4085]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17838,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X3)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.01 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17837]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4082,plain,
% 3.75/4.01 ( 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)
% 3.75/4.01 | ~ class_Rings_Oring(X0)
% 3.75/4.01 | 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) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5219_2) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17831,plain,
% 3.75/4.01 ( 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)
% 3.75/4.01 | ~ class_Rings_Oring(X0)
% 3.75/4.01 | 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) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4082]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17832,plain,
% 3.75/4.01 ( ~ class_Rings_Oring(X0)
% 3.75/4.01 | 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)
% 3.75/4.01 | 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) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17831]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4079,plain,
% 3.75/4.01 ( 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)
% 3.75/4.01 | ~ class_Rings_Oring(X0)
% 3.75/4.01 | 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 ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5220_2) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17825,plain,
% 3.75/4.01 ( 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)
% 3.75/4.01 | ~ class_Rings_Oring(X0)
% 3.75/4.01 | 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 ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4079]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17826,plain,
% 3.75/4.01 ( ~ class_Rings_Oring(X0)
% 3.75/4.01 | 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
% 3.75/4.01 | 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) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17825]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4051,plain,
% 3.75/4.01 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X5))
% 3.75/4.01 | ~ class_Rings_Odvd(X0)
% 3.75/4.01 | ~ class_Rings_Ocomm__ring(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X4)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X5)) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5227_4) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17769,plain,
% 3.75/4.01 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X5))
% 3.75/4.01 | ~ class_Rings_Odvd(X0)
% 3.75/4.01 | ~ class_Rings_Ocomm__ring(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X4)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X5)) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4051]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17770,plain,
% 3.75/4.01 ( ~ class_Rings_Ocomm__ring(X0)
% 3.75/4.01 | ~ class_Rings_Odvd(X0)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X5))
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X5))
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X4) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17769]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4046,plain,
% 3.75/4.01 ( 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)
% 3.75/4.01 | ~ class_Rings_Oring(X1)
% 3.75/4.01 | 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) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5229_2) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17759,plain,
% 3.75/4.01 ( 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)
% 3.75/4.01 | ~ class_Rings_Oring(X1)
% 3.75/4.01 | 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) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4046]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17760,plain,
% 3.75/4.01 ( ~ class_Rings_Oring(X0)
% 3.75/4.01 | 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)
% 3.75/4.01 | 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) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17759]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4043,plain,
% 3.75/4.01 ( 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
% 3.75/4.01 | ~ class_Rings_Oring(X0)
% 3.75/4.01 | 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) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5230_2) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17753,plain,
% 3.75/4.01 ( 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
% 3.75/4.01 | ~ class_Rings_Oring(X0)
% 3.75/4.01 | 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) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4043]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17754,plain,
% 3.75/4.01 ( ~ class_Rings_Oring(X0)
% 3.75/4.01 | 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
% 3.75/4.01 | 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) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17753]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4036,plain,
% 3.75/4.01 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)),X4))
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X3)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X4)) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5233_2) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17739,plain,
% 3.75/4.01 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)),X4))
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X3)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X4)) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4036]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17740,plain,
% 3.75/4.01 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)),X4))
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X4))
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X3) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17739]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4034,plain,
% 3.75/4.01 ( ~ class_Rings_Odivision__ring(X0)
% 3.75/4.01 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Ominus__class_Ominus(X0,X2,X1))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.75/4.01 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5234_1) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17735,plain,
% 3.75/4.01 ( ~ class_Rings_Odivision__ring(X0)
% 3.75/4.01 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Ominus__class_Ominus(X0,X2,X1))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.75/4.01 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4034]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17736,plain,
% 3.75/4.01 ( ~ class_Rings_Odivision__ring(X0)
% 3.75/4.01 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Ominus__class_Ominus(X0,X2,X1))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.75/4.01 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17735]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4030,plain,
% 3.75/4.01 ( ~ class_Rings_Odivision__ring(X0)
% 3.75/4.01 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Oplus__class_Oplus(X0,X1,X2))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.75/4.01 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5235_1) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17727,plain,
% 3.75/4.01 ( ~ class_Rings_Odivision__ring(X0)
% 3.75/4.01 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Oplus__class_Oplus(X0,X1,X2))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.75/4.01 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4030]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17728,plain,
% 3.75/4.01 ( ~ class_Rings_Odivision__ring(X0)
% 3.75/4.01 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Oplus__class_Oplus(X0,X1,X2))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.75/4.01 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17727]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4024,plain,
% 3.75/4.01 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X3)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5236_3) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17715,plain,
% 3.75/4.01 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X3)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4024]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17716,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3 ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17715]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4021,plain,
% 3.75/4.01 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5236_6) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17709,plain,
% 3.75/4.01 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4021]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17710,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3 ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17709]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4017,plain,
% 3.75/4.01 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X2)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5237_3) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17701,plain,
% 3.75/4.01 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X2)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4017]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17702,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3 ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17701]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4014,plain,
% 3.75/4.01 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5237_6) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17695,plain,
% 3.75/4.01 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4014]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17696,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3 ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17695]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4004,plain,
% 3.75/4.01 ( hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),sk1_esk9_3(X2,X0,X1))))
% 3.75/4.01 | ~ class_Rings_Osemiring__0(X1)
% 3.75/4.01 | ~ class_Rings_Odvd(X1)
% 3.75/4.01 | ~ hBOOL(hAPP(X0,X3))
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,c_Groups_Ozero__class_Ozero(X1))) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5242_4) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17675,plain,
% 3.75/4.01 ( hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),sk1_esk9_3(X2,X0,X1))))
% 3.75/4.01 | ~ class_Rings_Osemiring__0(X1)
% 3.75/4.01 | ~ class_Rings_Odvd(X1)
% 3.75/4.01 | ~ hBOOL(hAPP(X0,X3))
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,c_Groups_Ozero__class_Ozero(X1))) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4004]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17676,plain,
% 3.75/4.01 ( ~ class_Rings_Osemiring__0(X0)
% 3.75/4.01 | ~ class_Rings_Odvd(X0)
% 3.75/4.01 | hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),sk1_esk9_3(X2,X1,X0))))
% 3.75/4.01 | ~ hBOOL(hAPP(X1,X3))
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(X0,X2,c_Groups_Oplus__class_Oplus(X0,X3,c_Groups_Ozero__class_Ozero(X0))) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17675]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_4000,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Rings_Oinverse__class_Odivide(X0,X4,X3))
% 3.75/4.01 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5245_1) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17667,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Rings_Oinverse__class_Odivide(X0,X4,X3))
% 3.75/4.01 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_4000]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17668,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | 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),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.75/4.01 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17667]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_3996,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | c_Rings_Oinverse__class_Odivide(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),X4),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Rings_Oinverse__class_Odivide(X0,X4,X3))
% 3.75/4.01 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5246_1) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17659,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | c_Rings_Oinverse__class_Odivide(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),X4),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Rings_Oinverse__class_Odivide(X0,X4,X3))
% 3.75/4.01 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_3996]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17660,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | c_Rings_Oinverse__class_Odivide(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)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.75/4.01 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17659]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_3984,plain,
% 3.75/4.01 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)) != c_Groups_Ozero__class_Ozero(X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X2)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),sk1_esk14_4(X2,X0,X3,X1),X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X1,X0,X2) = X3
% 3.75/4.01 | ~ class_Fields_Ofield(X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X0) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5249_3) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17635,plain,
% 3.75/4.01 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)) != c_Groups_Ozero__class_Ozero(X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X2)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),sk1_esk14_4(X2,X0,X3,X1),X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X1,X0,X2) = X3
% 3.75/4.01 | ~ class_Fields_Ofield(X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X0) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_3984]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17636,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.01 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17635]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_3981,plain,
% 3.75/4.01 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),sk1_esk14_4(X2,X0,X3,X1),X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X1,X0,X2) = X3
% 3.75/4.01 | ~ class_Fields_Ofield(X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X2)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)) != c_Groups_Ozero__class_Ozero(X1)
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5249_6) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17629,plain,
% 3.75/4.01 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),sk1_esk14_4(X2,X0,X3,X1),X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X1,X0,X2) = X3
% 3.75/4.01 | ~ class_Fields_Ofield(X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X2)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)) != c_Groups_Ozero__class_Ozero(X1)
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_3981]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17630,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.01 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17629]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_3980,plain,
% 3.75/4.01 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5249_7) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17627,plain,
% 3.75/4.01 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.01 | ~ class_Fields_Ofield(X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_3980]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17628,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.01 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17627]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_3976,plain,
% 3.75/4.01 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)) != c_Groups_Ozero__class_Ozero(X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X2)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),sk1_esk14_4(X2,X0,X3,X1),X2)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X1,X0,X2) = X3
% 3.75/4.01 | ~ class_Fields_Ofield(X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X0) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5250_3) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17619,plain,
% 3.75/4.01 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)) != c_Groups_Ozero__class_Ozero(X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X2)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),sk1_esk14_4(X2,X0,X3,X1),X2)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X1,X0,X2) = X3
% 3.75/4.01 | ~ class_Fields_Ofield(X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X0) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_3976]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17620,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.75/4.01 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.75/4.01 inference(rewriting,[status(thm)],[c_17619]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_3973,plain,
% 3.75/4.01 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),sk1_esk14_4(X2,X0,X3,X1),X2)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X1,X0,X2) = X3
% 3.75/4.01 | ~ class_Fields_Ofield(X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X2)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)) != c_Groups_Ozero__class_Ozero(X1)
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.75/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5250_6) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17613,plain,
% 3.75/4.01 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),sk1_esk14_4(X2,X0,X3,X1),X2)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X1,X0,X2) = X3
% 3.75/4.01 | ~ class_Fields_Ofield(X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X0)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X2)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)) != c_Groups_Ozero__class_Ozero(X1)
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.75/4.01 inference(copy,[status(esa)],[c_3973]) ).
% 3.75/4.01
% 3.75/4.01 cnf(c_17614,plain,
% 3.75/4.01 ( ~ class_Fields_Ofield(X0)
% 3.75/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.75/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.75/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.75/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.75/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.01 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.01 inference(rewriting,[status(thm)],[c_17613]) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_3972,plain,
% 3.82/4.01 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.82/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.01 | ~ class_Fields_Ofield(X0)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.01 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5250_7) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_17611,plain,
% 3.82/4.01 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.82/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.01 | ~ class_Fields_Ofield(X0)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.01 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.01 inference(copy,[status(esa)],[c_3972]) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_17612,plain,
% 3.82/4.01 ( ~ class_Fields_Ofield(X0)
% 3.82/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.01 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.01 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.01 inference(rewriting,[status(thm)],[c_17611]) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_3969,plain,
% 3.82/4.01 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.82/4.01 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk27_3(X1,X0,X2),X2)
% 3.82/4.01 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 3.82/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5251_2) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_17605,plain,
% 3.82/4.01 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.82/4.01 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk27_3(X1,X0,X2),X2)
% 3.82/4.01 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 3.82/4.01 inference(copy,[status(esa)],[c_3969]) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_17606,plain,
% 3.82/4.01 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.82/4.01 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 3.82/4.01 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk27_3(X1,X0,X2),X2) ),
% 3.82/4.01 inference(rewriting,[status(thm)],[c_17605]) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_3966,plain,
% 3.82/4.01 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.82/4.01 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,sk1_esk25_3(X1,X0,X2))
% 3.82/4.01 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.82/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5252_2) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_17599,plain,
% 3.82/4.01 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.82/4.01 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,sk1_esk25_3(X1,X0,X2))
% 3.82/4.01 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.82/4.01 inference(copy,[status(esa)],[c_3966]) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_17600,plain,
% 3.82/4.01 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.82/4.01 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.82/4.01 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,sk1_esk25_3(X1,X0,X2)) ),
% 3.82/4.01 inference(rewriting,[status(thm)],[c_17599]) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_3964,plain,
% 3.82/4.01 ( ~ 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)))
% 3.82/4.01 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.01 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.01 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5253_1) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_17595,plain,
% 3.82/4.01 ( ~ 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)))
% 3.82/4.01 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.01 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.01 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.01 inference(copy,[status(esa)],[c_3964]) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_17596,plain,
% 3.82/4.01 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.01 | ~ 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)))
% 3.82/4.01 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.01 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.01 inference(rewriting,[status(thm)],[c_17595]) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_3962,plain,
% 3.82/4.01 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.01 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.01 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.01 | ~ 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))) ),
% 3.82/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5253_3) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_17591,plain,
% 3.82/4.01 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.01 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.01 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.01 | ~ 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))) ),
% 3.82/4.01 inference(copy,[status(esa)],[c_3962]) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_17592,plain,
% 3.82/4.01 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.01 | ~ 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)))
% 3.82/4.01 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.01 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.01 inference(rewriting,[status(thm)],[c_17591]) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_3957,plain,
% 3.82/4.01 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X3)
% 3.82/4.01 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.82/4.01 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.01 | ~ class_Fields_Ofield(X0)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.82/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5254_4) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_17581,plain,
% 3.82/4.01 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X3)
% 3.82/4.01 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.82/4.01 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.01 | ~ class_Fields_Ofield(X0)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.82/4.01 inference(copy,[status(esa)],[c_3957]) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_17582,plain,
% 3.82/4.01 ( ~ class_Fields_Ofield(X0)
% 3.82/4.01 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.01 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.01 inference(rewriting,[status(thm)],[c_17581]) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_3955,plain,
% 3.82/4.01 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.82/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.01 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.01 | ~ class_Fields_Ofield(X0)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.01 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.01 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5254_6) ).
% 3.82/4.01
% 3.82/4.01 cnf(c_17577,plain,
% 3.82/4.01 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.82/4.01 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.01 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.01 | ~ class_Fields_Ofield(X0)
% 3.82/4.01 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.02 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3955]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17578,plain,
% 3.82/4.02 ( ~ class_Fields_Ofield(X0)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.02 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17577]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3950,plain,
% 3.82/4.02 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X3)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.02 | ~ class_Fields_Ofield(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5255_4) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17567,plain,
% 3.82/4.02 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X3)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.02 | ~ class_Fields_Ofield(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3950]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17568,plain,
% 3.82/4.02 ( ~ class_Fields_Ofield(X0)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.02 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.02 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17567]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3948,plain,
% 3.82/4.02 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.02 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.02 | ~ class_Fields_Ofield(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.02 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5255_6) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17563,plain,
% 3.82/4.02 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.02 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.02 | ~ class_Fields_Ofield(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.02 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3948]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17564,plain,
% 3.82/4.02 ( ~ class_Fields_Ofield(X0)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.02 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.02 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17563]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3943,plain,
% 3.82/4.02 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X2)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.82/4.02 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.02 | ~ class_Fields_Ofield(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5256_4) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17553,plain,
% 3.82/4.02 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X2)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.82/4.02 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.02 | ~ class_Fields_Ofield(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3943]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17554,plain,
% 3.82/4.02 ( ~ class_Fields_Ofield(X0)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.02 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17553]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3941,plain,
% 3.82/4.02 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.02 | ~ class_Fields_Ofield(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.02 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5256_6) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17549,plain,
% 3.82/4.02 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.02 | ~ class_Fields_Ofield(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.02 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3941]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17550,plain,
% 3.82/4.02 ( ~ class_Fields_Ofield(X0)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.02 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17549]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3936,plain,
% 3.82/4.02 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X2)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.02 | ~ class_Fields_Ofield(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5257_4) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17539,plain,
% 3.82/4.02 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X2,X3,X1,X0),X2)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X3,X2) = X1
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.02 | ~ class_Fields_Ofield(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3936]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17540,plain,
% 3.82/4.02 ( ~ class_Fields_Ofield(X0)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.02 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.02 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17539]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3934,plain,
% 3.82/4.02 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.02 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.02 | ~ class_Fields_Ofield(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.02 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5257_6) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17535,plain,
% 3.82/4.02 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.02 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.02 | ~ class_Fields_Ofield(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.02 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3934]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17536,plain,
% 3.82/4.02 ( ~ class_Fields_Ofield(X0)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),sk1_esk14_4(X1,X2,X3,X0),X1)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X3,X1)
% 3.82/4.02 | hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3)) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.02 | c_Polynomial_Opoly__gcd(X0,X2,X1) = X3
% 3.82/4.02 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17535]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3925,plain,
% 3.82/4.02 ( hAPP(c_Polynomial_Opoly(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.02 | ~ class_Rings_Oidom(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),X1) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5261_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17517,plain,
% 3.82/4.02 ( hAPP(c_Polynomial_Opoly(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.02 | ~ class_Rings_Oidom(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),X1) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3925]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17518,plain,
% 3.82/4.02 ( ~ class_Rings_Oidom(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),X2)
% 3.82/4.02 | hAPP(c_Polynomial_Opoly(X0,X2),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17517]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3885,plain,
% 3.82/4.02 ( hAPP(c_Polynomial_Opoly(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.02 | ~ class_Rings_Oidom(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X2,c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),X1) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5268_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17437,plain,
% 3.82/4.02 ( hAPP(c_Polynomial_Opoly(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.02 | ~ class_Rings_Oidom(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X2,c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),X1) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3885]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17438,plain,
% 3.82/4.02 ( ~ class_Rings_Oidom(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),X2)
% 3.82/4.02 | hAPP(c_Polynomial_Opoly(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17437]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3880,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.02 | X1 = X3
% 3.82/4.02 | X2 = X4 ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5270_0) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17427,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.02 | X1 = X3
% 3.82/4.02 | X2 = X4 ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3880]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17428,plain,
% 3.82/4.02 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.02 | 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))
% 3.82/4.02 | X1 = X3
% 3.82/4.02 | X2 = X4 ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17427]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3877,plain,
% 3.82/4.02 ( X0 = X1
% 3.82/4.02 | X2 = X3
% 3.82/4.02 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4)
% 3.82/4.02 | 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)) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5270_3) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17421,plain,
% 3.82/4.02 ( X0 = X1
% 3.82/4.02 | X2 = X3
% 3.82/4.02 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4)
% 3.82/4.02 | 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)) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3877]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17422,plain,
% 3.82/4.02 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.02 | 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))
% 3.82/4.02 | X2 = X4
% 3.82/4.02 | X1 = X3 ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17421]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3873,plain,
% 3.82/4.02 ( 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),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X3)),c_Divides_Odiv__class_Odiv(X0,X2,X4))
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X4,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1)
% 3.82/4.02 | ~ class_Divides_Osemiring__div(X0) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5271_3) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17413,plain,
% 3.82/4.02 ( 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),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X3)),c_Divides_Odiv__class_Odiv(X0,X2,X4))
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X4,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1)
% 3.82/4.02 | ~ class_Divides_Osemiring__div(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3873]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17414,plain,
% 3.82/4.02 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X4)
% 3.82/4.02 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X4,X3)),c_Divides_Odiv__class_Odiv(X0,X2,X1)) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17413]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3865,plain,
% 3.82/4.02 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,sk1_esk8_3(X1,X2,X0),c_Groups_Ozero__class_Ozero(X0)))
% 3.82/4.02 | ~ class_Rings_Osemiring__0(X0)
% 3.82/4.02 | ~ class_Rings_Odvd(X0)
% 3.82/4.02 | ~ hBOOL(hAPP(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5275_3) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17397,plain,
% 3.82/4.02 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,sk1_esk8_3(X1,X2,X0),c_Groups_Ozero__class_Ozero(X0)))
% 3.82/4.02 | ~ class_Rings_Osemiring__0(X0)
% 3.82/4.02 | ~ class_Rings_Odvd(X0)
% 3.82/4.02 | ~ hBOOL(hAPP(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3865]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17398,plain,
% 3.82/4.02 ( ~ class_Rings_Osemiring__0(X0)
% 3.82/4.02 | ~ class_Rings_Odvd(X0)
% 3.82/4.02 | ~ hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)))
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(X0,X2,c_Groups_Oplus__class_Oplus(X0,sk1_esk8_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(X0))) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17397]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3863,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5276_1) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17393,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3863]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17394,plain,
% 3.82/4.02 ( ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.02 | 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)) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17393]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3858,plain,
% 3.82/4.02 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.02 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5277_4) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17383,plain,
% 3.82/4.02 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.02 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3858]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17384,plain,
% 3.82/4.02 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.02 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.82/4.02 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17383]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3853,plain,
% 3.82/4.02 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.02 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5278_4) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17373,plain,
% 3.82/4.02 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.02 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3853]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17374,plain,
% 3.82/4.02 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.02 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.82/4.02 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17373]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3848,plain,
% 3.82/4.02 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.02 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5279_4) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17363,plain,
% 3.82/4.02 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.02 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3848]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17364,plain,
% 3.82/4.02 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.02 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.02 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17363]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3843,plain,
% 3.82/4.02 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.02 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5280_4) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17353,plain,
% 3.82/4.02 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.02 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3843]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17354,plain,
% 3.82/4.02 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.02 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.02 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17353]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3836,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk22_3(X2,X1,X0)),sk1_esk23_3(X2,X1,X0)) = X1
% 3.82/4.02 | ~ hBOOL(hAPP(X0,X1)) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5283_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17339,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk22_3(X2,X1,X0)),sk1_esk23_3(X2,X1,X0)) = X1
% 3.82/4.02 | ~ hBOOL(hAPP(X0,X1)) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3836]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17340,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,X1))
% 3.82/4.02 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk22_3(X2,X1,X0)),sk1_esk23_3(X2,X1,X0)) = X1 ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17339]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3815,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,X1))
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.02 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X2)))
% 3.82/4.02 | X3 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5291_4) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17297,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,X1))
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.02 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X2)))
% 3.82/4.02 | X3 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3815]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17298,plain,
% 3.82/4.02 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | hBOOL(hAPP(X0,X3))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.02 | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4),X3) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17297]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3810,plain,
% 3.82/4.02 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 3.82/4.02 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5292_4) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17287,plain,
% 3.82/4.02 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 3.82/4.02 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3810]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17288,plain,
% 3.82/4.02 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.02 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.82/4.02 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17287]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3805,plain,
% 3.82/4.02 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.82/4.02 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5293_4) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17277,plain,
% 3.82/4.02 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.82/4.02 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3805]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17278,plain,
% 3.82/4.02 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.02 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.02 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17277]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3802,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.02 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk22_3(X2,X1,X0)),sk1_esk23_3(X2,X1,X0)) = X1 ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5294_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17271,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.02 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk22_3(X2,X1,X0)),sk1_esk23_3(X2,X1,X0)) = X1 ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3802]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17272,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk22_3(X2,X1,X0)),sk1_esk23_3(X2,X1,X0)) = X1
% 3.82/4.02 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17271]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3793,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk19_3(X2,X1,X0))) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5300_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17253,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk19_3(X2,X1,X0))) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3793]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17254,plain,
% 3.82/4.02 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 3.82/4.02 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk19_3(X2,X1,X0))) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17253]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3790,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk18_3(X2,X1,X0))) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5301_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17247,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk18_3(X2,X1,X0))) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3790]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17248,plain,
% 3.82/4.02 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 3.82/4.02 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk18_3(X2,X1,X0))) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17247]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3787,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk19_3(X2,X1,X0))) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5302_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17241,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk19_3(X2,X1,X0))) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3787]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17242,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk19_3(X2,X1,X0)))
% 3.82/4.02 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17241]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3784,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk18_3(X2,X1,X0))) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5303_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17235,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk18_3(X2,X1,X0))) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3784]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17236,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk18_3(X2,X1,X0)))
% 3.82/4.02 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17235]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3782,plain,
% 3.82/4.02 ( ~ class_Divides_Oring__div(X0)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X4),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X3,X5),X2)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X4,X2) != c_Divides_Odiv__class_Omod(X0,X5,X2) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5304_1) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17231,plain,
% 3.82/4.02 ( ~ class_Divides_Oring__div(X0)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X4),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X3,X5),X2)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X4,X2) != c_Divides_Odiv__class_Omod(X0,X5,X2) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3782]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17232,plain,
% 3.82/4.02 ( ~ class_Divides_Oring__div(X0)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X4,X5),X3)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17231]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3778,plain,
% 3.82/4.02 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X4),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X3,X5),X2)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X4,X2) != c_Divides_Odiv__class_Omod(X0,X5,X2) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5305_1) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17223,plain,
% 3.82/4.02 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X4),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X3,X5),X2)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X4,X2) != c_Divides_Odiv__class_Omod(X0,X5,X2) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3778]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17224,plain,
% 3.82/4.02 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X4,X5),X3)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17223]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3773,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,X1))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk23_3(X2,X1,X0))) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5306_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17213,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,X1))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk23_3(X2,X1,X0))) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3773]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17214,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,sk1_esk23_3(X2,X1,X0)))
% 3.82/4.02 | ~ hBOOL(hAPP(X0,X1)) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17213]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3769,plain,
% 3.82/4.02 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X5),X2)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X4,X2) != c_Divides_Odiv__class_Omod(X0,X5,X2) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5308_1) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17205,plain,
% 3.82/4.02 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X5),X2)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X4,X2) != c_Divides_Odiv__class_Omod(X0,X5,X2) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3769]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17206,plain,
% 3.82/4.02 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5),X3)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 3.82/4.02 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17205]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3761,plain,
% 3.82/4.02 ( ~ c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X0,X3,X2))
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.82/4.02 | ~ class_Divides_Osemiring__div(X0) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5310_1) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17189,plain,
% 3.82/4.02 ( ~ c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X0,X3,X2))
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.82/4.02 | ~ class_Divides_Osemiring__div(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3761]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17190,plain,
% 3.82/4.02 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X0,X3,X2))
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17189]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3760,plain,
% 3.82/4.02 ( ~ c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X0,X3,X2))
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.82/4.02 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5310_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17187,plain,
% 3.82/4.02 ( ~ c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X0,X3,X2))
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.82/4.02 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3760]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17188,plain,
% 3.82/4.02 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X0,X3,X2))
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17187]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3758,plain,
% 3.82/4.02 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.02 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X3),c_Divides_Odiv__class_Odiv(X0,X2,X3)) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5310_4) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17183,plain,
% 3.82/4.02 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.02 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X2)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X3),c_Divides_Odiv__class_Odiv(X0,X2,X3)) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3758]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17184,plain,
% 3.82/4.02 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X0,X3,X2))
% 3.82/4.02 | c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.82/4.02 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17183]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3744,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.02 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5315_5) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17155,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.02 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3744]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17156,plain,
% 3.82/4.02 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17155]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3738,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.02 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5316_5) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17143,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.02 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3738]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17144,plain,
% 3.82/4.02 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X3))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17143]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3736,plain,
% 3.82/4.02 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5317_1) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17139,plain,
% 3.82/4.02 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3736]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17140,plain,
% 3.82/4.02 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17139]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3734,plain,
% 3.82/4.02 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5317_3) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17135,plain,
% 3.82/4.02 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3734]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17136,plain,
% 3.82/4.02 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17135]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3732,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.02 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5317_5) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17131,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.02 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3732]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17132,plain,
% 3.82/4.02 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17131]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3728,plain,
% 3.82/4.02 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5318_3) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17123,plain,
% 3.82/4.02 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3728]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17124,plain,
% 3.82/4.02 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | 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),X4))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17123]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3726,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.02 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5318_5) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17119,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.02 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3726]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17120,plain,
% 3.82/4.02 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | 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),X4))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17119]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3724,plain,
% 3.82/4.02 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5319_1) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17115,plain,
% 3.82/4.02 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3724]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17116,plain,
% 3.82/4.02 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17115]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3722,plain,
% 3.82/4.02 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5319_3) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17111,plain,
% 3.82/4.02 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3722]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17112,plain,
% 3.82/4.02 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17111]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3720,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.02 | ~ class_Rings_Oordered__semiring(X0) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5319_5) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17107,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.02 | ~ class_Rings_Oordered__semiring(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3720]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17108,plain,
% 3.82/4.02 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17107]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3718,plain,
% 3.82/4.02 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5320_1) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17103,plain,
% 3.82/4.02 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3718]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17104,plain,
% 3.82/4.02 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17103]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3716,plain,
% 3.82/4.02 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5320_3) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17099,plain,
% 3.82/4.02 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3716]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17100,plain,
% 3.82/4.02 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17099]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3714,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.02 | ~ class_Rings_Oordered__semiring(X0) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5320_5) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17095,plain,
% 3.82/4.02 ( 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.02 | ~ class_Rings_Oordered__semiring(X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3714]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17096,plain,
% 3.82/4.02 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.02 | 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))
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4)
% 3.82/4.02 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_17095]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_3710,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,sk1_esk8_3(X1,X0,X2)))
% 3.82/4.02 | ~ class_Rings_Osemiring__0(X2)
% 3.82/4.02 | ~ class_Rings_Odvd(X2)
% 3.82/4.02 | ~ hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3))) ),
% 3.82/4.02 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5321_3) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_17087,plain,
% 3.82/4.02 ( hBOOL(hAPP(X0,sk1_esk8_3(X1,X0,X2)))
% 3.82/4.02 | ~ class_Rings_Osemiring__0(X2)
% 3.82/4.02 | ~ class_Rings_Odvd(X2)
% 3.82/4.02 | ~ hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3))) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_3710]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_17088,plain,
% 3.82/4.03 ( ~ class_Rings_Osemiring__0(X0)
% 3.82/4.03 | ~ class_Rings_Odvd(X0)
% 3.82/4.03 | ~ hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)))
% 3.82/4.03 | hBOOL(hAPP(X1,sk1_esk8_3(X2,X1,X0))) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_17087]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3705,plain,
% 3.82/4.03 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.03 | ~ hBOOL(hAPP(X0,sk1_esk23_3(X2,X1,X0))) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5323_2) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_17077,plain,
% 3.82/4.03 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.03 | ~ hBOOL(hAPP(X0,sk1_esk23_3(X2,X1,X0))) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3705]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_17078,plain,
% 3.82/4.03 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.03 | ~ hBOOL(hAPP(X0,sk1_esk23_3(X2,X1,X0)))
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_17077]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3694,plain,
% 3.82/4.03 ( c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X0,X3,X2)) = c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5328_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_17055,plain,
% 3.82/4.03 ( c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X0,X3,X2)) = c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3694]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_17056,plain,
% 3.82/4.03 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.82/4.03 | c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X3,X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)) = c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X3,X2),X1) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_17055]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3691,plain,
% 3.82/4.03 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),X2)
% 3.82/4.03 | ~ class_Rings_Oidom(X0)
% 3.82/4.03 | hAPP(c_Polynomial_Opoly(X0,X2),X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5329_2) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_17049,plain,
% 3.82/4.03 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),X2)
% 3.82/4.03 | ~ class_Rings_Oidom(X0)
% 3.82/4.03 | hAPP(c_Polynomial_Opoly(X0,X2),X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3691]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_17050,plain,
% 3.82/4.03 ( ~ class_Rings_Oidom(X0)
% 3.82/4.03 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),X2)
% 3.82/4.03 | hAPP(c_Polynomial_Opoly(X0,X2),X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_17049]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3688,plain,
% 3.82/4.03 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),X2)
% 3.82/4.03 | ~ class_Rings_Oidom(X0)
% 3.82/4.03 | hAPP(c_Polynomial_Opoly(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5330_2) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_17043,plain,
% 3.82/4.03 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),X2)
% 3.82/4.03 | ~ class_Rings_Oidom(X0)
% 3.82/4.03 | hAPP(c_Polynomial_Opoly(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3688]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_17044,plain,
% 3.82/4.03 ( ~ class_Rings_Oidom(X0)
% 3.82/4.03 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),X2)
% 3.82/4.03 | hAPP(c_Polynomial_Opoly(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_17043]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3673,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5335_4) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_17013,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3673]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_17014,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_17013]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3668,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5336_4) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_17003,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3668]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_17004,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_17003]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3666,plain,
% 3.82/4.03 ( ~ class_Groups_Oab__group__add(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X3),X2) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5337_1) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16999,plain,
% 3.82/4.03 ( ~ class_Groups_Oab__group__add(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X3),X2) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3666]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_17000,plain,
% 3.82/4.03 ( ~ class_Groups_Oab__group__add(X0)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16999]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3662,plain,
% 3.82/4.03 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X3),X2) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5338_1) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16991,plain,
% 3.82/4.03 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X3),X2) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3662]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16992,plain,
% 3.82/4.03 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16991]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3653,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5340_4) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16973,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3653]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16974,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16973]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3648,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5341_4) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16963,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3648]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16964,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16963]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3639,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5343_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16945,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3639]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16946,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16945]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3638,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5343_4) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16943,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3638]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16944,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16943]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3633,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5344_4) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16933,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3633]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16934,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16933]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3629,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5345_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16925,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3629]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16926,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16925]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3628,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5345_4) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16923,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3628]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16924,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16923]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3618,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5347_4) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16903,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3618]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16904,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16903]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3603,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5351_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16873,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3603]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16874,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16873]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3599,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | ~ class_Rings_Olinordered__semiring(X0) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5352_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16865,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | ~ class_Rings_Olinordered__semiring(X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3599]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16866,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__semiring(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16865]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3595,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5353_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16857,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3595]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16858,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16857]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3591,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | ~ class_Rings_Olinordered__semiring(X0) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5354_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16849,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | ~ class_Rings_Olinordered__semiring(X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3591]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16850,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__semiring(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16849]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3587,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5355_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16841,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3587]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16842,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16841]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3583,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5356_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16833,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3583]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16834,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16833]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3579,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5357_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16825,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3579]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16826,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16825]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3575,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5358_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16817,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3575]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16818,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16817]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3559,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.03 | ~ class_Rings_Olinordered__semidom(X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5362_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16785,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.03 | ~ class_Rings_Olinordered__semidom(X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3559]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16786,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16785]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3524,plain,
% 3.82/4.03 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.03 | hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_Opoly__gcd(X1,X0,X2)),c_Polynomial_Odegree(X1,c_Polynomial_Opoly__gcd(X1,X0,X2))) = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.03 | ~ class_Fields_Ofield(X1)
% 3.82/4.03 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5376_2) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16715,plain,
% 3.82/4.03 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.03 | hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_Opoly__gcd(X1,X0,X2)),c_Polynomial_Odegree(X1,c_Polynomial_Opoly__gcd(X1,X0,X2))) = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.03 | ~ class_Fields_Ofield(X1)
% 3.82/4.03 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3524]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16716,plain,
% 3.82/4.03 ( ~ class_Fields_Ofield(X0)
% 3.82/4.03 | hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Opoly__gcd(X0,X1,X2)),c_Polynomial_Odegree(X0,c_Polynomial_Opoly__gcd(X0,X1,X2))) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.03 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16715]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3523,plain,
% 3.82/4.03 ( hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Opoly__gcd(X0,X1,X2)),c_Polynomial_Odegree(X0,c_Polynomial_Opoly__gcd(X0,X1,X2))) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | ~ class_Fields_Ofield(X0)
% 3.82/4.03 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.03 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5376_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16713,plain,
% 3.82/4.03 ( hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Opoly__gcd(X0,X1,X2)),c_Polynomial_Odegree(X0,c_Polynomial_Opoly__gcd(X0,X1,X2))) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | ~ class_Fields_Ofield(X0)
% 3.82/4.03 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.03 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3523]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16714,plain,
% 3.82/4.03 ( ~ class_Fields_Ofield(X0)
% 3.82/4.03 | hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Opoly__gcd(X0,X1,X2)),c_Polynomial_Odegree(X0,c_Polynomial_Opoly__gcd(X0,X1,X2))) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.03 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16713]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3492,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5386_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16651,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3492]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16652,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16651]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3488,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5387_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16643,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3488]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16644,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16643]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3485,plain,
% 3.82/4.03 ( ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X2)
% 3.82/4.03 | c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X3),c_Divides_Odiv__class_Odiv(X0,X2,X3))
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5388_2) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16637,plain,
% 3.82/4.03 ( ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X2)
% 3.82/4.03 | c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X3),c_Divides_Odiv__class_Odiv(X0,X2,X3))
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3485]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16638,plain,
% 3.82/4.03 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X0,X3,X2))
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16637]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3484,plain,
% 3.82/4.03 ( ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.03 | c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X3),c_Divides_Odiv__class_Odiv(X0,X2,X3))
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X2) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5388_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16635,plain,
% 3.82/4.03 ( ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.03 | c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X3),c_Divides_Odiv__class_Odiv(X0,X2,X3))
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X2) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3484]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16636,plain,
% 3.82/4.03 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X0,X3,X2))
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16635]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3483,plain,
% 3.82/4.03 ( c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X0,X3,X2))
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5388_4) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16633,plain,
% 3.82/4.03 ( c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X0,X3,X2))
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3483]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16634,plain,
% 3.82/4.03 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | c_Rings_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X0,X3,X2))
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16633]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3459,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5399_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16585,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3459]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16586,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16585]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3455,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5400_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16577,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3455]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16578,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16577]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3451,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5401_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16569,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3451]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16570,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16569]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3447,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5402_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16561,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3447]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16562,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16561]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3438,plain,
% 3.82/4.03 ( 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))
% 3.82/4.03 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.03 | X1 != X3 ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5405_2) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16543,plain,
% 3.82/4.03 ( 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))
% 3.82/4.03 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.03 | X1 != X3 ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3438]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16544,plain,
% 3.82/4.03 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.03 | 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))
% 3.82/4.03 | X1 != X3 ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16543]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3435,plain,
% 3.82/4.03 ( 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))
% 3.82/4.03 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.03 | X2 != X4 ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5406_2) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16537,plain,
% 3.82/4.03 ( 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))
% 3.82/4.03 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.03 | X2 != X4 ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3435]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16538,plain,
% 3.82/4.03 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.03 | 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))
% 3.82/4.03 | X2 != X4 ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16537]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3434,plain,
% 3.82/4.03 ( ~ 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))
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5407_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16535,plain,
% 3.82/4.03 ( ~ 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))
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3434]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16536,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16535]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3431,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5407_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16529,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3431]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16530,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16529]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3430,plain,
% 3.82/4.03 ( ~ 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))
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5408_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16527,plain,
% 3.82/4.03 ( ~ 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))
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3430]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16528,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16527]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3427,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5408_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16521,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.82/4.03 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3427]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16522,plain,
% 3.82/4.03 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.03 | ~ 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))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16521]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3408,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5417_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16483,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3408]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16484,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16483]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3400,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5419_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16467,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3400]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16468,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16467]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3396,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5420_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16459,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3396]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16460,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16459]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3392,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5421_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16451,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3392]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16452,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16451]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3388,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5422_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16443,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3388]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16444,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16443]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3380,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5424_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16427,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3380]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16428,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 3.82/4.03 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16427]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3368,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5427_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16403,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3368]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16404,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),X3)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16403]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3364,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5428_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16395,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3364]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16396,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16395]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3360,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5429_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16387,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3360]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16388,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16387]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3356,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5430_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16379,plain,
% 3.82/4.03 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3356]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16380,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.82/4.03 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.03 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16379]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3353,plain,
% 3.82/4.03 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.03 | X1 != X2
% 3.82/4.03 | X3 = X4
% 3.82/4.03 | X5 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | 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)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5431_2) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16373,plain,
% 3.82/4.03 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.03 | X1 != X2
% 3.82/4.03 | X3 = X4
% 3.82/4.03 | X5 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | 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)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3353]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16374,plain,
% 3.82/4.03 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.03 | 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))
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X1 != X4
% 3.82/4.03 | X3 = X5 ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16373]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3351,plain,
% 3.82/4.03 ( X0 = X1
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X3)
% 3.82/4.03 | 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))
% 3.82/4.03 | X4 != X5
% 3.82/4.03 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5431_4) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16369,plain,
% 3.82/4.03 ( X0 = X1
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X3)
% 3.82/4.03 | 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))
% 3.82/4.03 | X4 != X5
% 3.82/4.03 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3351]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16370,plain,
% 3.82/4.03 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.03 | 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))
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X3 = X5
% 3.82/4.03 | X1 != X4 ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16369]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3324,plain,
% 3.82/4.03 ( 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))))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5442_2) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16315,plain,
% 3.82/4.03 ( 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))))
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3324]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16316,plain,
% 3.82/4.03 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.03 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.03 | 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))) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16315]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3312,plain,
% 3.82/4.03 ( hBOOL(hAPP(X0,X1))
% 3.82/4.03 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
% 3.82/4.03 | X2 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5448_2) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16291,plain,
% 3.82/4.03 ( hBOOL(hAPP(X0,X1))
% 3.82/4.03 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
% 3.82/4.03 | X2 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3312]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16292,plain,
% 3.82/4.03 ( ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.82/4.03 | hBOOL(hAPP(X0,X3))
% 3.82/4.03 | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16291]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3282,plain,
% 3.82/4.03 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.03 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | ~ class_Rings_Oidom(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5463_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16231,plain,
% 3.82/4.03 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.03 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | ~ class_Rings_Oidom(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3282]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16232,plain,
% 3.82/4.03 ( ~ class_Rings_Oidom(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.03 | c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.82/4.03 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16231]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3278,plain,
% 3.82/4.03 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.03 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | ~ class_Rings_Oidom(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5464_3) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16223,plain,
% 3.82/4.03 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.03 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | ~ class_Rings_Oidom(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3278]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16224,plain,
% 3.82/4.03 ( ~ class_Rings_Oidom(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.03 | c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16223]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3275,plain,
% 3.82/4.03 ( X0 = X1
% 3.82/4.03 | ~ class_Groups_Ozero(X2)
% 3.82/4.03 | hAPP(c_Polynomial_Ocoeff(X2,X0),sk1_esk5_3(X1,X0,X2)) != hAPP(c_Polynomial_Ocoeff(X2,X1),sk1_esk5_3(X1,X0,X2)) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5465_2) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16217,plain,
% 3.82/4.03 ( X0 = X1
% 3.82/4.03 | ~ class_Groups_Ozero(X2)
% 3.82/4.03 | hAPP(c_Polynomial_Ocoeff(X2,X0),sk1_esk5_3(X1,X0,X2)) != hAPP(c_Polynomial_Ocoeff(X2,X1),sk1_esk5_3(X1,X0,X2)) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3275]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16218,plain,
% 3.82/4.03 ( ~ class_Groups_Ozero(X0)
% 3.82/4.03 | hAPP(c_Polynomial_Ocoeff(X0,X1),sk1_esk5_3(X2,X1,X0)) != hAPP(c_Polynomial_Ocoeff(X0,X2),sk1_esk5_3(X2,X1,X0))
% 3.82/4.03 | X1 = X2 ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16217]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3262,plain,
% 3.82/4.03 ( c_Divides_Odiv__class_Odiv(X0,X1,X2) != c_Divides_Odiv__class_Odiv(X0,X3,X4)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X4,X3)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)
% 3.82/4.03 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5470_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16191,plain,
% 3.82/4.03 ( c_Divides_Odiv__class_Odiv(X0,X1,X2) != c_Divides_Odiv__class_Odiv(X0,X3,X4)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X4,X3)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)
% 3.82/4.03 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3262]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16192,plain,
% 3.82/4.03 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X4)
% 3.82/4.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)
% 3.82/4.03 | c_Divides_Odiv__class_Odiv(X0,X4,X3) != c_Divides_Odiv__class_Odiv(X0,X2,X1)
% 3.82/4.03 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16191]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3258,plain,
% 3.82/4.03 ( c_Divides_Odiv__class_Odiv(X0,X1,X2) != c_Divides_Odiv__class_Odiv(X0,X3,X4)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X4,X3)
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5470_4) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16183,plain,
% 3.82/4.03 ( c_Divides_Odiv__class_Odiv(X0,X1,X2) != c_Divides_Odiv__class_Odiv(X0,X3,X4)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X4,X3)
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3258]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16184,plain,
% 3.82/4.03 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X4)
% 3.82/4.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)
% 3.82/4.03 | c_Divides_Odiv__class_Odiv(X0,X4,X3) != c_Divides_Odiv__class_Odiv(X0,X2,X1)
% 3.82/4.03 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16183]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3256,plain,
% 3.82/4.03 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X4)
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X1)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X1,X0,X3)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X1,X2,X4)
% 3.82/4.03 | c_Divides_Odiv__class_Odiv(X1,X3,X0) != c_Divides_Odiv__class_Odiv(X1,X4,X2) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5470_6) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16179,plain,
% 3.82/4.03 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X4)
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X1)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X1,X0,X3)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X1,X2,X4)
% 3.82/4.03 | c_Divides_Odiv__class_Odiv(X1,X3,X0) != c_Divides_Odiv__class_Odiv(X1,X4,X2) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3256]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16180,plain,
% 3.82/4.03 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X4)
% 3.82/4.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)
% 3.82/4.03 | c_Divides_Odiv__class_Odiv(X0,X2,X1) != c_Divides_Odiv__class_Odiv(X0,X4,X3)
% 3.82/4.03 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16179]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3252,plain,
% 3.82/4.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X4)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1)
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | c_Divides_Odiv__class_Odiv(X0,X1,X3) = c_Divides_Odiv__class_Odiv(X0,X4,X2)
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5473_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16171,plain,
% 3.82/4.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X4)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1)
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | c_Divides_Odiv__class_Odiv(X0,X1,X3) = c_Divides_Odiv__class_Odiv(X0,X4,X2)
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3252]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16172,plain,
% 3.82/4.03 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X4)
% 3.82/4.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)
% 3.82/4.03 | c_Divides_Odiv__class_Odiv(X0,X4,X3) = c_Divides_Odiv__class_Odiv(X0,X2,X1)
% 3.82/4.03 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16171]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3248,plain,
% 3.82/4.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X4)
% 3.82/4.03 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | c_Divides_Odiv__class_Odiv(X0,X1,X3) = c_Divides_Odiv__class_Odiv(X0,X4,X2)
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5473_4) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16163,plain,
% 3.82/4.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X4)
% 3.82/4.03 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | c_Divides_Odiv__class_Odiv(X0,X1,X3) = c_Divides_Odiv__class_Odiv(X0,X4,X2)
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_3248]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16164,plain,
% 3.82/4.03 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X4)
% 3.82/4.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)
% 3.82/4.03 | c_Divides_Odiv__class_Odiv(X0,X4,X3) = c_Divides_Odiv__class_Odiv(X0,X2,X1)
% 3.82/4.03 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.03 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_16163]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_3246,plain,
% 3.82/4.03 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.03 | c_Divides_Odiv__class_Odiv(X1,X3,X0) = c_Divides_Odiv__class_Odiv(X1,X4,X2)
% 3.82/4.03 | ~ class_Divides_Osemiring__div(X1)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X1,X0,X3)
% 3.82/4.03 | ~ c_Rings_Odvd__class_Odvd(X1,X2,X4)
% 3.82/4.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X4) ),
% 3.82/4.03 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5473_6) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_16159,plain,
% 3.82/4.03 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.03 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.04 | c_Divides_Odiv__class_Odiv(X1,X3,X0) = c_Divides_Odiv__class_Odiv(X1,X4,X2)
% 3.82/4.04 | ~ class_Divides_Osemiring__div(X1)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(X1,X0,X3)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(X1,X2,X4)
% 3.82/4.04 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X4) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3246]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16160,plain,
% 3.82/4.04 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X4)
% 3.82/4.04 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)
% 3.82/4.04 | c_Divides_Odiv__class_Odiv(X0,X2,X1) = c_Divides_Odiv__class_Odiv(X0,X4,X3)
% 3.82/4.04 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.04 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_16159]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3234,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5477_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16135,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3234]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16136,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_16135]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3226,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.04 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5479_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16119,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.04 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3226]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16120,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.82/4.04 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_16119]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3202,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5489_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16071,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3202]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16072,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_16071]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3198,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5490_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16063,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3198]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16064,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_16063]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3194,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.04 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5491_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16055,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.04 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3194]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16056,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_16055]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3190,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.04 | ~ class_Rings_Oordered__semiring(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5492_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16047,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.04 | ~ class_Rings_Oordered__semiring(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3190]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16048,plain,
% 3.82/4.04 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_16047]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3186,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 3.82/4.04 | ~ class_Rings_Oordered__semiring(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5493_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16039,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 3.82/4.04 | ~ class_Rings_Oordered__semiring(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3186]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16040,plain,
% 3.82/4.04 ( ~ class_Rings_Oordered__semiring(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_16039]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3182,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 3.82/4.04 | ~ class_Rings_Oordered__comm__semiring(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5494_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16031,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 3.82/4.04 | ~ class_Rings_Oordered__comm__semiring(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3182]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16032,plain,
% 3.82/4.04 ( ~ class_Rings_Oordered__comm__semiring(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_16031]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3170,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5497_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16007,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3170]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_16008,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_16007]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3154,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5501_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15975,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3154]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15976,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15975]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3146,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.04 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5503_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15959,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.04 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3146]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15960,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15959]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3142,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.82/4.04 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5504_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15951,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.82/4.04 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3142]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15952,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15951]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3138,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.82/4.04 | ~ class_Rings_Olinordered__comm__semiring__strict(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5505_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15943,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.82/4.04 | ~ class_Rings_Olinordered__comm__semiring__strict(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3138]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15944,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__comm__semiring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15943]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3126,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.04 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5508_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15919,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.04 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3126]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15920,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X4,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15919]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3120,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5510_1) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15907,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3120]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15908,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15907]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3116,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5511_1) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15899,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3116]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15900,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15899]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3110,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ class_Rings_Olinordered__semidom(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5512_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15887,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ class_Rings_Olinordered__semidom(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3110]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15888,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15887]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3095,plain,
% 3.82/4.04 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk23_3(X2,X1,X0),X2)
% 3.82/4.04 | ~ hBOOL(hAPP(X0,X1)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5516_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15857,plain,
% 3.82/4.04 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk23_3(X2,X1,X0),X2)
% 3.82/4.04 | ~ hBOOL(hAPP(X0,X1)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3095]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15858,plain,
% 3.82/4.04 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.04 | ~ hBOOL(hAPP(X0,X1))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk23_3(X2,X1,X0),X2) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15857]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3093,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5517_1) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15853,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3093]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15854,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15853]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3090,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5517_4) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15847,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3090]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15848,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15847]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3089,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5518_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15845,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3089]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15846,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15845]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3085,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5518_4) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15837,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3085]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15838,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15837]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3073,plain,
% 3.82/4.04 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),X2))
% 3.82/4.04 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.04 | c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != X2
% 3.82/4.04 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),sk1_esk10_3(X2,X1,X0)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5523_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15813,plain,
% 3.82/4.04 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),X2))
% 3.82/4.04 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.04 | c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != X2
% 3.82/4.04 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),sk1_esk10_3(X2,X1,X0)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3073]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15814,plain,
% 3.82/4.04 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),X2))
% 3.82/4.04 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),sk1_esk10_3(X2,X1,X0)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 3.82/4.04 | c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != X2
% 3.82/4.04 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15813]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3071,plain,
% 3.82/4.04 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.04 | c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X4) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5524_1) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15809,plain,
% 3.82/4.04 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.04 | c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X4) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3071]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15810,plain,
% 3.82/4.04 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.04 | c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X4) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15809]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3049,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5532_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15765,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3049]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15766,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X0),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,X1))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15765]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3047,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5533_1) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15761,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3047]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15762,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15761]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3044,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5534_1) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15755,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3044]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15756,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15755]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3036,plain,
% 3.82/4.04 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X1)
% 3.82/4.04 | 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) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5537_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15739,plain,
% 3.82/4.04 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X1)
% 3.82/4.04 | 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) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3036]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15740,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | 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)
% 3.82/4.04 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15739]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_3033,plain,
% 3.82/4.04 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X1)
% 3.82/4.04 | 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) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5538_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15733,plain,
% 3.82/4.04 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X1)
% 3.82/4.04 | 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) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_3033]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15734,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | 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)
% 3.82/4.04 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15733]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2993,plain,
% 3.82/4.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.82/4.04 | c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5554_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15653,plain,
% 3.82/4.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.82/4.04 | c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2993]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15654,plain,
% 3.82/4.04 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X1)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.82/4.04 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15653]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2990,plain,
% 3.82/4.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.82/4.04 | c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))
% 3.82/4.04 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5555_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15647,plain,
% 3.82/4.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.82/4.04 | c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))
% 3.82/4.04 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2990]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15648,plain,
% 3.82/4.04 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))
% 3.82/4.04 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.82/4.04 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15647]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2971,plain,
% 3.82/4.04 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = c_Polynomial_Osmult(X0,c_Rings_Oinverse__class_Oinverse(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1))),X1)
% 3.82/4.04 | ~ class_Fields_Ofield(X0)
% 3.82/4.04 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5562_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15609,plain,
% 3.82/4.04 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = c_Polynomial_Osmult(X0,c_Rings_Oinverse__class_Oinverse(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1))),X1)
% 3.82/4.04 | ~ class_Fields_Ofield(X0)
% 3.82/4.04 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2971]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15610,plain,
% 3.82/4.04 ( ~ class_Fields_Ofield(X0)
% 3.82/4.04 | c_Polynomial_Opoly__gcd(X0,X1,X2) = c_Polynomial_Osmult(X0,c_Rings_Oinverse__class_Oinverse(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1))),X1)
% 3.82/4.04 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15609]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2958,plain,
% 3.82/4.04 ( X0 = c_Polynomial_Osynthetic__div(X1,X2,X3)
% 3.82/4.04 | ~ class_Rings_Ocomm__semiring__0(X1)
% 3.82/4.04 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Osmult(X1,X3,X0)) != c_Polynomial_OpCons(X1,X4,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5568_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15583,plain,
% 3.82/4.04 ( X0 = c_Polynomial_Osynthetic__div(X1,X2,X3)
% 3.82/4.04 | ~ class_Rings_Ocomm__semiring__0(X1)
% 3.82/4.04 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Osmult(X1,X3,X0)) != c_Polynomial_OpCons(X1,X4,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2958]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15584,plain,
% 3.82/4.04 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.82/4.04 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X2,X3)) != c_Polynomial_OpCons(X0,X4,X3)
% 3.82/4.04 | X3 = c_Polynomial_Osynthetic__div(X0,X1,X2) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15583]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2955,plain,
% 3.82/4.04 ( hBOOL(hAPP(X0,X1))
% 3.82/4.04 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.04 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5569_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15577,plain,
% 3.82/4.04 ( hBOOL(hAPP(X0,X1))
% 3.82/4.04 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.04 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2955]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15578,plain,
% 3.82/4.04 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.04 | hBOOL(hAPP(X0,X1))
% 3.82/4.04 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15577]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2950,plain,
% 3.82/4.04 ( ~ class_Rings_Oidom(X0)
% 3.82/4.04 | hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != hAPP(c_Polynomial_Ocoeff(X0,X2),c_Polynomial_Odegree(X0,X2))
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.04 | X1 = X2
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X2,X1) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5571_1) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15567,plain,
% 3.82/4.04 ( ~ class_Rings_Oidom(X0)
% 3.82/4.04 | hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != hAPP(c_Polynomial_Ocoeff(X0,X2),c_Polynomial_Odegree(X0,X2))
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.04 | X1 = X2
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X2,X1) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2950]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15568,plain,
% 3.82/4.04 ( ~ class_Rings_Oidom(X0)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X2,X1)
% 3.82/4.04 | hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != hAPP(c_Polynomial_Ocoeff(X0,X2),c_Polynomial_Odegree(X0,X2))
% 3.82/4.04 | X1 = X2 ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15567]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2947,plain,
% 3.82/4.04 ( X0 = X1
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X1,X0)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X0,X1)
% 3.82/4.04 | hAPP(c_Polynomial_Ocoeff(X2,X0),c_Polynomial_Odegree(X2,X0)) != hAPP(c_Polynomial_Ocoeff(X2,X1),c_Polynomial_Odegree(X2,X1))
% 3.82/4.04 | ~ class_Rings_Oidom(X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5571_4) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15561,plain,
% 3.82/4.04 ( X0 = X1
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X1,X0)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X0,X1)
% 3.82/4.04 | hAPP(c_Polynomial_Ocoeff(X2,X0),c_Polynomial_Odegree(X2,X0)) != hAPP(c_Polynomial_Ocoeff(X2,X1),c_Polynomial_Odegree(X2,X1))
% 3.82/4.04 | ~ class_Rings_Oidom(X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2947]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15562,plain,
% 3.82/4.04 ( ~ class_Rings_Oidom(X0)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X2,X1)
% 3.82/4.04 | hAPP(c_Polynomial_Ocoeff(X0,X2),c_Polynomial_Odegree(X0,X2)) != hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1))
% 3.82/4.04 | X2 = X1 ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15561]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2936,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5576_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15539,plain,
% 3.82/4.04 ( 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2936]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15540,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.04 | 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15539]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2901,plain,
% 3.82/4.04 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.04 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk23_3(X2,X1,X0),X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5588_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15469,plain,
% 3.82/4.04 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.04 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk23_3(X2,X1,X0),X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2901]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15470,plain,
% 3.82/4.04 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk23_3(X2,X1,X0),X2)
% 3.82/4.04 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15469]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2896,plain,
% 3.82/4.04 ( X0 = hAPP(c_Polynomial_Opoly(X1,X2),X3)
% 3.82/4.04 | ~ class_Rings_Ocomm__semiring__0(X1)
% 3.82/4.04 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Osmult(X1,X3,X4)) != c_Polynomial_OpCons(X1,X0,X4) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5590_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15459,plain,
% 3.82/4.04 ( X0 = hAPP(c_Polynomial_Opoly(X1,X2),X3)
% 3.82/4.04 | ~ class_Rings_Ocomm__semiring__0(X1)
% 3.82/4.04 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Osmult(X1,X3,X4)) != c_Polynomial_OpCons(X1,X0,X4) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2896]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15460,plain,
% 3.82/4.04 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.82/4.04 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X2,X3)) != c_Polynomial_OpCons(X0,X4,X3)
% 3.82/4.04 | X4 = hAPP(c_Polynomial_Opoly(X0,X1),X2) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15459]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2893,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.04 | ~ 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)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5591_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15453,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.04 | ~ 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)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2893]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15454,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.04 | ~ 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))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15453]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2890,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.82/4.04 | ~ 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)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5592_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15447,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.82/4.04 | ~ 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)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2890]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15448,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.04 | ~ 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))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15447]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2876,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5596_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15419,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2876]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15420,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15419]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2875,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5597_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15417,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2875]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15418,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15417]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2872,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5597_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15411,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2872]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15412,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15411]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2871,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5598_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15409,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2871]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15410,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15409]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2864,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5599_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15395,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2864]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15396,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15395]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2844,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5604_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15355,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2844]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15356,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15355]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2843,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5605_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15353,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2843]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15354,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15353]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2840,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5605_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15347,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2840]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15348,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15347]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2839,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5606_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15345,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2839]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15346,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15345]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2832,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5607_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15331,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2832]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15332,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15331]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2801,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5617_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15269,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2801]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15270,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15269]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2800,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5617_4) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15267,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2800]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15268,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15267]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2791,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5619_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15249,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2791]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15250,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15249]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2790,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5619_4) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15247,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2790]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15248,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15247]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2786,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5620_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15239,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2786]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15240,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15239]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2782,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5621_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15231,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2782]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15232,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15231]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2778,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5622_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15223,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2778]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15224,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15223]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2774,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5623_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15215,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2774]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15216,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15215]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2770,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5624_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15207,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2770]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15208,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15207]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2769,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5625_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15205,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2769]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15206,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15205]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2766,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5625_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15199,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2766]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15200,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15199]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2765,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5626_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15197,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2765]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15198,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15197]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2762,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5626_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15191,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2762]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15192,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15191]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2758,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5627_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15183,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2758]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15184,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15183]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2730,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5642_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15127,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2730]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15128,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X2,X1))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15127]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2726,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5643_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15119,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2726]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15120,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15119]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2722,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5644_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15111,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2722]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15112,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15111]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2719,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5645_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15105,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2719]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15106,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15105]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2718,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5645_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15103,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2718]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15104,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15103]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2715,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5646_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15097,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2715]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15098,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15097]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2714,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5646_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15095,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2714]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15096,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15095]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2712,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5647_1) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15091,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2712]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15092,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15091]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2708,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5648_1) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15083,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2708]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15084,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15083]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2704,plain,
% 3.82/4.04 ( ~ class_Fields_Olinordered__field(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5649_1) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15075,plain,
% 3.82/4.04 ( ~ class_Fields_Olinordered__field(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2704]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15076,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15075]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2698,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5650_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15063,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2698]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15064,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15063]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2694,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5651_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15055,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2694]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15056,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15055]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2692,plain,
% 3.82/4.04 ( ~ class_Fields_Olinordered__field(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5652_1) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15051,plain,
% 3.82/4.04 ( ~ class_Fields_Olinordered__field(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2692]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15052,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15051]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2686,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5653_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15039,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2686]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15040,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15039]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2682,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5654_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15031,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2682]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15032,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15031]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2679,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5655_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15025,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2679]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15026,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15025]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2678,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5655_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15023,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2678]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15024,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15023]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2675,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5656_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15017,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2675]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15018,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15017]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2674,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5656_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15015,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2674]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15016,plain,
% 3.82/4.04 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15015]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2672,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5657_1) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15011,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2672]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15012,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15011]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2668,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5658_1) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15003,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2668]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_15004,plain,
% 3.82/4.04 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_15003]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2659,plain,
% 3.82/4.04 ( ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.04 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Opoly__gcd(X0,X2,X3))
% 3.82/4.04 | ~ class_Fields_Ofield(X0)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5660_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_14985,plain,
% 3.82/4.04 ( ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.04 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Opoly__gcd(X0,X2,X3))
% 3.82/4.04 | ~ class_Fields_Ofield(X0)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2659]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_14986,plain,
% 3.82/4.04 ( ~ class_Fields_Ofield(X0)
% 3.82/4.04 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Opoly__gcd(X0,X2,X3))
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.04 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_14985]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_2650,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5666_2) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_14967,plain,
% 3.82/4.04 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.04 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_2650]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_14968,plain,
% 3.82/4.04 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.04 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14967]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2649,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5666_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14965,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2649]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14966,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14965]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2646,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5667_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14959,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2646]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14960,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14959]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2645,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5667_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14957,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2645]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14958,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14957]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2641,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5668_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14949,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2641]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14950,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14949]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2637,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5669_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14941,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2637]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14942,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14941]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2635,plain,
% 3.82/4.05 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5670_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14937,plain,
% 3.82/4.05 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2635]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14938,plain,
% 3.82/4.05 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14937]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2614,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ class_Rings_Oordered__ring(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5675_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14895,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ class_Rings_Oordered__ring(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2614]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14896,plain,
% 3.82/4.05 ( ~ class_Rings_Oordered__ring(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14895]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2613,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ class_Rings_Oordered__ring(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5675_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14893,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ class_Rings_Oordered__ring(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2613]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14894,plain,
% 3.82/4.05 ( ~ class_Rings_Oordered__ring(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14893]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2610,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ class_Rings_Oordered__ring(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5676_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14887,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ class_Rings_Oordered__ring(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2610]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14888,plain,
% 3.82/4.05 ( ~ class_Rings_Oordered__ring(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14887]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2599,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5679_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14865,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2599]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14866,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14865]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2595,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5680_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14857,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2595]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14858,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14857]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2579,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5684_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14825,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2579]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14826,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14825]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2568,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.82/4.05 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5687_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14803,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.82/4.05 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2568]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14804,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14803]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2565,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.82/4.05 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5688_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14797,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.82/4.05 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2565]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14798,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14797]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2562,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.82/4.05 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5689_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14791,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.82/4.05 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2562]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14792,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14791]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2559,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.82/4.05 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5690_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14785,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.82/4.05 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2559]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14786,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14785]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2551,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 3.82/4.05 | 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5693_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14769,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 3.82/4.05 | 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2551]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14770,plain,
% 3.82/4.05 ( 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14769]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2550,plain,
% 3.82/4.05 ( 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5693_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14767,plain,
% 3.82/4.05 ( 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2550]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14768,plain,
% 3.82/4.05 ( 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14767]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2538,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),X2))
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.05 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sk1_esk10_3(X2,X1,X0)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 3.82/4.05 | c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != X2 ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5697_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14743,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),X2))
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.05 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sk1_esk10_3(X2,X1,X0)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 3.82/4.05 | c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != X2 ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2538]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14744,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),X2))
% 3.82/4.05 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sk1_esk10_3(X2,X1,X0)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 3.82/4.05 | c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != X2
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14743]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2534,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.82/4.05 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5698_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14735,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.82/4.05 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2534]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14736,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14735]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2526,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.05 | ~ class_Rings_Oidom(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5701_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14719,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.05 | ~ class_Rings_Oidom(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2526]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14720,plain,
% 3.82/4.05 ( ~ class_Rings_Oidom(X0)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14719]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2523,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.05 | ~ class_Rings_Oidom(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5702_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14713,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.05 | ~ class_Rings_Oidom(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2523]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14714,plain,
% 3.82/4.05 ( ~ class_Rings_Oidom(X0)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14713]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2519,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5703_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14705,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2519]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14706,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X3,X2)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14705]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2505,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5707_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14677,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2505]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14678,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14677]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2504,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5707_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14675,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2504]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14676,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14675]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2502,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5708_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14671,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2502]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14672,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14671]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2501,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5708_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14669,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2501]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14670,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14669]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2495,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.05 | X0 = X1
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5711_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14657,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.05 | X0 = X1
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2495]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14658,plain,
% 3.82/4.05 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.05 | X0 = X1 ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14657]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2493,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.05 | X0 = X1
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5711_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14653,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.05 | X0 = X1
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2493]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14654,plain,
% 3.82/4.05 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.05 | X1 = X0 ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14653]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2492,plain,
% 3.82/4.05 ( X0 = X1
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5711_4) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14651,plain,
% 3.82/4.05 ( X0 = X1
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2492]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14652,plain,
% 3.82/4.05 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.05 | X1 = X0 ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14651]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2474,plain,
% 3.82/4.05 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5718_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14615,plain,
% 3.82/4.05 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2474]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14616,plain,
% 3.82/4.05 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14615]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2470,plain,
% 3.82/4.05 ( ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ominus__class_Ominus(X0,X2,X3))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5719_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14607,plain,
% 3.82/4.05 ( ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ominus__class_Ominus(X0,X2,X3))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2470]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14608,plain,
% 3.82/4.05 ( ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ominus__class_Ominus(X0,X2,X3))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14607]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2466,plain,
% 3.82/4.05 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5720_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14599,plain,
% 3.82/4.05 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2466]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14600,plain,
% 3.82/4.05 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14599]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2453,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.05 | 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5724_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14573,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.05 | 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2453]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14574,plain,
% 3.82/4.05 ( 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14573]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2450,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5725_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14567,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2450]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14568,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14567]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2440,plain,
% 3.82/4.05 ( 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5728_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14547,plain,
% 3.82/4.05 ( 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2440]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14548,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.05 | 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14547]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2428,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.05 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | ~ class_Fields_Ofield(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X3,X1),X2) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5731_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14523,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.05 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | ~ class_Fields_Ofield(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X3,X1),X2) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2428]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14524,plain,
% 3.82/4.05 ( ~ class_Fields_Ofield(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X2,X3)
% 3.82/4.05 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14523]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2425,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5732_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14517,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2425]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14518,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14517]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2419,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5734_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14505,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2419]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14506,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14505]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2416,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5735_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14499,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2416]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14500,plain,
% 3.82/4.05 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14499]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2413,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5736_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14493,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2413]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14494,plain,
% 3.82/4.05 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14493]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2410,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5737_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14487,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2410]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14488,plain,
% 3.82/4.05 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14487]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2407,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5738_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14481,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2407]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14482,plain,
% 3.82/4.05 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14481]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2404,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5739_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14475,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2404]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14476,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14475]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2401,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.05 | ~ class_Fields_Ofield(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Opoly__gcd(X0,X2,X3)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5740_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14469,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.05 | ~ class_Fields_Ofield(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Opoly__gcd(X0,X2,X3)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2401]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14470,plain,
% 3.82/4.05 ( ~ class_Fields_Ofield(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Opoly__gcd(X0,X2,X3))
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14469]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2398,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.05 | ~ class_Fields_Ofield(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Opoly__gcd(X0,X3,X2)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5741_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14463,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.05 | ~ class_Fields_Ofield(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Opoly__gcd(X0,X3,X2)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2398]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14464,plain,
% 3.82/4.05 ( ~ class_Fields_Ofield(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Opoly__gcd(X0,X2,X3))
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14463]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2356,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5758_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14379,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2356]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14380,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14379]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2344,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.05 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5761_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14355,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.05 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2344]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14356,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.82/4.05 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14355]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2340,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.05 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5762_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14347,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.05 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2340]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14348,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.82/4.05 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14347]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2337,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5763_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14341,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2337]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14342,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14341]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2331,plain,
% 3.82/4.05 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5767_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14329,plain,
% 3.82/4.05 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2331]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14330,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14329]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2328,plain,
% 3.82/4.05 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5768_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14323,plain,
% 3.82/4.05 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2328]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14324,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14323]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2325,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.05 | 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5769_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14317,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.05 | 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2325]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14318,plain,
% 3.82/4.05 ( 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))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14317]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2313,plain,
% 3.82/4.05 ( c_Polynomial_Opos__poly(X0,X1)
% 3.82/4.05 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1))) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5774_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14293,plain,
% 3.82/4.05 ( c_Polynomial_Opos__poly(X0,X1)
% 3.82/4.05 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1))) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2313]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14294,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)))
% 3.82/4.05 | c_Polynomial_Opos__poly(X0,X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14293]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2310,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),X0))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5775_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14287,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),X0))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2310]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14288,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),X1))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2)
% 3.82/4.05 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14287]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2307,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(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))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5776_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14281,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(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))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2307]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14282,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(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))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)
% 3.82/4.05 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14281]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2304,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X0))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5777_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14275,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X0))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2304]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14276,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(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),X2),X1))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.82/4.05 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14275]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2301,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5778_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14269,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2301]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14270,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14269]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2300,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5778_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14267,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2300]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14268,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14267]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2297,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5779_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14261,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2297]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14262,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14261]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2296,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5779_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14259,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2296]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14260,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14259]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2287,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5782_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14241,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2287]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14242,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14241]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2286,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5782_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14239,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2286]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14240,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14239]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2283,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5783_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14233,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2283]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14234,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14233]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2282,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5783_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14231,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2282]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14232,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 3.82/4.05 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14231]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2239,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5807_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14145,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2239]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14146,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14145]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2233,plain,
% 3.82/4.05 ( ~ class_Rings_Oidom(X0)
% 3.82/4.05 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.05 | 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))
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5810_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14133,plain,
% 3.82/4.05 ( ~ class_Rings_Oidom(X0)
% 3.82/4.05 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.05 | 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))
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2233]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14134,plain,
% 3.82/4.05 ( ~ class_Rings_Oidom(X0)
% 3.82/4.05 | 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))
% 3.82/4.05 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14133]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2228,plain,
% 3.82/4.05 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5812_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14123,plain,
% 3.82/4.05 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2228]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14124,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14123]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2226,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5812_4) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14119,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2226]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14120,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14119]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2223,plain,
% 3.82/4.05 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5813_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14113,plain,
% 3.82/4.05 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2223]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14114,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14113]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2221,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5813_4) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14109,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2221]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14110,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14109]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2213,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.82/4.05 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5815_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14093,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.82/4.05 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2213]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14094,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.05 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14093]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2206,plain,
% 3.82/4.05 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) != c_Rings_Oinverse__class_Odivide(X0,X3,X4)
% 3.82/4.05 | ~ class_Fields_Ofield(X0)
% 3.82/4.05 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)
% 3.82/4.05 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5818_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14079,plain,
% 3.82/4.05 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) != c_Rings_Oinverse__class_Odivide(X0,X3,X4)
% 3.82/4.05 | ~ class_Fields_Ofield(X0)
% 3.82/4.05 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)
% 3.82/4.05 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2206]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14080,plain,
% 3.82/4.05 ( ~ class_Fields_Ofield(X0)
% 3.82/4.05 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 3.82/4.05 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) != c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14079]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2202,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X0)
% 3.82/4.05 | ~ class_Fields_Ofield(X1)
% 3.82/4.05 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) != c_Rings_Oinverse__class_Odivide(X1,X4,X2) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5818_4) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14071,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X0)
% 3.82/4.05 | ~ class_Fields_Ofield(X1)
% 3.82/4.05 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) != c_Rings_Oinverse__class_Odivide(X1,X4,X2) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2202]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14072,plain,
% 3.82/4.05 ( ~ class_Fields_Ofield(X0)
% 3.82/4.05 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 3.82/4.05 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) != c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 3.82/4.05 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14071]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2198,plain,
% 3.82/4.05 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 3.82/4.05 | ~ class_Fields_Ofield(X0)
% 3.82/4.05 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) = c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5820_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14063,plain,
% 3.82/4.05 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 3.82/4.05 | ~ class_Fields_Ofield(X0)
% 3.82/4.05 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) = c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2198]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14064,plain,
% 3.82/4.05 ( ~ class_Fields_Ofield(X0)
% 3.82/4.05 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 3.82/4.05 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) = c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14063]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2194,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) = c_Rings_Oinverse__class_Odivide(X1,X4,X2)
% 3.82/4.05 | ~ class_Fields_Ofield(X1)
% 3.82/4.05 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5820_4) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14055,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) = c_Rings_Oinverse__class_Odivide(X1,X4,X2)
% 3.82/4.05 | ~ class_Fields_Ofield(X1)
% 3.82/4.05 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2194]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14056,plain,
% 3.82/4.05 ( ~ class_Fields_Ofield(X0)
% 3.82/4.05 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 3.82/4.05 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) = c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 3.82/4.05 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14055]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2190,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.05 | ~ class_Fields_Ofield(X1)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X3),X0)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5821_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14047,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.05 | ~ class_Fields_Ofield(X1)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X3),X0)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2190]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14048,plain,
% 3.82/4.05 ( ~ class_Fields_Ofield(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3)
% 3.82/4.05 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14047]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2178,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3)
% 3.82/4.05 | ~ class_Fields_Ofield(X0)
% 3.82/4.05 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X2,X3) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5825_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14023,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3)
% 3.82/4.05 | ~ class_Fields_Ofield(X0)
% 3.82/4.05 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X2,X3) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2178]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14024,plain,
% 3.82/4.05 ( ~ class_Fields_Ofield(X0)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X2,X3)
% 3.82/4.05 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14023]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2171,plain,
% 3.82/4.05 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | 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)
% 3.82/4.05 | ~ class_Rings_Olinordered__ring__strict(X1)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5828_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14009,plain,
% 3.82/4.05 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | 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)
% 3.82/4.05 | ~ class_Rings_Olinordered__ring__strict(X1)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2171]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14010,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | 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)
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14009]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2170,plain,
% 3.82/4.05 ( 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)
% 3.82/4.05 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5828_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14007,plain,
% 3.82/4.05 ( 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)
% 3.82/4.05 | ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2170]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_14008,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.82/4.05 | 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)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_14007]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2162,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.05 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5831_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13991,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.05 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2162]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13992,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.82/4.05 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13991]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2158,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5832_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13983,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2158]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13984,plain,
% 3.82/4.05 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.82/4.05 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13983]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2154,plain,
% 3.82/4.05 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 3.82/4.05 | X0 = X2
% 3.82/4.05 | ~ class_Rings_Oidom(X1)
% 3.82/4.05 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5833_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13975,plain,
% 3.82/4.05 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 3.82/4.05 | X0 = X2
% 3.82/4.05 | ~ class_Rings_Oidom(X1)
% 3.82/4.05 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2154]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13976,plain,
% 3.82/4.05 ( ~ class_Rings_Oidom(X0)
% 3.82/4.05 | 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)))
% 3.82/4.05 | X1 = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 3.82/4.05 | X1 = X2 ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13975]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2145,plain,
% 3.82/4.05 ( 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)
% 3.82/4.05 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5836_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13957,plain,
% 3.82/4.05 ( 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)
% 3.82/4.05 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2145]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13958,plain,
% 3.82/4.05 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.05 | 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)
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13957]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2139,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.05 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.05 | ~ c_Polynomial_Opos__poly(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X2,X1)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5838_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13945,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.05 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.05 | ~ c_Polynomial_Opos__poly(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X2,X1)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2139]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13946,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.05 | ~ c_Polynomial_Opos__poly(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X2,X1)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13945]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2133,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Osmult(X1,X0,X3))
% 3.82/4.05 | ~ class_Fields_Ofield(X1)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5840_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13933,plain,
% 3.82/4.05 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Osmult(X1,X0,X3))
% 3.82/4.05 | ~ class_Fields_Ofield(X1)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2133]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13934,plain,
% 3.82/4.05 ( ~ class_Fields_Ofield(X0)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X2,X3))
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3)
% 3.82/4.05 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13933]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2125,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3)
% 3.82/4.05 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | ~ class_Fields_Ofield(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X2,X3) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5842_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13917,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3)
% 3.82/4.05 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | ~ class_Fields_Ofield(X0)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X2,X3) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2125]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13918,plain,
% 3.82/4.05 ( ~ class_Fields_Ofield(X0)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3)
% 3.82/4.05 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X2,X3)
% 3.82/4.05 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13917]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2120,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.05 | ~ class_Rings_Oidom(X0)
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5844_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13907,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.05 | ~ class_Rings_Oidom(X0)
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2120]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13908,plain,
% 3.82/4.05 ( ~ class_Rings_Oidom(X0)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13907]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2117,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.05 | ~ class_Rings_Oidom(X0)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5845_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13901,plain,
% 3.82/4.05 ( c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.05 | ~ class_Rings_Oidom(X0)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2117]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13902,plain,
% 3.82/4.05 ( ~ class_Rings_Oidom(X0)
% 3.82/4.05 | c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13901]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2090,plain,
% 3.82/4.05 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5852_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13847,plain,
% 3.82/4.05 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2090]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13848,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X0,X2,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13847]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2088,plain,
% 3.82/4.05 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5852_4) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13843,plain,
% 3.82/4.05 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2088]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13844,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13843]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2087,plain,
% 3.82/4.05 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5852_5) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13841,plain,
% 3.82/4.05 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2087]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13842,plain,
% 3.82/4.05 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.05 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13841]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2083,plain,
% 3.82/4.05 ( c_Polynomial_Opos__poly(X0,X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.05 | ~ c_Polynomial_Opos__poly(X0,c_Polynomial_OpCons(X0,X2,X1)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5853_3) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13833,plain,
% 3.82/4.05 ( c_Polynomial_Opos__poly(X0,X1)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.82/4.05 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.05 | ~ c_Polynomial_Opos__poly(X0,c_Polynomial_OpCons(X0,X2,X1)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2083]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13834,plain,
% 3.82/4.05 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.05 | ~ c_Polynomial_Opos__poly(X0,c_Polynomial_OpCons(X0,X1,X2))
% 3.82/4.05 | c_Polynomial_Opos__poly(X0,X2) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13833]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2080,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5854_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13827,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2080]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13828,plain,
% 3.82/4.05 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13827]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2077,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5855_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13821,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2077]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13822,plain,
% 3.82/4.05 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13821]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2074,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5856_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13815,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2074]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13816,plain,
% 3.82/4.05 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_13815]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_2071,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5857_2) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13809,plain,
% 3.82/4.05 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 3.82/4.05 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_2071]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_13810,plain,
% 3.82/4.05 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.05 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13809]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_2068,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5858_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13803,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_2068]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13804,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13803]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_2061,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ class_Rings_Olinordered__semidom(X2)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5860_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13789,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ class_Rings_Olinordered__semidom(X2)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_2061]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13790,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 3.82/4.06 | X2 = X3 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13789]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_2038,plain,
% 3.82/4.06 ( hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Omonom(X0,X1,X2)),X3) = X1
% 3.82/4.06 | ~ class_Groups_Ozero(X0)
% 3.82/4.06 | X2 != X3 ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5869_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13743,plain,
% 3.82/4.06 ( hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Omonom(X0,X1,X2)),X3) = X1
% 3.82/4.06 | ~ class_Groups_Ozero(X0)
% 3.82/4.06 | X2 != X3 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_2038]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13744,plain,
% 3.82/4.06 ( ~ class_Groups_Ozero(X0)
% 3.82/4.06 | hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Omonom(X0,X1,X2)),X3) = X1
% 3.82/4.06 | X2 != X3 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13743]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_2034,plain,
% 3.82/4.06 ( ~ class_Rings_Odivision__ring(X0)
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X2)),c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5871_1) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13735,plain,
% 3.82/4.06 ( ~ class_Rings_Odivision__ring(X0)
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X2)),c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_2034]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13736,plain,
% 3.82/4.06 ( ~ class_Rings_Odivision__ring(X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13735]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_2023,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5875_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13713,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_2023]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13714,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13713]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_2020,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5876_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13707,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_2020]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13708,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13707]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_2015,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5880_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13697,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_2015]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13698,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13697]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_2012,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5881_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13691,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_2012]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13692,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13691]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_2000,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.82/4.06 | ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5886_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13667,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.82/4.06 | ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_2000]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13668,plain,
% 3.82/4.06 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13667]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1951,plain,
% 3.82/4.06 ( c_Polynomial_Opos__poly(X0,c_Polynomial_OpCons(X0,X1,X2))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5909_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13569,plain,
% 3.82/4.06 ( c_Polynomial_Opos__poly(X0,c_Polynomial_OpCons(X0,X1,X2))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1951]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13570,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | c_Polynomial_Opos__poly(X0,c_Polynomial_OpCons(X0,X1,X2))
% 3.82/4.06 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13569]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1929,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | X2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X0)
% 3.82/4.06 | ~ class_Divides_Osemiring__div(X1)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X1,X0,X2)
% 3.82/4.06 | c_Divides_Odiv__class_Odiv(X1,X2,X0) != X3 ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5918_4) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13525,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | X2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X0)
% 3.82/4.06 | ~ class_Divides_Osemiring__div(X1)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X1,X0,X2)
% 3.82/4.06 | c_Divides_Odiv__class_Odiv(X1,X2,X0) != X3 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1929]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13526,plain,
% 3.82/4.06 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.06 | c_Divides_Odiv__class_Odiv(X0,X2,X1) != X3
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13525]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1922,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | c_Divides_Odiv__class_Odiv(X1,X2,X0) = X3
% 3.82/4.06 | ~ class_Divides_Osemiring__div(X1)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X1,X0,X2)
% 3.82/4.06 | X2 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5920_4) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13511,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | c_Divides_Odiv__class_Odiv(X1,X2,X0) = X3
% 3.82/4.06 | ~ class_Divides_Osemiring__div(X1)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X1,X0,X2)
% 3.82/4.06 | X2 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1922]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13512,plain,
% 3.82/4.06 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.06 | c_Divides_Odiv__class_Odiv(X0,X2,X1) = X3
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X2 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13511]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1913,plain,
% 3.82/4.06 ( c_Polynomial_Opos__poly(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X2))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X0),X2,X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5924_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13493,plain,
% 3.82/4.06 ( c_Polynomial_Opos__poly(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X2))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X0),X2,X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1913]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13494,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X0),X1,X2)
% 3.82/4.06 | c_Polynomial_Opos__poly(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X2,X1)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13493]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1910,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5925_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13487,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1910]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13488,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 3.82/4.06 | X1 = X2 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13487]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1877,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5939_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13421,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1877]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13422,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13421]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1874,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5940_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13415,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1874]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13416,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13415]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1872,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5941_1) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13411,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1872]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13412,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13411]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1871,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5941_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13409,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1871]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13410,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13409]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1861,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X2)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5946_1) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13389,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X2)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1861]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13390,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13389]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1855,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | X2 != X0
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5949_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13377,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | X2 != X0
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1855]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13378,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.82/4.06 | X2 != X0 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13377]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1852,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.82/4.06 | X0 != X2
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5949_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13371,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.82/4.06 | X0 != X2
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1852]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13372,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.82/4.06 | X0 != X2 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13371]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1849,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.82/4.06 | X1 != X2
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5950_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13365,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.82/4.06 | X1 != X2
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1849]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13366,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.82/4.06 | X1 != X2 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13365]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1848,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | X2 != X1
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5950_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13363,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | X2 != X1
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1848]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13364,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.82/4.06 | X2 != X1 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13363]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1844,plain,
% 3.82/4.06 ( c_Polynomial_Opos__poly(X0,X1)
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,c_Polynomial_OpCons(X0,X2,X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5951_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13355,plain,
% 3.82/4.06 ( c_Polynomial_Opos__poly(X0,X1)
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,c_Polynomial_OpCons(X0,X2,X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1844]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13356,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,c_Polynomial_OpCons(X0,X1,X2))
% 3.82/4.06 | c_Polynomial_Opos__poly(X0,X2)
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13355]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1825,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5960_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13317,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1825]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13318,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)))
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13317]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1817,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X1)
% 3.82/4.06 | c_Polynomial_Opos__poly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2))
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5964_1) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13301,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X1)
% 3.82/4.06 | c_Polynomial_Opos__poly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2))
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1817]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13302,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | c_Polynomial_Opos__poly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2))
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X1)
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13301]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1806,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5969_1) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13279,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1806]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13280,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13279]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1805,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5969_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13277,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1805]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13278,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13277]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1800,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5971_1) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13267,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1800]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13268,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13267]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1799,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5971_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13265,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1799]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13266,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13265]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1794,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5974_1) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13255,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1794]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13256,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13255]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1793,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5974_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13253,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1793]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13254,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13253]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1788,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5976_1) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13243,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1788]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13244,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13243]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1787,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5976_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13241,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1787]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13242,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13241]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1774,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 3.82/4.06 | ~ class_Rings_Olinordered__semidom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.82/4.06 | X2 != X3 ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5982_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13215,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 3.82/4.06 | ~ class_Rings_Olinordered__semidom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.82/4.06 | X2 != X3 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1774]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13216,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 3.82/4.06 | X2 != X3 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13215]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1770,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5983_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13207,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1770]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13208,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Fields_Olinordered__field(X0)
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13207]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1766,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.06 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5984_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13199,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.06 | ~ class_Fields_Olinordered__field(X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1766]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13200,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Fields_Olinordered__field(X0)
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13199]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1749,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5991_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13165,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1749]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13166,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13165]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1746,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5992_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13159,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1746]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13160,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13159]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1743,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5993_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13153,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1743]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13154,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13153]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1740,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Osgn__class_Osgn(X0,X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5994_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13147,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Osgn__class_Osgn(X0,X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1740]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13148,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Osgn__class_Osgn(X0,X1))
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13147]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1731,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5997_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13129,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1731]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13130,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13129]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1725,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5999_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13117,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1725]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13118,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13117]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1722,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6000_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13111,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1722]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13112,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13111]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1708,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3)
% 3.82/4.06 | ~ class_Fields_Ofield(X0)
% 3.82/4.06 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.06 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6007_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13083,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3)
% 3.82/4.06 | ~ class_Fields_Ofield(X0)
% 3.82/4.06 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.06 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1708]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13084,plain,
% 3.82/4.06 ( ~ class_Fields_Ofield(X0)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3)
% 3.82/4.06 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.06 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13083]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1699,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6010_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13065,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1699]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13066,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13065]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1694,plain,
% 3.82/4.06 ( 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))))
% 3.82/4.06 | ~ class_Rings_Oidom(X0)
% 3.82/4.06 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6012_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13055,plain,
% 3.82/4.06 ( 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))))
% 3.82/4.06 | ~ class_Rings_Oidom(X0)
% 3.82/4.06 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1694]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13056,plain,
% 3.82/4.06 ( ~ class_Rings_Oidom(X0)
% 3.82/4.06 | 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)))
% 3.82/4.06 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13055]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1689,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6014_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13045,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1689]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13046,plain,
% 3.82/4.06 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13045]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1686,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6015_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13039,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1686]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13040,plain,
% 3.82/4.06 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13039]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1683,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6016_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13033,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1683]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13034,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13033]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1680,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6017_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13027,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1680]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13028,plain,
% 3.82/4.06 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13027]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1679,plain,
% 3.82/4.06 ( X0 != X1
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6020_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13025,plain,
% 3.82/4.06 ( X0 != X1
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1679]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13026,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.82/4.06 | X1 != X2 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13025]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1678,plain,
% 3.82/4.06 ( X0 != X1
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6020_1) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13023,plain,
% 3.82/4.06 ( X0 != X1
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1678]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13024,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.82/4.06 | X1 != X2 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13023]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1675,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | X2 != X0
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6021_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13017,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | X2 != X0
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1675]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13018,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.82/4.06 | X2 != X0 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13017]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1672,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.82/4.06 | X2 != X1
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6021_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13011,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.82/4.06 | X2 != X1
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1672]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13012,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.82/4.06 | X2 != X1 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13011]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1669,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 3.82/4.06 | X1 = X0
% 3.82/4.06 | hBOOL(hAPP(hAPP(X2,X0),X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6022_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13005,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 3.82/4.06 | X1 = X0
% 3.82/4.06 | hBOOL(hAPP(hAPP(X2,X0),X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1669]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13006,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 3.82/4.06 | X2 = X1 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13005]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1668,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | X0 = X1
% 3.82/4.06 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6022_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13003,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | X0 = X1
% 3.82/4.06 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1668]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_13004,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 3.82/4.06 | X2 = X1 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_13003]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1656,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6026_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12979,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1656]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12980,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12979]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1653,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6027_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12973,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1653]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12974,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12973]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1650,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6028_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12967,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1650]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12968,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12967]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1647,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6029_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12961,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1647]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12962,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12961]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1644,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6030_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12955,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1644]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12956,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12955]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1641,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Osgn__class_Osgn(X0,X1))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6031_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12949,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Osgn__class_Osgn(X0,X1))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1641]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12950,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Osgn__class_Osgn(X0,X1))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12949]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1632,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6034_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12931,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1632]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12932,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12931]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1629,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6035_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12925,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1629]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12926,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12925]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1626,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6036_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12919,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1626]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12920,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12919]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1623,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6037_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12913,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1623]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12914,plain,
% 3.82/4.06 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12913]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1613,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.06 | ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6041_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12893,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.06 | ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1613]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12894,plain,
% 3.82/4.06 ( ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(X0,X1,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12893]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1610,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.06 | ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6042_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12887,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.06 | ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1610]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12888,plain,
% 3.82/4.06 ( ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(X0,X1,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12887]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1606,plain,
% 3.82/4.06 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 3.82/4.06 | X0 = X2
% 3.82/4.06 | ~ class_Rings_Oidom(X1)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6043_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12879,plain,
% 3.82/4.06 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 3.82/4.06 | X0 = X2
% 3.82/4.06 | ~ class_Rings_Oidom(X1)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1606]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12880,plain,
% 3.82/4.06 ( ~ class_Rings_Oidom(X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 3.82/4.06 | X1 = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 3.82/4.06 | X1 = X2 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12879]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1600,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X1)
% 3.82/4.06 | c_Polynomial_Opos__poly(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2))
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6045_1) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12867,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X1)
% 3.82/4.06 | c_Polynomial_Opos__poly(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2))
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1600]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12868,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | c_Polynomial_Opos__poly(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2))
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X1)
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12867]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1590,plain,
% 3.82/4.06 ( X0 != X1
% 3.82/4.06 | X2 = X3
% 3.82/4.06 | ~ class_Groups_Oab__group__add(X4)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(X4,X0,X1) != c_Groups_Ominus__class_Ominus(X4,X2,X3) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6048_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12847,plain,
% 3.82/4.06 ( X0 != X1
% 3.82/4.06 | X2 = X3
% 3.82/4.06 | ~ class_Groups_Oab__group__add(X4)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(X4,X0,X1) != c_Groups_Ominus__class_Ominus(X4,X2,X3) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1590]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12848,plain,
% 3.82/4.06 ( ~ class_Groups_Oab__group__add(X0)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 3.82/4.06 | X1 != X2
% 3.82/4.06 | X3 = X4 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12847]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1589,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ class_Groups_Oab__group__add(X2)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(X2,X3,X4) != c_Groups_Ominus__class_Ominus(X2,X0,X1)
% 3.82/4.06 | X3 != X4 ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6048_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12845,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ class_Groups_Oab__group__add(X2)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(X2,X3,X4) != c_Groups_Ominus__class_Ominus(X2,X0,X1)
% 3.82/4.06 | X3 != X4 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1589]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12846,plain,
% 3.82/4.06 ( ~ class_Groups_Oab__group__add(X0)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 3.82/4.06 | X3 = X4
% 3.82/4.06 | X1 != X2 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12845]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1586,plain,
% 3.82/4.06 ( X0 != X1
% 3.82/4.06 | X2 = X3
% 3.82/4.06 | ~ class_Groups_Oab__group__add(X4)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(X4,X2,X3) != c_Groups_Ominus__class_Ominus(X4,X0,X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6049_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12839,plain,
% 3.82/4.06 ( X0 != X1
% 3.82/4.06 | X2 = X3
% 3.82/4.06 | ~ class_Groups_Oab__group__add(X4)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(X4,X2,X3) != c_Groups_Ominus__class_Ominus(X4,X0,X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1586]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12840,plain,
% 3.82/4.06 ( ~ class_Groups_Oab__group__add(X0)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 3.82/4.06 | X3 != X4
% 3.82/4.06 | X1 = X2 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12839]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1585,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ class_Groups_Oab__group__add(X2)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ominus__class_Ominus(X2,X3,X4)
% 3.82/4.06 | X3 != X4 ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6049_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12837,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ class_Groups_Oab__group__add(X2)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ominus__class_Ominus(X2,X3,X4)
% 3.82/4.06 | X3 != X4 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1585]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12838,plain,
% 3.82/4.06 ( ~ class_Groups_Oab__group__add(X0)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 3.82/4.06 | X1 = X2
% 3.82/4.06 | X3 != X4 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12837]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1582,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6050_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12831,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1582]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12832,plain,
% 3.82/4.06 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12831]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1579,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1)
% 3.82/4.06 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6051_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12825,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1)
% 3.82/4.06 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1579]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12826,plain,
% 3.82/4.06 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12825]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1576,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6052_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12819,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1576]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12820,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12819]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1573,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1)
% 3.82/4.06 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6053_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12813,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1)
% 3.82/4.06 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1573]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12814,plain,
% 3.82/4.06 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12813]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1558,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ class_Groups_Ozero(X2)
% 3.82/4.06 | c_Polynomial_OpCons(X2,X0,X3) != c_Polynomial_OpCons(X2,X1,X4) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6059_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12783,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ class_Groups_Ozero(X2)
% 3.82/4.06 | c_Polynomial_OpCons(X2,X0,X3) != c_Polynomial_OpCons(X2,X1,X4) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1558]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12784,plain,
% 3.82/4.06 ( ~ class_Groups_Ozero(X0)
% 3.82/4.06 | c_Polynomial_OpCons(X0,X1,X2) != c_Polynomial_OpCons(X0,X3,X4)
% 3.82/4.06 | X1 = X3 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12783]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1555,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ class_Groups_Ozero(X2)
% 3.82/4.06 | c_Polynomial_OpCons(X2,X3,X0) != c_Polynomial_OpCons(X2,X4,X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6060_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12777,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ class_Groups_Ozero(X2)
% 3.82/4.06 | c_Polynomial_OpCons(X2,X3,X0) != c_Polynomial_OpCons(X2,X4,X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1555]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12778,plain,
% 3.82/4.06 ( ~ class_Groups_Ozero(X0)
% 3.82/4.06 | c_Polynomial_OpCons(X0,X1,X2) != c_Polynomial_OpCons(X0,X3,X4)
% 3.82/4.06 | X2 = X4 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12777]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1543,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ class_Groups_Ozero(X2)
% 3.82/4.06 | c_Polynomial_Omonom(X2,X0,X3) != c_Polynomial_Omonom(X2,X1,X3) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6064_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12753,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ class_Groups_Ozero(X2)
% 3.82/4.06 | c_Polynomial_Omonom(X2,X0,X3) != c_Polynomial_Omonom(X2,X1,X3) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1543]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12754,plain,
% 3.82/4.06 ( ~ class_Groups_Ozero(X0)
% 3.82/4.06 | c_Polynomial_Omonom(X0,X1,X2) != c_Polynomial_Omonom(X0,X3,X2)
% 3.82/4.06 | X1 = X3 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12753]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1539,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | ~ class_Rings_Oidom(X1)
% 3.82/4.06 | c_Polynomial_Oorder(X1,X2,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | hAPP(c_Polynomial_Opoly(X1,X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6065_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12745,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | ~ class_Rings_Oidom(X1)
% 3.82/4.06 | c_Polynomial_Oorder(X1,X2,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | hAPP(c_Polynomial_Opoly(X1,X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1539]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12746,plain,
% 3.82/4.06 ( ~ class_Rings_Oidom(X0)
% 3.82/4.06 | hAPP(c_Polynomial_Opoly(X0,X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | c_Polynomial_Oorder(X0,X2,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12745]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1534,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6067_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12735,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1534]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12736,plain,
% 3.82/4.06 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | X1 = X0 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12735]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1531,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk15_2(X1,X0),X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6068_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12729,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk15_2(X1,X0),X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1531]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12730,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk15_2(X0,X1),X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0))
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12729]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1528,plain,
% 3.82/4.06 ( 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))))
% 3.82/4.06 | ~ class_Rings_Oidom(X0)
% 3.82/4.06 | X1 != X2 ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6069_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12723,plain,
% 3.82/4.06 ( 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))))
% 3.82/4.06 | ~ class_Rings_Oidom(X0)
% 3.82/4.06 | X1 != X2 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1528]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12724,plain,
% 3.82/4.06 ( ~ class_Rings_Oidom(X0)
% 3.82/4.06 | 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)))
% 3.82/4.06 | X1 != X2 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12723]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1518,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6073_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12703,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1518]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12704,plain,
% 3.82/4.06 ( ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12703]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1515,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6074_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12697,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1515]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12698,plain,
% 3.82/4.06 ( ~ class_Rings_Ocomm__ring__1(X0)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12697]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1511,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X1),X0) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6075_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12689,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X1),X0) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1511]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12690,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1)
% 3.82/4.06 | c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X0),X1) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12689]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1499,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.82/4.06 | ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.06 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6080_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12665,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.82/4.06 | ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.06 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1499]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12666,plain,
% 3.82/4.06 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.82/4.06 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12665]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1488,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6084_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12643,plain,
% 3.82/4.06 ( X0 = X1
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1488]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12644,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 3.82/4.06 | X1 = X0 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12643]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1448,plain,
% 3.82/4.06 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6098_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12563,plain,
% 3.82/4.06 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1448]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12564,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | X0 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12563]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1445,plain,
% 3.82/4.06 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6099_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12557,plain,
% 3.82/4.06 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1445]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12558,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | X1 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12557]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1397,plain,
% 3.82/4.06 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 3.82/4.06 | ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.06 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)
% 3.82/4.06 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6128_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12461,plain,
% 3.82/4.06 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 3.82/4.06 | ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.06 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)
% 3.82/4.06 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1397]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12462,plain,
% 3.82/4.06 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.06 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 3.82/4.06 | X3 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12461]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1393,plain,
% 3.82/4.06 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 3.82/4.06 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X3) != X2
% 3.82/4.06 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6129_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12453,plain,
% 3.82/4.06 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 3.82/4.06 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X3) != X2
% 3.82/4.06 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1393]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12454,plain,
% 3.82/4.06 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != X3
% 3.82/4.06 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X1 = c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12453]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1390,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.06 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.06 | c_Divides_Odiv__class_Omod(X0,X2,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6130_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12447,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.06 | ~ class_Divides_Osemiring__div(X0)
% 3.82/4.06 | c_Divides_Odiv__class_Omod(X0,X2,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1390]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12448,plain,
% 3.82/4.06 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.82/4.06 | c_Divides_Odiv__class_Omod(X0,X2,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12447]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1382,plain,
% 3.82/4.06 ( X0 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)
% 3.82/4.06 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.06 | c_Rings_Oinverse__class_Odivide(X1,X0,X3) != X2 ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6133_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12431,plain,
% 3.82/4.06 ( X0 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)
% 3.82/4.06 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.06 | c_Rings_Oinverse__class_Odivide(X1,X0,X3) != X2 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1382]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12432,plain,
% 3.82/4.06 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.06 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != X3
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X1 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12431]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1378,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = X3
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.06 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6134_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12423,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = X3
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.06 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1378]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12424,plain,
% 3.82/4.06 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = X3
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12423]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1374,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) = X3
% 3.82/4.06 | ~ class_Rings_Odivision__ring(X1)
% 3.82/4.06 | X2 != c_Rings_Oinverse__class_Odivide(X1,X3,X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6135_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12415,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) = X3
% 3.82/4.06 | ~ class_Rings_Odivision__ring(X1)
% 3.82/4.06 | X2 != c_Rings_Oinverse__class_Odivide(X1,X3,X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1374]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12416,plain,
% 3.82/4.06 ( ~ class_Rings_Odivision__ring(X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = X3
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12415]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1370,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | X2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X0)
% 3.82/4.06 | ~ class_Rings_Odivision__ring(X1)
% 3.82/4.06 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != X3 ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6136_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12407,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | X2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X0)
% 3.82/4.06 | ~ class_Rings_Odivision__ring(X1)
% 3.82/4.06 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != X3 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1370]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12408,plain,
% 3.82/4.06 ( ~ class_Rings_Odivision__ring(X0)
% 3.82/4.06 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != X3
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X1 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12407]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1356,plain,
% 3.82/4.06 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.06 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6141_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12379,plain,
% 3.82/4.06 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.06 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1356]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12380,plain,
% 3.82/4.06 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.06 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12379]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1352,plain,
% 3.82/4.06 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 3.82/4.06 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X3) != X2 ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6142_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12371,plain,
% 3.82/4.06 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 3.82/4.06 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X3) != X2 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1352]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12372,plain,
% 3.82/4.06 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != X3
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X1 = c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12371]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1330,plain,
% 3.82/4.06 ( c_Polynomial_Opos__poly(X0,c_Polynomial_OpCons(X0,X1,X2))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6150_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12327,plain,
% 3.82/4.06 ( c_Polynomial_Opos__poly(X0,c_Polynomial_OpCons(X0,X1,X2))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1330]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12328,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | c_Polynomial_Opos__poly(X0,c_Polynomial_OpCons(X0,X1,X2))
% 3.82/4.06 | ~ c_Polynomial_Opos__poly(X0,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12327]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1316,plain,
% 3.82/4.06 ( X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.06 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6155_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12299,plain,
% 3.82/4.06 ( X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.06 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1316]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12300,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12299]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1315,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.06 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6155_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12297,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.06 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1315]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12298,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.82/4.06 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12297]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1296,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 3.82/4.06 | c_Nat_OSuc(X0) = X1
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6162_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12259,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 3.82/4.06 | c_Nat_OSuc(X0) = X1
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1296]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12260,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Nat_OSuc(X0) = X1 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12259]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1293,plain,
% 3.82/4.06 ( c_Polynomial_Odegree(X0,c_Polynomial_OpCons(X0,X1,X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | ~ class_Groups_Ozero(X0)
% 3.82/4.06 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6163_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12253,plain,
% 3.82/4.06 ( c_Polynomial_Odegree(X0,c_Polynomial_OpCons(X0,X1,X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | ~ class_Groups_Ozero(X0)
% 3.82/4.06 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1293]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12254,plain,
% 3.82/4.06 ( ~ class_Groups_Ozero(X0)
% 3.82/4.06 | c_Polynomial_Odegree(X0,c_Polynomial_OpCons(X0,X1,X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12253]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1282,plain,
% 3.82/4.06 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.06 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6167_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12231,plain,
% 3.82/4.06 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.06 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1282]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12232,plain,
% 3.82/4.06 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 3.82/4.06 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12231]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1256,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | X2 != X1
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6180_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12179,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | X2 != X1
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1256]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12180,plain,
% 3.82/4.06 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.82/4.06 | X2 != X1 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12179]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1255,plain,
% 3.82/4.06 ( X0 != X1
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6181_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12177,plain,
% 3.82/4.06 ( X0 != X1
% 3.82/4.06 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1255]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12178,plain,
% 3.82/4.06 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.82/4.06 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.82/4.06 | X2 != X0 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12177]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1220,plain,
% 3.82/4.06 ( c_Polynomial_Odegree(X0,c_Polynomial_Osmult(X0,X1,X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | ~ class_Rings_Oidom(X0)
% 3.82/4.06 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6193_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12107,plain,
% 3.82/4.06 ( c_Polynomial_Odegree(X0,c_Polynomial_Osmult(X0,X1,X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | ~ class_Rings_Oidom(X0)
% 3.82/4.06 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1220]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12108,plain,
% 3.82/4.06 ( ~ class_Rings_Oidom(X0)
% 3.82/4.06 | c_Polynomial_Odegree(X0,c_Polynomial_Osmult(X0,X1,X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12107]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1203,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 3.82/4.06 | ~ class_Rings_Oidom(X0)
% 3.82/4.06 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6200_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12073,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 3.82/4.06 | ~ class_Rings_Oidom(X0)
% 3.82/4.06 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1203]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12074,plain,
% 3.82/4.06 ( ~ class_Rings_Oidom(X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 3.82/4.06 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12073]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1179,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | c_Groups_Osgn__class_Osgn(X1,X0) = c_Groups_Oone__class_Oone(X1)
% 3.82/4.06 | ~ class_Groups_Osgn__if(X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6211_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12025,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | c_Groups_Osgn__class_Osgn(X1,X0) = c_Groups_Oone__class_Oone(X1)
% 3.82/4.06 | ~ class_Groups_Osgn__if(X1)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1179]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12026,plain,
% 3.82/4.06 ( ~ class_Groups_Osgn__if(X0)
% 3.82/4.06 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.06 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12025]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1176,plain,
% 3.82/4.06 ( c_Polynomial_Odegree(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | ~ class_Rings_Ocomm__semiring__0(X0)
% 3.82/4.06 | c_Polynomial_Osynthetic__div(X0,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6212_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12019,plain,
% 3.82/4.06 ( c_Polynomial_Odegree(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | ~ class_Rings_Ocomm__semiring__0(X0)
% 3.82/4.06 | c_Polynomial_Osynthetic__div(X0,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1176]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12020,plain,
% 3.82/4.06 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.82/4.06 | c_Polynomial_Odegree(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.06 | c_Polynomial_Osynthetic__div(X0,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12019]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1172,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | ~ class_Rings_Oidom(X1)
% 3.82/4.06 | c_Polynomial_Osmult(X1,X2,X0) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6213_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12011,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | ~ class_Rings_Oidom(X1)
% 3.82/4.06 | c_Polynomial_Osmult(X1,X2,X0) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1172]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12012,plain,
% 3.82/4.06 ( ~ class_Rings_Oidom(X0)
% 3.82/4.06 | c_Polynomial_Osmult(X0,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_12011]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1166,plain,
% 3.82/4.06 ( ~ class_Rings_Ozero__neq__one(X0)
% 3.82/4.06 | ~ class_Rings_Ono__zero__divisors(X0)
% 3.82/4.06 | ~ class_Rings_Omult__zero(X0)
% 3.82/4.06 | ~ class_Power_Opower(X0)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6214_5) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11999,plain,
% 3.82/4.06 ( ~ class_Rings_Ozero__neq__one(X0)
% 3.82/4.06 | ~ class_Rings_Ono__zero__divisors(X0)
% 3.82/4.06 | ~ class_Rings_Omult__zero(X0)
% 3.82/4.06 | ~ class_Power_Opower(X0)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1166]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_12000,plain,
% 3.82/4.06 ( ~ class_Rings_Ono__zero__divisors(X0)
% 3.82/4.06 | ~ class_Rings_Ozero__neq__one(X0)
% 3.82/4.06 | ~ class_Rings_Omult__zero(X0)
% 3.82/4.06 | ~ class_Power_Opower(X0)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_11999]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1163,plain,
% 3.82/4.06 ( X0 != X1
% 3.82/4.06 | c_Polynomial_OpCons(X2,X0,X3) = c_Polynomial_OpCons(X2,X1,X4)
% 3.82/4.06 | ~ class_Groups_Ozero(X2)
% 3.82/4.06 | X3 != X4 ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6215_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11993,plain,
% 3.82/4.06 ( X0 != X1
% 3.82/4.06 | c_Polynomial_OpCons(X2,X0,X3) = c_Polynomial_OpCons(X2,X1,X4)
% 3.82/4.06 | ~ class_Groups_Ozero(X2)
% 3.82/4.06 | X3 != X4 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1163]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11994,plain,
% 3.82/4.06 ( ~ class_Groups_Ozero(X0)
% 3.82/4.06 | c_Polynomial_OpCons(X0,X1,X2) = c_Polynomial_OpCons(X0,X3,X4)
% 3.82/4.06 | X1 != X3
% 3.82/4.06 | X2 != X4 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_11993]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1162,plain,
% 3.82/4.06 ( c_Polynomial_OpCons(X0,X1,X2) = c_Polynomial_OpCons(X0,X3,X4)
% 3.82/4.06 | ~ class_Groups_Ozero(X0)
% 3.82/4.06 | X2 != X4
% 3.82/4.06 | X1 != X3 ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6215_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11991,plain,
% 3.82/4.06 ( c_Polynomial_OpCons(X0,X1,X2) = c_Polynomial_OpCons(X0,X3,X4)
% 3.82/4.06 | ~ class_Groups_Ozero(X0)
% 3.82/4.06 | X2 != X4
% 3.82/4.06 | X1 != X3 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1162]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11992,plain,
% 3.82/4.06 ( ~ class_Groups_Ozero(X0)
% 3.82/4.06 | c_Polynomial_OpCons(X0,X1,X2) = c_Polynomial_OpCons(X0,X3,X4)
% 3.82/4.06 | X2 != X4
% 3.82/4.06 | X1 != X3 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_11991]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1156,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | ~ class_Rings_Ozero__neq__one(X1)
% 3.82/4.06 | ~ class_Rings_Ono__zero__divisors(X1)
% 3.82/4.06 | ~ class_Rings_Omult__zero(X1)
% 3.82/4.06 | ~ class_Power_Opower(X1)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6216_5) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11979,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.06 | ~ class_Rings_Ozero__neq__one(X1)
% 3.82/4.06 | ~ class_Rings_Ono__zero__divisors(X1)
% 3.82/4.06 | ~ class_Rings_Omult__zero(X1)
% 3.82/4.06 | ~ class_Power_Opower(X1)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1156]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11980,plain,
% 3.82/4.06 ( ~ class_Rings_Ono__zero__divisors(X0)
% 3.82/4.06 | ~ class_Rings_Ozero__neq__one(X0)
% 3.82/4.06 | ~ class_Rings_Omult__zero(X0)
% 3.82/4.06 | ~ class_Power_Opower(X0)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_11979]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1152,plain,
% 3.82/4.06 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))
% 3.82/4.06 | X0 = c_Groups_Oone__class_Oone(X1)
% 3.82/4.06 | ~ class_Rings_Oring__1__no__zero__divisors(X1)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != c_Groups_Oone__class_Oone(X1) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6217_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11971,plain,
% 3.82/4.06 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))
% 3.82/4.06 | X0 = c_Groups_Oone__class_Oone(X1)
% 3.82/4.06 | ~ class_Rings_Oring__1__no__zero__divisors(X1)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != c_Groups_Oone__class_Oone(X1) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1152]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11972,plain,
% 3.82/4.06 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 3.82/4.06 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.06 | X1 = c_Groups_Oone__class_Oone(X0)
% 3.82/4.06 | X1 = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_11971]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1149,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6218_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11965,plain,
% 3.82/4.06 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1149]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11966,plain,
% 3.82/4.06 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.06 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.82/4.06 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_11965]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1134,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | ~ class_Fields_Ofield(X1)
% 3.82/4.06 | c_Polynomial_Opoly__gcd(X1,X0,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6223_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11935,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | ~ class_Fields_Ofield(X1)
% 3.82/4.06 | c_Polynomial_Opoly__gcd(X1,X0,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1134]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11936,plain,
% 3.82/4.06 ( ~ class_Fields_Ofield(X0)
% 3.82/4.06 | c_Polynomial_Opoly__gcd(X0,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.06 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_11935]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1131,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | ~ class_Fields_Ofield(X1)
% 3.82/4.06 | c_Polynomial_Opoly__gcd(X1,X2,X0) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6224_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11929,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | ~ class_Fields_Ofield(X1)
% 3.82/4.06 | c_Polynomial_Opoly__gcd(X1,X2,X0) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1131]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11930,plain,
% 3.82/4.06 ( ~ class_Fields_Ofield(X0)
% 3.82/4.06 | c_Polynomial_Opoly__gcd(X0,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_11929]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1128,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | ~ class_Groups_Ozero(X1)
% 3.82/4.06 | c_Polynomial_OpCons(X1,X2,X0) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6225_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11923,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | ~ class_Groups_Ozero(X1)
% 3.82/4.06 | c_Polynomial_OpCons(X1,X2,X0) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_1128]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11924,plain,
% 3.82/4.06 ( ~ class_Groups_Ozero(X0)
% 3.82/4.06 | c_Polynomial_OpCons(X0,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.06 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_11923]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_1123,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | ~ class_Rings_Ocomm__semiring__0(X1)
% 3.82/4.06 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X0,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6227_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_11913,plain,
% 3.82/4.06 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.06 | ~ class_Rings_Ocomm__semiring__0(X1)
% 3.82/4.06 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X0,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1123]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11914,plain,
% 3.82/4.07 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.82/4.07 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11913]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1118,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 3.82/4.07 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 3.82/4.07 | X2 != X3 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6229_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11903,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 3.82/4.07 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 3.82/4.07 | X2 != X3 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1118]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11904,plain,
% 3.82/4.07 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 3.82/4.07 | X2 != X3 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11903]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1115,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 3.82/4.07 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 3.82/4.07 | X1 != X3 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6230_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11897,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 3.82/4.07 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 3.82/4.07 | X1 != X3 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1115]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11898,plain,
% 3.82/4.07 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 3.82/4.07 | X1 != X3 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11897]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1112,plain,
% 3.82/4.07 ( c_Polynomial_Omonom(X0,X1,X2) = c_Polynomial_Omonom(X0,X3,X2)
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X1 != X3 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6231_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11891,plain,
% 3.82/4.07 ( c_Polynomial_Omonom(X0,X1,X2) = c_Polynomial_Omonom(X0,X3,X2)
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X1 != X3 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1112]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11892,plain,
% 3.82/4.07 ( ~ class_Groups_Ozero(X0)
% 3.82/4.07 | c_Polynomial_Omonom(X0,X1,X2) = c_Polynomial_Omonom(X0,X3,X2)
% 3.82/4.07 | X1 != X3 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11891]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1111,plain,
% 3.82/4.07 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.07 | X1 = X2
% 3.82/4.07 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.07 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6232_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11889,plain,
% 3.82/4.07 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.07 | X1 = X2
% 3.82/4.07 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.07 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1111]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11890,plain,
% 3.82/4.07 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.07 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.82/4.07 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.82/4.07 | X1 = X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11889]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1103,plain,
% 3.82/4.07 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X0,c_Polynomial_Opoly(X0,X1))
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | sk1_esk12_2(X1,X0) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6236_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11873,plain,
% 3.82/4.07 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X0,c_Polynomial_Opoly(X0,X1))
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | sk1_esk12_2(X1,X0) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1103]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11874,plain,
% 3.82/4.07 ( ~ class_Rings_Oidom(X0)
% 3.82/4.07 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X0,c_Polynomial_Opoly(X0,X1))
% 3.82/4.07 | sk1_esk12_2(X1,X0) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11873]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1100,plain,
% 3.82/4.07 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.07 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.82/4.07 | X0 != X1 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6237_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11867,plain,
% 3.82/4.07 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.07 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.82/4.07 | X0 != X1 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1100]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11868,plain,
% 3.82/4.07 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.82/4.07 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.07 | X0 != X1 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11867]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1093,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6240_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11853,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1093]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11854,plain,
% 3.82/4.07 ( ~ class_Rings_Oidom(X0)
% 3.82/4.07 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11853]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1090,plain,
% 3.82/4.07 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X1)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6241_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11847,plain,
% 3.82/4.07 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X1)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1090]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11848,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 = c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11847]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1087,plain,
% 3.82/4.07 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X1)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6242_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11841,plain,
% 3.82/4.07 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X1)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1087]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11842,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11841]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1079,plain,
% 3.82/4.07 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X0,c_Polynomial_Opoly(X0,X1))
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | sk1_esk11_2(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6245_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11825,plain,
% 3.82/4.07 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X0,c_Polynomial_Opoly(X0,X1))
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | sk1_esk11_2(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1079]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11826,plain,
% 3.82/4.07 ( ~ class_Rings_Oidom(X0)
% 3.82/4.07 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X0,c_Polynomial_Opoly(X0,X1))
% 3.82/4.07 | sk1_esk11_2(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11825]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1076,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Groups_Ozero(X1)
% 3.82/4.07 | c_Polynomial_OpCons(X1,X0,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6246_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11819,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Groups_Ozero(X1)
% 3.82/4.07 | c_Polynomial_OpCons(X1,X0,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1076]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11820,plain,
% 3.82/4.07 ( ~ class_Groups_Ozero(X0)
% 3.82/4.07 | c_Polynomial_OpCons(X0,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11819]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1073,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Groups_Ozero(X1)
% 3.82/4.07 | c_Polynomial_Omonom(X1,X0,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6247_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11813,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Groups_Ozero(X1)
% 3.82/4.07 | c_Polynomial_Omonom(X1,X0,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1073]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11814,plain,
% 3.82/4.07 ( ~ class_Groups_Ozero(X0)
% 3.82/4.07 | c_Polynomial_Omonom(X0,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11813]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1059,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6254_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11785,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1059]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11786,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11785]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1057,plain,
% 3.82/4.07 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6254_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11781,plain,
% 3.82/4.07 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1057]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11782,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11781]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1045,plain,
% 3.82/4.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 3.82/4.07 | X1 = X0
% 3.82/4.07 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6259_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11757,plain,
% 3.82/4.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 3.82/4.07 | X1 = X0
% 3.82/4.07 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1045]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11758,plain,
% 3.82/4.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 3.82/4.07 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 3.82/4.07 | X1 = X0 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11757]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1041,plain,
% 3.82/4.07 ( X0 = X1
% 3.82/4.07 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.07 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6261_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11749,plain,
% 3.82/4.07 ( X0 = X1
% 3.82/4.07 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.07 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1041]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11750,plain,
% 3.82/4.07 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.82/4.07 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 3.82/4.07 | X0 = X1 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11749]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1031,plain,
% 3.82/4.07 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) != X2 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6264_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11729,plain,
% 3.82/4.07 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) != X2 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1031]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11730,plain,
% 3.82/4.07 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != X3
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11729]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1030,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X1,X2,X3) != X0
% 3.82/4.07 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6264_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11727,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X1,X2,X3) != X0
% 3.82/4.07 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1030]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11728,plain,
% 3.82/4.07 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != X3
% 3.82/4.07 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11727]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1027,plain,
% 3.82/4.07 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | X2 != c_Rings_Oinverse__class_Odivide(X1,X3,X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6265_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11721,plain,
% 3.82/4.07 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | X2 != c_Rings_Oinverse__class_Odivide(X1,X3,X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1027]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11722,plain,
% 3.82/4.07 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 != c_Rings_Oinverse__class_Odivide(X0,X3,X1) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11721]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1026,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | X0 != c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 3.82/4.07 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6265_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11719,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | X0 != c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 3.82/4.07 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1026]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11720,plain,
% 3.82/4.07 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11719]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1020,plain,
% 3.82/4.07 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.07 | c_Polynomial_Opoly__gcd(X1,X0,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.07 | ~ class_Fields_Ofield(X1)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6267_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11707,plain,
% 3.82/4.07 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.07 | c_Polynomial_Opoly__gcd(X1,X0,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.07 | ~ class_Fields_Ofield(X1)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1020]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11708,plain,
% 3.82/4.07 ( ~ class_Fields_Ofield(X0)
% 3.82/4.07 | c_Polynomial_Opoly__gcd(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11707]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1019,plain,
% 3.82/4.07 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Fields_Ofield(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6267_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11705,plain,
% 3.82/4.07 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Fields_Ofield(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1019]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11706,plain,
% 3.82/4.07 ( ~ class_Fields_Ofield(X0)
% 3.82/4.07 | c_Polynomial_Opoly__gcd(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11705]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1011,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | X2 = X0
% 3.82/4.07 | ~ class_Rings_Odivision__ring(X1)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != c_Groups_Oone__class_Oone(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6269_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11689,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | X2 = X0
% 3.82/4.07 | ~ class_Rings_Odivision__ring(X1)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != c_Groups_Oone__class_Oone(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1011]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11690,plain,
% 3.82/4.07 ( ~ class_Rings_Odivision__ring(X0)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11689]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1009,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6270_1) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11685,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1009]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11686,plain,
% 3.82/4.07 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 3.82/4.07 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11685]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_1000,plain,
% 3.82/4.07 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6273_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11667,plain,
% 3.82/4.07 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_1000]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11668,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11667]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_997,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6274_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11661,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_997]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11662,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11661]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_994,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6277_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11655,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_994]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11656,plain,
% 3.82/4.07 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 3.82/4.07 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11655]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_991,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Rings_Oring__no__zero__divisors(X1)
% 3.82/4.07 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6277_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11649,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Rings_Oring__no__zero__divisors(X1)
% 3.82/4.07 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_991]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11650,plain,
% 3.82/4.07 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 3.82/4.07 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11649]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_978,plain,
% 3.82/4.07 ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 3.82/4.07 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 3.82/4.07 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6281_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11623,plain,
% 3.82/4.07 ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 3.82/4.07 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 3.82/4.07 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q ),
% 3.82/4.07 inference(copy,[status(esa)],[c_978]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11624,plain,
% 3.82/4.07 ( v_p != v_q
% 3.82/4.07 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 3.82/4.07 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11623]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_972,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X1,X0,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6285_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11611,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X1,X0,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_972]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11612,plain,
% 3.82/4.07 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X0,X1,X1) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11611]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_968,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6287_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11603,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_968]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11604,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11603]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_966,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6287_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11599,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_966]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11600,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11599]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_963,plain,
% 3.82/4.07 ( X0 = X1
% 3.82/4.07 | ~ class_Groups_Oab__group__add(X2)
% 3.82/4.07 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6288_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11593,plain,
% 3.82/4.07 ( X0 = X1
% 3.82/4.07 | ~ class_Groups_Oab__group__add(X2)
% 3.82/4.07 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_963]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11594,plain,
% 3.82/4.07 ( ~ class_Groups_Oab__group__add(X0)
% 3.82/4.07 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11593]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_960,plain,
% 3.82/4.07 ( X0 = X1
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X2)
% 3.82/4.07 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6289_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11587,plain,
% 3.82/4.07 ( X0 = X1
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X2)
% 3.82/4.07 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_960]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11588,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11587]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_952,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != X2 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6292_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11571,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != X2 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_952]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11572,plain,
% 3.82/4.07 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != X1
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11571]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_948,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.07 | ~ class_Rings_Oidom(X1)
% 3.82/4.07 | ~ class_Int_Oring__char__0(X1)
% 3.82/4.07 | c_Polynomial_Opoly(X1,X0) != c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6293_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11563,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.07 | ~ class_Rings_Oidom(X1)
% 3.82/4.07 | ~ class_Int_Oring__char__0(X1)
% 3.82/4.07 | c_Polynomial_Opoly(X1,X0) != c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_948]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11564,plain,
% 3.82/4.07 ( ~ class_Int_Oring__char__0(X0)
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | c_Polynomial_Opoly(X0,X1) != c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11563]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_945,plain,
% 3.82/4.07 ( c_Polynomial_Osynthetic__div(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Rings_Ocomm__semiring__0(X0)
% 3.82/4.07 | c_Polynomial_Odegree(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6294_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11557,plain,
% 3.82/4.07 ( c_Polynomial_Osynthetic__div(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Rings_Ocomm__semiring__0(X0)
% 3.82/4.07 | c_Polynomial_Odegree(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_945]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11558,plain,
% 3.82/4.07 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.82/4.07 | c_Polynomial_Odegree(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | c_Polynomial_Osynthetic__div(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11557]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_941,plain,
% 3.82/4.07 ( c_Polynomial_OpCons(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6295_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11549,plain,
% 3.82/4.07 ( c_Polynomial_OpCons(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_941]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11550,plain,
% 3.82/4.07 ( ~ class_Groups_Ozero(X0)
% 3.82/4.07 | c_Polynomial_OpCons(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11549]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_928,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | ~ class_Rings_Ozero__neq__one(X0)
% 3.82/4.07 | ~ class_Rings_Ono__zero__divisors(X0)
% 3.82/4.07 | ~ class_Rings_Omult__zero(X0)
% 3.82/4.07 | ~ class_Power_Opower(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6299_6) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11523,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | ~ class_Rings_Ozero__neq__one(X0)
% 3.82/4.07 | ~ class_Rings_Ono__zero__divisors(X0)
% 3.82/4.07 | ~ class_Rings_Omult__zero(X0)
% 3.82/4.07 | ~ class_Power_Opower(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_928]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11524,plain,
% 3.82/4.07 ( ~ class_Rings_Ono__zero__divisors(X0)
% 3.82/4.07 | ~ class_Rings_Ozero__neq__one(X0)
% 3.82/4.07 | ~ class_Rings_Omult__zero(X0)
% 3.82/4.07 | ~ class_Power_Opower(X0)
% 3.82/4.07 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11523]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_925,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 3.82/4.07 | X1 != c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6300_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11517,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 3.82/4.07 | X1 != c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_925]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11518,plain,
% 3.82/4.07 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 3.82/4.07 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | X1 != c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11517]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_922,plain,
% 3.82/4.07 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.07 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.07 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6301_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11511,plain,
% 3.82/4.07 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.07 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.07 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_922]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11512,plain,
% 3.82/4.07 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.07 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.82/4.07 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11511]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_915,plain,
% 3.82/4.07 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6304_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11497,plain,
% 3.82/4.07 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_915]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11498,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11497]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_906,plain,
% 3.82/4.07 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6308_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11479,plain,
% 3.82/4.07 ( hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_906]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11480,plain,
% 3.82/4.07 ( ~ class_Groups_Ozero(X0)
% 3.82/4.07 | hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11479]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_898,plain,
% 3.82/4.07 ( hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6311_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11463,plain,
% 3.82/4.07 ( hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_898]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11464,plain,
% 3.82/4.07 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.82/4.07 | hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11463]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_873,plain,
% 3.82/4.07 ( hAPP(c_Polynomial_Ocoeff(X0,X1),X2) = hAPP(c_Polynomial_Ocoeff(X0,X3),X2)
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X1 != X3 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6324_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11413,plain,
% 3.82/4.07 ( hAPP(c_Polynomial_Ocoeff(X0,X1),X2) = hAPP(c_Polynomial_Ocoeff(X0,X3),X2)
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X1 != X3 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_873]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11414,plain,
% 3.82/4.07 ( ~ class_Groups_Ozero(X0)
% 3.82/4.07 | hAPP(c_Polynomial_Ocoeff(X0,X1),X2) = hAPP(c_Polynomial_Ocoeff(X0,X3),X2)
% 3.82/4.07 | X1 != X3 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11413]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_858,plain,
% 3.82/4.07 ( c_Polynomial_Osmult(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6331_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11383,plain,
% 3.82/4.07 ( c_Polynomial_Osmult(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_858]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11384,plain,
% 3.82/4.07 ( ~ class_Rings_Oidom(X0)
% 3.82/4.07 | c_Polynomial_Osmult(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11383]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_855,plain,
% 3.82/4.07 ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Rings_Ocomm__semiring__0(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6332_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11377,plain,
% 3.82/4.07 ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Rings_Ocomm__semiring__0(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_855]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11378,plain,
% 3.82/4.07 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.82/4.07 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11377]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_850,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | X2 != c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6334_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11367,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | X2 != c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_850]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11368,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 != c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11367]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_847,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6335_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11361,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_847]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11362,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11361]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_844,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),c_Nat_OSuc(X1)) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Osemiring__0(X0)
% 3.82/4.07 | ~ class_Power_Opower(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6336_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11355,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),c_Nat_OSuc(X1)) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Osemiring__0(X0)
% 3.82/4.07 | ~ class_Power_Opower(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_844]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11356,plain,
% 3.82/4.07 ( ~ class_Rings_Osemiring__0(X0)
% 3.82/4.07 | ~ class_Power_Opower(X0)
% 3.82/4.07 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),c_Nat_OSuc(X1)) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11355]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_840,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | ~ class_Rings_Osemiring__0(X0)
% 3.82/4.07 | ~ class_Power_Opower(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6337_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11347,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | ~ class_Rings_Osemiring__0(X0)
% 3.82/4.07 | ~ class_Power_Opower(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_840]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11348,plain,
% 3.82/4.07 ( ~ class_Rings_Osemiring__0(X0)
% 3.82/4.07 | ~ class_Power_Opower(X0)
% 3.82/4.07 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11347]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_805,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | ~ class_Rings_Osemiring__0(X0)
% 3.82/4.07 | ~ class_Power_Opower(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6356_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11277,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | ~ class_Rings_Osemiring__0(X0)
% 3.82/4.07 | ~ class_Power_Opower(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_805]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11278,plain,
% 3.82/4.07 ( ~ class_Rings_Osemiring__0(X0)
% 3.82/4.07 | ~ class_Power_Opower(X0)
% 3.82/4.07 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11277]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_778,plain,
% 3.82/4.07 ( c_Polynomial_Osmult(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6370_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11223,plain,
% 3.82/4.07 ( c_Polynomial_Osmult(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_778]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11224,plain,
% 3.82/4.07 ( ~ class_Rings_Oidom(X0)
% 3.82/4.07 | c_Polynomial_Osmult(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11223]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_775,plain,
% 3.82/4.07 ( c_Polynomial_Omonom(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6371_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11217,plain,
% 3.82/4.07 ( c_Polynomial_Omonom(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_775]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11218,plain,
% 3.82/4.07 ( ~ class_Groups_Ozero(X0)
% 3.82/4.07 | c_Polynomial_Omonom(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11217]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_769,plain,
% 3.82/4.07 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X1,X2,X3) = X0
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6373_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11205,plain,
% 3.82/4.07 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X1,X2,X3) = X0
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_769]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11206,plain,
% 3.82/4.07 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 3.82/4.07 | X3 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11205]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_768,plain,
% 3.82/4.07 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6373_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11203,plain,
% 3.82/4.07 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_768]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11204,plain,
% 3.82/4.07 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11203]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_765,plain,
% 3.82/4.07 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6374_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11197,plain,
% 3.82/4.07 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_765]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11198,plain,
% 3.82/4.07 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11197]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_764,plain,
% 3.82/4.07 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | X3 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6374_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11195,plain,
% 3.82/4.07 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | X3 != c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_764]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11196,plain,
% 3.82/4.07 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 = c_Rings_Oinverse__class_Odivide(X0,X3,X1) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11195]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_755,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6377_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11177,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_755]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11178,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11177]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_752,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6378_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11171,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_752]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11172,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11171]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_748,plain,
% 3.82/4.07 ( c_Polynomial_Opoly(X0,X1) = c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | ~ class_Int_Oring__char__0(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6379_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11163,plain,
% 3.82/4.07 ( c_Polynomial_Opoly(X0,X1) = c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | ~ class_Int_Oring__char__0(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_748]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11164,plain,
% 3.82/4.07 ( ~ class_Int_Oring__char__0(X0)
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | c_Polynomial_Opoly(X0,X1) = c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11163]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_718,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) = c_Groups_Oone__class_Oone(X1)
% 3.82/4.07 | ~ class_Rings_Odivision__ring(X1)
% 3.82/4.07 | X2 != X0 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6393_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11103,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) = c_Groups_Oone__class_Oone(X1)
% 3.82/4.07 | ~ class_Rings_Odivision__ring(X1)
% 3.82/4.07 | X2 != X0 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_718]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11104,plain,
% 3.82/4.07 ( ~ class_Rings_Odivision__ring(X0)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11103]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_713,plain,
% 3.82/4.07 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6395_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11093,plain,
% 3.82/4.07 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_713]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11094,plain,
% 3.82/4.07 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.82/4.07 | c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11093]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_705,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6398_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11077,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_705]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11078,plain,
% 3.82/4.07 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11077]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_680,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 3.82/4.07 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6410_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11027,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 3.82/4.07 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_680]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11028,plain,
% 3.82/4.07 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 3.82/4.07 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11027]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_677,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6411_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11021,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_677]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11022,plain,
% 3.82/4.07 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 3.82/4.07 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11021]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_674,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6412_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11015,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_674]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11016,plain,
% 3.82/4.07 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 3.82/4.07 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11015]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_672,plain,
% 3.82/4.07 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 3.82/4.07 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6413_1) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11011,plain,
% 3.82/4.07 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 3.82/4.07 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_672]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_11012,plain,
% 3.82/4.07 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 3.82/4.07 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_11011]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_660,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 3.82/4.07 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6417_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10987,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 3.82/4.07 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_660]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10988,plain,
% 3.82/4.07 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10987]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_649,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | ~ class_Power_Opower(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6422_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10965,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | ~ class_Power_Opower(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_649]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10966,plain,
% 3.82/4.07 ( ~ class_Power_Opower(X0)
% 3.82/4.07 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10965]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_646,plain,
% 3.82/4.07 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Oab__group__add(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6423_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10959,plain,
% 3.82/4.07 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Oab__group__add(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_646]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10960,plain,
% 3.82/4.07 ( ~ class_Groups_Oab__group__add(X0)
% 3.82/4.07 | c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10959]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_643,plain,
% 3.82/4.07 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6424_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10953,plain,
% 3.82/4.07 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_643]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10954,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10953]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_640,plain,
% 3.82/4.07 ( hAPP(c_Polynomial_Opoly(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6425_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10947,plain,
% 3.82/4.07 ( hAPP(c_Polynomial_Opoly(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_640]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10948,plain,
% 3.82/4.07 ( ~ class_Rings_Oidom(X0)
% 3.82/4.07 | hAPP(c_Polynomial_Opoly(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10947]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_612,plain,
% 3.82/4.07 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6440_1) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10891,plain,
% 3.82/4.07 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_612]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10892,plain,
% 3.82/4.07 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10891]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_599,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6446_1) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10865,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.82/4.07 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_599]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10866,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10865]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_586,plain,
% 3.82/4.07 ( X0 = X1
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X2)
% 3.82/4.07 | X0 = c_Groups_Ozero__class_Ozero(X2)
% 3.82/4.07 | c_Rings_Oinverse__class_Oinverse(X2,X0) != c_Rings_Oinverse__class_Oinverse(X2,X1)
% 3.82/4.07 | ~ class_Rings_Odivision__ring(X2) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6453_4) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10839,plain,
% 3.82/4.07 ( X0 = X1
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X2)
% 3.82/4.07 | X0 = c_Groups_Ozero__class_Ozero(X2)
% 3.82/4.07 | c_Rings_Oinverse__class_Oinverse(X2,X0) != c_Rings_Oinverse__class_Oinverse(X2,X1)
% 3.82/4.07 | ~ class_Rings_Odivision__ring(X2) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_586]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10840,plain,
% 3.82/4.07 ( ~ class_Rings_Odivision__ring(X0)
% 3.82/4.07 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Rings_Oinverse__class_Oinverse(X0,X2)
% 3.82/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10839]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_575,plain,
% 3.82/4.07 ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q
% 3.82/4.07 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk1_esk4_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6459_1) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10817,plain,
% 3.82/4.07 ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q
% 3.82/4.07 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk1_esk4_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_575]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10818,plain,
% 3.82/4.07 ( v_p = v_q
% 3.82/4.07 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk1_esk4_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10817]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_565,plain,
% 3.82/4.07 ( X0 = X1
% 3.82/4.07 | ~ class_Rings_Oidom(X2)
% 3.82/4.07 | ~ class_Int_Oring__char__0(X2)
% 3.82/4.07 | c_Polynomial_Opoly(X2,X0) != c_Polynomial_Opoly(X2,X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6464_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10797,plain,
% 3.82/4.07 ( X0 = X1
% 3.82/4.07 | ~ class_Rings_Oidom(X2)
% 3.82/4.07 | ~ class_Int_Oring__char__0(X2)
% 3.82/4.07 | c_Polynomial_Opoly(X2,X0) != c_Polynomial_Opoly(X2,X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_565]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10798,plain,
% 3.82/4.07 ( ~ class_Int_Oring__char__0(X0)
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | c_Polynomial_Opoly(X0,X1) != c_Polynomial_Opoly(X0,X2)
% 3.82/4.07 | X1 = X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10797]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_560,plain,
% 3.82/4.07 ( X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6466_1) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10787,plain,
% 3.82/4.07 ( X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_560]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10788,plain,
% 3.82/4.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.82/4.07 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10787]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_534,plain,
% 3.82/4.07 ( c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6494_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10735,plain,
% 3.82/4.07 ( c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_534]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10736,plain,
% 3.82/4.07 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.07 | c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10735]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_517,plain,
% 3.82/4.07 ( X0 = X1
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X2)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X2,X0) != c_Groups_Ouminus__class_Ouminus(X2,X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6504_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10701,plain,
% 3.82/4.07 ( X0 = X1
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X2)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X2,X0) != c_Groups_Ouminus__class_Ouminus(X2,X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_517]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10702,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ouminus__class_Ouminus(X0,X2)
% 3.82/4.07 | X1 = X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10701]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_514,plain,
% 3.82/4.07 ( X0 = X1
% 3.82/4.07 | ~ class_Groups_Ozero(X2)
% 3.82/4.07 | c_Polynomial_Ocoeff(X2,X0) != c_Polynomial_Ocoeff(X2,X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6505_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10695,plain,
% 3.82/4.07 ( X0 = X1
% 3.82/4.07 | ~ class_Groups_Ozero(X2)
% 3.82/4.07 | c_Polynomial_Ocoeff(X2,X0) != c_Polynomial_Ocoeff(X2,X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_514]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10696,plain,
% 3.82/4.07 ( ~ class_Groups_Ozero(X0)
% 3.82/4.07 | c_Polynomial_Ocoeff(X0,X1) != c_Polynomial_Ocoeff(X0,X2)
% 3.82/4.07 | X1 = X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10695]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_500,plain,
% 3.82/4.07 ( X0 != c_Groups_Ouminus__class_Ouminus(X1,X2)
% 3.82/4.07 | X2 = c_Groups_Ouminus__class_Ouminus(X1,X0)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6518_1) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10667,plain,
% 3.82/4.07 ( X0 != c_Groups_Ouminus__class_Ouminus(X1,X2)
% 3.82/4.07 | X2 = c_Groups_Ouminus__class_Ouminus(X1,X0)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_500]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10668,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2)
% 3.82/4.07 | X2 = c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10667]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_499,plain,
% 3.82/4.07 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X1)
% 3.82/4.07 | X2 != c_Groups_Ouminus__class_Ouminus(X1,X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6518_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10665,plain,
% 3.82/4.07 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X1)
% 3.82/4.07 | X2 != c_Groups_Ouminus__class_Ouminus(X1,X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_499]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10666,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | X1 = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 3.82/4.07 | X2 != c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10665]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_494,plain,
% 3.82/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,X1) != X2
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X2) = X1
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6520_1) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10655,plain,
% 3.82/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,X1) != X2
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X2) = X1
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_494]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10656,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X1) != X2
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X2) = X1 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10655]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_493,plain,
% 3.82/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X2) != X1 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6520_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10653,plain,
% 3.82/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X2) != X1 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_493]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10654,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X2) != X1 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10653]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_489,plain,
% 3.82/4.07 ( c_Polynomial_Opoly(X0,X1) = c_Polynomial_Opoly(X0,X2)
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | ~ class_Int_Oring__char__0(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6521_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10645,plain,
% 3.82/4.07 ( c_Polynomial_Opoly(X0,X1) = c_Polynomial_Opoly(X0,X2)
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | ~ class_Int_Oring__char__0(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_489]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10646,plain,
% 3.82/4.07 ( ~ class_Int_Oring__char__0(X0)
% 3.82/4.07 | ~ class_Rings_Oidom(X0)
% 3.82/4.07 | c_Polynomial_Opoly(X0,X1) = c_Polynomial_Opoly(X0,X2)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10645]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_486,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.07 | ~ class_Groups_Ozero(X1)
% 3.82/4.07 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6522_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10639,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.82/4.07 | ~ class_Groups_Ozero(X1)
% 3.82/4.07 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_486]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10640,plain,
% 3.82/4.07 ( ~ class_Groups_Ozero(X0)
% 3.82/4.07 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10639]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_484,plain,
% 3.82/4.07 ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q
% 3.82/4.07 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk4_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6523_1) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10635,plain,
% 3.82/4.07 ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q
% 3.82/4.07 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk4_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_484]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10636,plain,
% 3.82/4.07 ( v_p = v_q
% 3.82/4.07 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk4_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10635]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_474,plain,
% 3.82/4.07 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6527_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10615,plain,
% 3.82/4.07 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_474]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10616,plain,
% 3.82/4.07 ( ~ class_Groups_Ozero(X0)
% 3.82/4.07 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10615]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_471,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Rings_Olinordered__idom(X1)
% 3.82/4.07 | c_Groups_Osgn__class_Osgn(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6528_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10609,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Rings_Olinordered__idom(X1)
% 3.82/4.07 | c_Groups_Osgn__class_Osgn(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_471]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10610,plain,
% 3.82/4.07 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.07 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10609]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_468,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_RealVector_Oreal__normed__vector(X1)
% 3.82/4.07 | c_Groups_Osgn__class_Osgn(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6529_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10603,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_RealVector_Oreal__normed__vector(X1)
% 3.82/4.07 | c_Groups_Osgn__class_Osgn(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_468]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10604,plain,
% 3.82/4.07 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.82/4.07 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10603]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_465,plain,
% 3.82/4.07 ( X0 = c_Groups_Oone__class_Oone(X1)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Oone__class_Oone(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6530_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10597,plain,
% 3.82/4.07 ( X0 = c_Groups_Oone__class_Oone(X1)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X1)
% 3.82/4.07 | c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Oone__class_Oone(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_465]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10598,plain,
% 3.82/4.07 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.07 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | X1 = c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10597]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_456,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Rings_Odivision__ring__inverse__zero(X1)
% 3.82/4.07 | c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6533_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10579,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Rings_Odivision__ring__inverse__zero(X1)
% 3.82/4.07 | c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_456]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10580,plain,
% 3.82/4.07 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.82/4.07 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10579]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_453,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X1)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6534_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10573,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X1)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_453]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10574,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10573]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_450,plain,
% 3.82/4.07 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6535_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10567,plain,
% 3.82/4.07 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_450]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10568,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ozero__class_Ozero(X0) = X1
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10567]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_447,plain,
% 3.82/4.07 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Rings_Oinverse__class_Oinverse(X0,X2)
% 3.82/4.07 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6536_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10561,plain,
% 3.82/4.07 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Rings_Oinverse__class_Oinverse(X0,X2)
% 3.82/4.07 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_447]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10562,plain,
% 3.82/4.07 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.82/4.07 | c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Rings_Oinverse__class_Oinverse(X0,X2)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10561]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_444,plain,
% 3.82/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6537_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10555,plain,
% 3.82/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_444]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10556,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10555]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_441,plain,
% 3.82/4.07 ( c_Polynomial_Ocoeff(X0,X1) = c_Polynomial_Ocoeff(X0,X2)
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6538_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10549,plain,
% 3.82/4.07 ( c_Polynomial_Ocoeff(X0,X1) = c_Polynomial_Ocoeff(X0,X2)
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_441]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10550,plain,
% 3.82/4.07 ( ~ class_Groups_Ozero(X0)
% 3.82/4.07 | c_Polynomial_Ocoeff(X0,X1) = c_Polynomial_Ocoeff(X0,X2)
% 3.82/4.07 | X1 != X2 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10549]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_435,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X1,X0) != X0 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6541_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10537,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X1,X0) != X0 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_435]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10538,plain,
% 3.82/4.07 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X1) != X1
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10537]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_430,plain,
% 3.82/4.07 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Osgn__if(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6543_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10527,plain,
% 3.82/4.07 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Osgn__if(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_430]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10528,plain,
% 3.82/4.07 ( ~ class_Groups_Osgn__if(X0)
% 3.82/4.07 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10527]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_427,plain,
% 3.82/4.07 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6544_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10521,plain,
% 3.82/4.07 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_427]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10522,plain,
% 3.82/4.07 ( ~ class_Rings_Olinordered__idom(X0)
% 3.82/4.07 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10521]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_424,plain,
% 3.82/4.07 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_RealVector_Oreal__normed__vector(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6545_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10515,plain,
% 3.82/4.07 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_RealVector_Oreal__normed__vector(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_424]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10516,plain,
% 3.82/4.07 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.82/4.07 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10515]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_421,plain,
% 3.82/4.07 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.07 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6546_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10509,plain,
% 3.82/4.07 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.07 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_421]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10510,plain,
% 3.82/4.07 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.82/4.07 | c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 3.82/4.07 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10509]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_418,plain,
% 3.82/4.07 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6547_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10503,plain,
% 3.82/4.07 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_418]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10504,plain,
% 3.82/4.07 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.82/4.07 | c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10503]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_415,plain,
% 3.82/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6548_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10497,plain,
% 3.82/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_415]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10498,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10497]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_412,plain,
% 3.82/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ozero__class_Ozero(X0) != X1 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6549_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10491,plain,
% 3.82/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.82/4.07 | ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ozero__class_Ozero(X0) != X1 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_412]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10492,plain,
% 3.82/4.07 ( ~ class_Groups_Ogroup__add(X0)
% 3.82/4.07 | c_Groups_Ozero__class_Ozero(X0) != X1
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10491]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_392,plain,
% 3.82/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X1
% 3.82/4.07 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6558_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10451,plain,
% 3.82/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X1
% 3.82/4.07 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_392]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10452,plain,
% 3.82/4.07 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 3.82/4.07 | c_Groups_Ouminus__class_Ouminus(X0,X1) = X1
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10451]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_389,plain,
% 3.82/4.07 ( X0 = c_Groups_Oone__class_Oone(X1)
% 3.82/4.07 | ~ class_Groups_Oone(X1)
% 3.82/4.07 | c_Groups_Oone__class_Oone(X1) != X0 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6559_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10445,plain,
% 3.82/4.07 ( X0 = c_Groups_Oone__class_Oone(X1)
% 3.82/4.07 | ~ class_Groups_Oone(X1)
% 3.82/4.07 | c_Groups_Oone__class_Oone(X1) != X0 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_389]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10446,plain,
% 3.82/4.07 ( ~ class_Groups_Oone(X0)
% 3.82/4.07 | c_Groups_Oone__class_Oone(X0) != X1
% 3.82/4.07 | X1 = c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10445]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_386,plain,
% 3.82/4.07 ( c_Groups_Oone__class_Oone(X0) = X1
% 3.82/4.07 | ~ class_Groups_Oone(X0)
% 3.82/4.07 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6560_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10439,plain,
% 3.82/4.07 ( c_Groups_Oone__class_Oone(X0) = X1
% 3.82/4.07 | ~ class_Groups_Oone(X0)
% 3.82/4.07 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_386]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10440,plain,
% 3.82/4.07 ( ~ class_Groups_Oone(X0)
% 3.82/4.07 | c_Groups_Oone__class_Oone(X0) = X1
% 3.82/4.07 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10439]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_383,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Groups_Ozero(X1)
% 3.82/4.07 | c_Groups_Ozero__class_Ozero(X1) != X0 ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6561_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10433,plain,
% 3.82/4.07 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.82/4.07 | ~ class_Groups_Ozero(X1)
% 3.82/4.07 | c_Groups_Ozero__class_Ozero(X1) != X0 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_383]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10434,plain,
% 3.82/4.07 ( ~ class_Groups_Ozero(X0)
% 3.82/4.07 | c_Groups_Ozero__class_Ozero(X0) != X1
% 3.82/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10433]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_380,plain,
% 3.82/4.07 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6562_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10427,plain,
% 3.82/4.07 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 3.82/4.07 | ~ class_Groups_Ozero(X0)
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_380]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_10428,plain,
% 3.82/4.07 ( ~ class_Groups_Ozero(X0)
% 3.82/4.07 | c_Groups_Ozero__class_Ozero(X0) = X1
% 3.82/4.07 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_10427]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_4317,plain,
% 3.82/4.07 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X3)),c_Polynomial_Osmult(X0,c_Rings_Oinverse__class_Odivide(X0,hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_OpCons(X0,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X3))),c_Polynomial_Odegree(X0,X3)),hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3))),X3)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X2),X3)
% 3.82/4.07 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Fields_Ofield(X0) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5152_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_18301,plain,
% 3.82/4.07 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X3)),c_Polynomial_Osmult(X0,c_Rings_Oinverse__class_Odivide(X0,hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_OpCons(X0,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X3))),c_Polynomial_Odegree(X0,X3)),hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3))),X3)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X2),X3)
% 3.82/4.07 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.82/4.07 | ~ class_Fields_Ofield(X0) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_4317]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_18302,plain,
% 3.82/4.07 ( ~ class_Fields_Ofield(X0)
% 3.82/4.07 | c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X3)),c_Polynomial_Osmult(X0,c_Rings_Oinverse__class_Odivide(X0,hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_OpCons(X0,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X3))),c_Polynomial_Odegree(X0,X3)),hAPP(c_Polynomial_Ocoeff(X0,X3),c_Polynomial_Odegree(X0,X3))),X3)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X2),X3)
% 3.82/4.07 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_18301]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_4315,plain,
% 3.82/4.07 ( hAPP(hAPP(hAPP(X0,X1),X2),c_If(X3,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))),X5,c_Polynomial_Opoly__rec(X3,X4,X5,X0,X2))) = c_Polynomial_Opoly__rec(X3,X4,X5,X0,c_Polynomial_OpCons(X4,X1,X2))
% 3.82/4.07 | ~ class_Groups_Ozero(X4) ),
% 3.82/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5153_1) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_18297,plain,
% 3.82/4.07 ( hAPP(hAPP(hAPP(X0,X1),X2),c_If(X3,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))),X5,c_Polynomial_Opoly__rec(X3,X4,X5,X0,X2))) = c_Polynomial_Opoly__rec(X3,X4,X5,X0,c_Polynomial_OpCons(X4,X1,X2))
% 3.82/4.07 | ~ class_Groups_Ozero(X4) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_4315]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_18298,plain,
% 3.82/4.07 ( ~ class_Groups_Ozero(X0)
% 3.82/4.07 | hAPP(hAPP(hAPP(X1,X2),X3),c_If(X4,c_fequal(X3,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X5,c_Polynomial_Opoly__rec(X4,X0,X5,X1,X3))) = c_Polynomial_Opoly__rec(X4,X0,X5,X1,c_Polynomial_OpCons(X0,X2,X3)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_18297]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_4311,plain,
% 3.82/4.07 ( 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))
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X7,X3,X4,X5)
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X7,X6)
% 3.90/4.07 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5154_3) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18289,plain,
% 3.90/4.07 ( 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))
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X7,X3,X4,X5)
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X7,X6)
% 3.90/4.07 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4311]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18290,plain,
% 3.90/4.07 ( ~ class_Fields_Ofield(X0)
% 3.90/4.07 | 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))
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X7,X3,X4,X5)
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X7,X6) ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18289]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4303,plain,
% 3.90/4.07 ( c_Polynomial_Opoly__rec(X0,X1,X2,X3,c_Polynomial_OpCons(X1,X4,X5)) = hAPP(hAPP(hAPP(X3,X4),X5),c_Polynomial_Opoly__rec(X0,X1,X2,X3,X5))
% 3.90/4.07 | hAPP(hAPP(hAPP(X3,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) != X2
% 3.90/4.07 | ~ class_Groups_Ozero(X1) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5156_2) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18273,plain,
% 3.90/4.07 ( c_Polynomial_Opoly__rec(X0,X1,X2,X3,c_Polynomial_OpCons(X1,X4,X5)) = hAPP(hAPP(hAPP(X3,X4),X5),c_Polynomial_Opoly__rec(X0,X1,X2,X3,X5))
% 3.90/4.07 | hAPP(hAPP(hAPP(X3,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) != X2
% 3.90/4.07 | ~ class_Groups_Ozero(X1) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4303]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18274,plain,
% 3.90/4.07 ( ~ class_Groups_Ozero(X0)
% 3.90/4.07 | hAPP(hAPP(hAPP(X1,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X2) != X2
% 3.90/4.07 | c_Polynomial_Opoly__rec(X3,X0,X2,X1,c_Polynomial_OpCons(X0,X4,X5)) = hAPP(hAPP(hAPP(X1,X4),X5),c_Polynomial_Opoly__rec(X3,X0,X2,X1,X5)) ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18273]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4297,plain,
% 3.90/4.07 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.90/4.07 | ~ class_Rings_Oidom(X1)
% 3.90/4.07 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),c_Nat_OSuc(c_Polynomial_Oorder(X1,X2,X0))),X0) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5158_2) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18261,plain,
% 3.90/4.07 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.90/4.07 | ~ class_Rings_Oidom(X1)
% 3.90/4.07 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),c_Nat_OSuc(c_Polynomial_Oorder(X1,X2,X0))),X0) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4297]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18262,plain,
% 3.90/4.07 ( ~ class_Rings_Oidom(X0)
% 3.90/4.07 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),c_Nat_OSuc(c_Polynomial_Oorder(X0,X1,X2))),X2)
% 3.90/4.07 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18261]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4293,plain,
% 3.90/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3))),c_Rings_Oinverse__class_Oinverse(X0,X2))) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2)),X3)
% 3.90/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.07 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5159_3) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18253,plain,
% 3.90/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3))),c_Rings_Oinverse__class_Oinverse(X0,X2))) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2)),X3)
% 3.90/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.07 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4293]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18254,plain,
% 3.90/4.07 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.90/4.07 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3))),c_Rings_Oinverse__class_Oinverse(X0,X2))) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2)),X3)
% 3.90/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18253]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4283,plain,
% 3.90/4.07 ( ~ class_Fields_Ofield(X0)
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.90/4.07 | X4 = X5
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X6,X5) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5162_1) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18233,plain,
% 3.90/4.07 ( ~ class_Fields_Ofield(X0)
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.90/4.07 | X4 = X5
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X6,X5) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4283]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18234,plain,
% 3.90/4.07 ( ~ class_Fields_Ofield(X0)
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X5,X6)
% 3.90/4.07 | X4 = X6 ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18233]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4279,plain,
% 3.90/4.07 ( ~ class_Fields_Ofield(X0)
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.90/4.07 | X3 = X5
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X5,X6) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5163_1) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18225,plain,
% 3.90/4.07 ( ~ class_Fields_Ofield(X0)
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.90/4.07 | X3 = X5
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X5,X6) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4279]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18226,plain,
% 3.90/4.07 ( ~ class_Fields_Ofield(X0)
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X5,X6)
% 3.90/4.07 | X3 = X5 ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18225]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4275,plain,
% 3.90/4.07 ( hAPP(c_Polynomial_Ocoeff(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X0,X1,c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),X2)),X2) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.07 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5164_1) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18217,plain,
% 3.90/4.07 ( hAPP(c_Polynomial_Ocoeff(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X0,X1,c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),X2)),X2) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.07 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4275]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18218,plain,
% 3.90/4.07 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.07 | hAPP(c_Polynomial_Ocoeff(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X0,X1,c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),X2)),X2) = c_Groups_Oone__class_Oone(X0) ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18217]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4272,plain,
% 3.90/4.07 ( c_Polynomial_Opdivmod__rel(X0,c_Polynomial_Osmult(X0,X1,X2),X3,c_Polynomial_Osmult(X0,X1,X4),c_Polynomial_Osmult(X0,X1,X5))
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X2,X3,X4,X5)
% 3.90/4.07 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5165_2) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18211,plain,
% 3.90/4.07 ( c_Polynomial_Opdivmod__rel(X0,c_Polynomial_Osmult(X0,X1,X2),X3,c_Polynomial_Osmult(X0,X1,X4),c_Polynomial_Osmult(X0,X1,X5))
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X2,X3,X4,X5)
% 3.90/4.07 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4272]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18212,plain,
% 3.90/4.07 ( ~ class_Fields_Ofield(X0)
% 3.90/4.07 | c_Polynomial_Opdivmod__rel(X0,c_Polynomial_Osmult(X0,X1,X2),X3,c_Polynomial_Osmult(X0,X1,X4),c_Polynomial_Osmult(X0,X1,X5))
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X2,X3,X4,X5) ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18211]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4266,plain,
% 3.90/4.07 ( 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))
% 3.90/4.07 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5167_1) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18199,plain,
% 3.90/4.07 ( 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))
% 3.90/4.07 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4266]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18200,plain,
% 3.90/4.07 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.90/4.07 | 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)) ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18199]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4263,plain,
% 3.90/4.07 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X0,c_Polynomial_Opoly(X0,X1))
% 3.90/4.07 | c_Groups_Oplus__class_Oplus(X0,hAPP(c_Polynomial_Opoly(X0,X1),c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),sk1_esk11_2(X1,X0))),hAPP(c_Polynomial_Opoly(X0,c_Polynomial_OpCons(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0))),X2))) = hAPP(c_Polynomial_Opoly(X0,X1),X2)
% 3.90/4.07 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5168_2) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18193,plain,
% 3.90/4.07 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X0,c_Polynomial_Opoly(X0,X1))
% 3.90/4.07 | c_Groups_Oplus__class_Oplus(X0,hAPP(c_Polynomial_Opoly(X0,X1),c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),sk1_esk11_2(X1,X0))),hAPP(c_Polynomial_Opoly(X0,c_Polynomial_OpCons(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0))),X2))) = hAPP(c_Polynomial_Opoly(X0,X1),X2)
% 3.90/4.07 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4263]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18194,plain,
% 3.90/4.07 ( ~ class_Rings_Oidom(X0)
% 3.90/4.07 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X0,c_Polynomial_Opoly(X0,X1))
% 3.90/4.07 | c_Groups_Oplus__class_Oplus(X0,hAPP(c_Polynomial_Opoly(X0,X1),c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),sk1_esk11_2(X1,X0))),hAPP(c_Polynomial_Opoly(X0,c_Polynomial_OpCons(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0))),X2))) = hAPP(c_Polynomial_Opoly(X0,X1),X2) ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18193]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4261,plain,
% 3.90/4.07 ( 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)
% 3.90/4.07 | ~ class_RealVector_Oreal__field(X0) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5169_1) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18189,plain,
% 3.90/4.07 ( 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)
% 3.90/4.07 | ~ class_RealVector_Oreal__field(X0) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4261]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18190,plain,
% 3.90/4.07 ( ~ class_RealVector_Oreal__field(X0)
% 3.90/4.07 | 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) ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18189]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4259,plain,
% 3.90/4.07 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),c_Polynomial_Osynthetic__div(X0,X2,X1)),c_Polynomial_OpCons(X0,hAPP(c_Polynomial_Opoly(X0,X2),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))) = X2
% 3.90/4.07 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5170_1) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18185,plain,
% 3.90/4.07 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),c_Polynomial_Osynthetic__div(X0,X2,X1)),c_Polynomial_OpCons(X0,hAPP(c_Polynomial_Opoly(X0,X2),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))) = X2
% 3.90/4.07 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4259]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18186,plain,
% 3.90/4.07 ( ~ class_Rings_Ocomm__ring__1(X0)
% 3.90/4.07 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),c_Polynomial_Osynthetic__div(X0,X2,X1)),c_Polynomial_OpCons(X0,hAPP(c_Polynomial_Opoly(X0,X2),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))) = X2 ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18185]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4248,plain,
% 3.90/4.07 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),c_Polynomial_Oorder(X0,X1,X2)),X2)
% 3.90/4.07 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5174_1) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18163,plain,
% 3.90/4.07 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),c_Polynomial_Oorder(X0,X1,X2)),X2)
% 3.90/4.07 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4248]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18164,plain,
% 3.90/4.07 ( ~ class_Rings_Oidom(X0)
% 3.90/4.07 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),c_Polynomial_Oorder(X0,X1,X2)),X2) ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18163]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4230,plain,
% 3.90/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Ominus__class_Ominus(X0,X1,X2))),c_Rings_Oinverse__class_Oinverse(X0,X2))) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.90/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.07 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5179_3) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18127,plain,
% 3.90/4.07 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Ominus__class_Ominus(X0,X1,X2))),c_Rings_Oinverse__class_Oinverse(X0,X2))) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.90/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.07 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4230]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18128,plain,
% 3.90/4.07 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.07 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Ominus__class_Ominus(X0,X1,X2))),c_Rings_Oinverse__class_Oinverse(X0,X2))) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.90/4.07 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.07 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18127]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4227,plain,
% 3.90/4.07 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2) = X3
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.90/4.07 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5180_2) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18121,plain,
% 3.90/4.07 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2) = X3
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.90/4.07 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.07 inference(copy,[status(esa)],[c_4227]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18122,plain,
% 3.90/4.07 ( ~ class_Fields_Ofield(X0)
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.90/4.07 | c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2) = X3 ),
% 3.90/4.07 inference(rewriting,[status(thm)],[c_18121]) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_4224,plain,
% 3.90/4.07 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2) = X3
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X4,X3)
% 3.90/4.07 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.07 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5181_2) ).
% 3.90/4.07
% 3.90/4.07 cnf(c_18115,plain,
% 3.90/4.07 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2) = X3
% 3.90/4.07 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X4,X3)
% 3.90/4.08 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4224]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_18116,plain,
% 3.90/4.08 ( ~ class_Fields_Ofield(X0)
% 3.90/4.08 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2) = X4 ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_18115]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4200,plain,
% 3.90/4.08 ( c_Polynomial_Odegree(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X0,X1,c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),X2)) = X2
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5191_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_18067,plain,
% 3.90/4.08 ( c_Polynomial_Odegree(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X0,X1,c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),X2)) = X2
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4200]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_18068,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.08 | c_Polynomial_Odegree(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X0,X1,c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),X2)) = X2 ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_18067]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4176,plain,
% 3.90/4.08 ( hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Polynomial_Omonom(X0,c_Groups_Oone__class_Oone(X0),X1)),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1)),hAPP(c_Polynomial_Opoly(X0,X2),X3))
% 3.90/4.08 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5196_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_18019,plain,
% 3.90/4.08 ( hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Polynomial_Omonom(X0,c_Groups_Oone__class_Oone(X0),X1)),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1)),hAPP(c_Polynomial_Opoly(X0,X2),X3))
% 3.90/4.08 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4176]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_18020,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__ring__1(X0)
% 3.90/4.08 | hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Polynomial_Omonom(X0,c_Groups_Oone__class_Oone(X0),X1)),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1)),hAPP(c_Polynomial_Opoly(X0,X2),X3)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_18019]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4154,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2),c_Divides_Odiv__class_Omod(X0,X1,X2)),X3) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5201_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17975,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2),c_Divides_Odiv__class_Omod(X0,X1,X2)),X3) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4154]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17976,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2),c_Divides_Odiv__class_Omod(X0,X1,X2)),X3) = c_Groups_Oplus__class_Oplus(X0,X1,X3) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17975]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4141,plain,
% 3.90/4.08 ( c_Polynomial_Opoly__rec(X0,X1,X2,X3,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X2
% 3.90/4.08 | hAPP(hAPP(hAPP(X3,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) != X2
% 3.90/4.08 | ~ class_Groups_Ozero(X1) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5204_2) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17949,plain,
% 3.90/4.08 ( c_Polynomial_Opoly__rec(X0,X1,X2,X3,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X2
% 3.90/4.08 | hAPP(hAPP(hAPP(X3,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) != X2
% 3.90/4.08 | ~ class_Groups_Ozero(X1) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4141]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17950,plain,
% 3.90/4.08 ( ~ class_Groups_Ozero(X0)
% 3.90/4.08 | hAPP(hAPP(hAPP(X1,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X2) != X2
% 3.90/4.08 | c_Polynomial_Opoly__rec(X3,X0,X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X2 ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17949]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4139,plain,
% 3.90/4.08 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2))
% 3.90/4.08 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5205_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17945,plain,
% 3.90/4.08 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2))
% 3.90/4.08 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4139]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17946,plain,
% 3.90/4.08 ( ~ class_Fields_Ofield(X0)
% 3.90/4.08 | c_Polynomial_Opdivmod__rel(X0,X1,X2,c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17945]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4136,plain,
% 3.90/4.08 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2))
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X3)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X3)),X2)) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5207_2) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17939,plain,
% 3.90/4.08 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2))
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X3)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X3)),X2)) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4136]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17940,plain,
% 3.90/4.08 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)),X4))
% 3.90/4.08 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X4))
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X3) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17939]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4132,plain,
% 3.90/4.08 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Rings_Oinverse__class_Oinverse(X0,X1))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5208_3) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17931,plain,
% 3.90/4.08 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Rings_Oinverse__class_Oinverse(X0,X1))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4132]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17932,plain,
% 3.90/4.08 ( ~ class_Fields_Ofield(X0)
% 3.90/4.08 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Rings_Oinverse__class_Oinverse(X0,X1))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17931]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4115,plain,
% 3.90/4.08 ( 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)))
% 3.90/4.08 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5211_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17897,plain,
% 3.90/4.08 ( 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)))
% 3.90/4.08 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4115]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17898,plain,
% 3.90/4.08 ( ~ class_Fields_Ofield(X0)
% 3.90/4.08 | 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))) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17897]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4099,plain,
% 3.90/4.08 ( 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)
% 3.90/4.08 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5216_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17865,plain,
% 3.90/4.08 ( 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)
% 3.90/4.08 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4099]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17866,plain,
% 3.90/4.08 ( ~ class_Fields_Ofield(X0)
% 3.90/4.08 | 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) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17865]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4061,plain,
% 3.90/4.08 ( 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))
% 3.90/4.08 | ~ class_Rings_Oring(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5225_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17789,plain,
% 3.90/4.08 ( 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))
% 3.90/4.08 | ~ class_Rings_Oring(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4061]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17790,plain,
% 3.90/4.08 ( ~ class_Rings_Oring(X0)
% 3.90/4.08 | 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)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17789]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4049,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0),X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5228_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17765,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0),X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4049]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17766,plain,
% 3.90/4.08 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1),X0)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17765]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4041,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Omod(X0,X2,X1)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,X3)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5231_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17749,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Omod(X0,X2,X1)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,X3)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4041]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17750,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Omod(X0,X2,X1)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,X3) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17749]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4039,plain,
% 3.90/4.08 ( 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)
% 3.90/4.08 | ~ class_Rings_Osemiring(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5232_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17745,plain,
% 3.90/4.08 ( 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)
% 3.90/4.08 | ~ class_Rings_Osemiring(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4039]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17746,plain,
% 3.90/4.08 ( ~ class_Rings_Osemiring(X0)
% 3.90/4.08 | 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) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17745]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4032,plain,
% 3.90/4.08 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Ominus__class_Ominus(X0,X2,X1))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5234_3) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17731,plain,
% 3.90/4.08 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Ominus__class_Ominus(X0,X2,X1))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4032]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17732,plain,
% 3.90/4.08 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.08 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Ominus__class_Ominus(X0,X2,X1))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17731]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4028,plain,
% 3.90/4.08 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Oplus__class_Oplus(X0,X1,X2))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5235_3) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17723,plain,
% 3.90/4.08 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Oplus__class_Oplus(X0,X1,X2))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4028]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17724,plain,
% 3.90/4.08 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.08 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Groups_Oplus__class_Oplus(X0,X1,X2))),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17723]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4011,plain,
% 3.90/4.08 ( 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),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X0)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5238_2) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17689,plain,
% 3.90/4.08 ( 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),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X0)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4011]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17690,plain,
% 3.90/4.08 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.08 | 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),X1),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X0)),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X1) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17689]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4009,plain,
% 3.90/4.08 ( hAPP(c_Polynomial_Ocoeff(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))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1))),hAPP(c_Polynomial_Ocoeff(X0,X2),c_Polynomial_Odegree(X0,X2)))
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5241_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17685,plain,
% 3.90/4.08 ( hAPP(c_Polynomial_Ocoeff(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))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1))),hAPP(c_Polynomial_Ocoeff(X0,X2),c_Polynomial_Odegree(X0,X2)))
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4009]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17686,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.08 | hAPP(c_Polynomial_Ocoeff(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))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1))),hAPP(c_Polynomial_Ocoeff(X0,X2),c_Polynomial_Odegree(X0,X2))) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17685]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_4002,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X2)),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5244_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17671,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X2)),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_4002]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17672,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X2)),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17671]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3998,plain,
% 3.90/4.08 ( 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),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5245_3) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17663,plain,
% 3.90/4.08 ( 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),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3998]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17664,plain,
% 3.90/4.08 ( ~ class_Fields_Ofield(X0)
% 3.90/4.08 | 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),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17663]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3994,plain,
% 3.90/4.08 ( c_Rings_Oinverse__class_Odivide(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)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5246_3) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17655,plain,
% 3.90/4.08 ( c_Rings_Oinverse__class_Odivide(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)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3994]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17656,plain,
% 3.90/4.08 ( ~ class_Fields_Ofield(X0)
% 3.90/4.08 | c_Rings_Oinverse__class_Odivide(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)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17655]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3991,plain,
% 3.90/4.08 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.90/4.08 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk27_3(X1,X0,X2))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5247_2) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17649,plain,
% 3.90/4.08 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.90/4.08 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk27_3(X1,X0,X2))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3991]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3988,plain,
% 3.90/4.08 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.90/4.08 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk25_3(X1,X0,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5248_2) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17643,plain,
% 3.90/4.08 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 3.90/4.08 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk25_3(X1,X0,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3988]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3932,plain,
% 3.90/4.08 ( 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))
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5258_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17531,plain,
% 3.90/4.08 ( 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))
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3932]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17532,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.08 | 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)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17531]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3930,plain,
% 3.90/4.08 ( ~ 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))
% 3.90/4.08 | ~ class_Rings_Olinordered__ring(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5259_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17527,plain,
% 3.90/4.08 ( ~ 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))
% 3.90/4.08 | ~ class_Rings_Olinordered__ring(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3930]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17528,plain,
% 3.90/4.08 ( ~ class_Rings_Olinordered__ring(X0)
% 3.90/4.08 | ~ 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)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17527]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3928,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),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_Polynomial_OpCons(X0,X1,X3)),X2)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5260_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17523,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),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_Polynomial_OpCons(X0,X1,X3)),X2)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3928]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17524,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),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_Polynomial_OpCons(X0,X1,X3)),X2) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17523]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3923,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X1)),c_Polynomial_OpCons(X0,X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X1))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Polynomial_OpCons(X0,X3,X2),X1)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5262_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17513,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X1)),c_Polynomial_OpCons(X0,X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X1))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Polynomial_OpCons(X0,X3,X2),X1)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3923]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17514,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X1)),c_Polynomial_OpCons(X0,X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X1))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Polynomial_OpCons(X0,X3,X2),X1) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17513]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3888,plain,
% 3.90/4.08 ( 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)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 3.90/4.08 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5267_2) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17443,plain,
% 3.90/4.08 ( 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)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 3.90/4.08 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3888]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17444,plain,
% 3.90/4.08 ( ~ class_Groups_Omonoid__mult(X0)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.08 | 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) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17443]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3875,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.08 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Odiv(X0,X3,X4))
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X4,X3) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5271_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17417,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.08 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Odiv(X0,X3,X4))
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X4,X3) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3875]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17418,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X4)
% 3.90/4.08 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Odiv(X0,X4,X3)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17417]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3871,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),c_Polynomial_OpCons(X0,X1,X3))
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5273_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17409,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),c_Polynomial_OpCons(X0,X1,X3))
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3871]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17410,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),c_Polynomial_OpCons(X0,X1,X3)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17409]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3869,plain,
% 3.90/4.08 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ouminus__class_Ouminus(X0,X2)),X1)
% 3.90/4.08 | ~ class_Rings_Oring__1(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5274_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17405,plain,
% 3.90/4.08 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ouminus__class_Ouminus(X0,X2)),X1)
% 3.90/4.08 | ~ class_Rings_Oring__1(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3869]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17406,plain,
% 3.90/4.08 ( ~ class_Rings_Oring__1(X0)
% 3.90/4.08 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ouminus__class_Ouminus(X0,X2)),X1) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17405]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3841,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 3.90/4.08 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5281_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17349,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 3.90/4.08 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3841]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17350,plain,
% 3.90/4.08 ( ~ class_Divides_Oring__div(X0)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17349]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3839,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5282_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17345,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3839]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17346,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17345]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3832,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X2)),X3),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5285_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17331,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X2)),X3),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3832]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17332,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X2)),X3),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17331]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3830,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),c_Polynomial_Opcompose(X0,X3,X2))) = c_Polynomial_Opcompose(X0,c_Polynomial_OpCons(X0,X1,X3),X2)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5286_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17327,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),c_Polynomial_Opcompose(X0,X3,X2))) = c_Polynomial_Opcompose(X0,c_Polynomial_OpCons(X0,X1,X3),X2)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3830]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17328,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),c_Polynomial_Opcompose(X0,X3,X2))) = c_Polynomial_Opcompose(X0,c_Polynomial_OpCons(X0,X1,X3),X2) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17327]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3827,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.90/4.08 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5287_2) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17321,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.90/4.08 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3827]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3824,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))),X2)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.90/4.08 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5288_2) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17315,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))),X2)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.90/4.08 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3824]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3822,plain,
% 3.90/4.08 ( 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)))
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5289_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17311,plain,
% 3.90/4.08 ( 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)))
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3822]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17312,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.08 | 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))) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17311]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3820,plain,
% 3.90/4.08 ( 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))
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5290_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17307,plain,
% 3.90/4.08 ( 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))
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3820]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17308,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.08 | 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)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17307]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3800,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2)) = X1
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5296_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17267,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2)) = X1
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3800]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17268,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2)) = X1 ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17267]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3798,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2),c_Divides_Odiv__class_Omod(X0,X1,X2)) = X1
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5297_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17263,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2),c_Divides_Odiv__class_Omod(X0,X1,X2)) = X1
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3798]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17264,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2),c_Divides_Odiv__class_Omod(X0,X1,X2)) = X1 ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17263]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3796,plain,
% 3.90/4.08 ( 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)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5299_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17259,plain,
% 3.90/4.08 ( 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)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3796]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17260,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.08 | 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) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17259]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3780,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X4,X5),X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 3.90/4.08 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5304_3) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17227,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X4,X5),X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 3.90/4.08 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3780]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17228,plain,
% 3.90/4.08 ( ~ class_Divides_Oring__div(X0)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X4,X5),X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17227]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3776,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X4,X5),X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5305_3) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17219,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X4,X5),X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3776]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17220,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X4,X5),X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17219]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3771,plain,
% 3.90/4.08 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Polynomial_Omonom(X0,X1,X2)),c_Polynomial_Omonom(X0,X3,X4)) = c_Polynomial_Omonom(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X4))
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5307_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17209,plain,
% 3.90/4.08 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Polynomial_Omonom(X0,X1,X2)),c_Polynomial_Omonom(X0,X3,X4)) = c_Polynomial_Omonom(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X4))
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3771]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17210,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.08 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Polynomial_Omonom(X0,X1,X2)),c_Polynomial_Omonom(X0,X3,X4)) = c_Polynomial_Omonom(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X4)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17209]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3767,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5),X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5308_3) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17201,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5),X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3767]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17202,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5),X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17201]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3763,plain,
% 3.90/4.08 ( 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))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.08 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5309_3) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17193,plain,
% 3.90/4.08 ( 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))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.08 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3763]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17194,plain,
% 3.90/4.08 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.08 | 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))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17193]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3756,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.90/4.08 | ~ 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)) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5311_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17179,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.90/4.08 | ~ 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)) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3756]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17180,plain,
% 3.90/4.08 ( ~ 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))
% 3.90/4.08 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17179]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3754,plain,
% 3.90/4.08 ( c_Rings_Oinverse__class_Odivide(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),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),c_Rings_Oinverse__class_Odivide(X0,X2,X4))
% 3.90/4.08 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5312_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17175,plain,
% 3.90/4.08 ( c_Rings_Oinverse__class_Odivide(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),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),c_Rings_Oinverse__class_Odivide(X0,X2,X4))
% 3.90/4.08 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3754]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17176,plain,
% 3.90/4.08 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.90/4.08 | c_Rings_Oinverse__class_Odivide(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),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),c_Rings_Oinverse__class_Odivide(X0,X2,X4)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17175]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3752,plain,
% 3.90/4.08 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Polynomial_Opoly(X0,X1),X2)),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X3)),X2)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5313_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17171,plain,
% 3.90/4.08 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Polynomial_Opoly(X0,X1),X2)),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X3)),X2)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3752]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17172,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.08 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Polynomial_Opoly(X0,X1),X2)),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X3)),X2) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17171]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3750,plain,
% 3.90/4.08 ( 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)
% 3.90/4.08 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5314_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17167,plain,
% 3.90/4.08 ( 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)
% 3.90/4.08 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3750]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3708,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X2,c_Polynomial_Osynthetic__div(X0,X1,X2))) = c_Polynomial_OpCons(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2),c_Polynomial_Osynthetic__div(X0,X1,X2))
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5322_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17083,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X2,c_Polynomial_Osynthetic__div(X0,X1,X2))) = c_Polynomial_OpCons(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2),c_Polynomial_Osynthetic__div(X0,X1,X2))
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3708]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17084,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X2,c_Polynomial_Osynthetic__div(X0,X1,X2))) = c_Polynomial_OpCons(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2),c_Polynomial_Osynthetic__div(X0,X1,X2)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17083]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3703,plain,
% 3.90/4.08 ( 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)
% 3.90/4.08 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5324_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17073,plain,
% 3.90/4.08 ( 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)
% 3.90/4.08 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3703]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17074,plain,
% 3.90/4.08 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 3.90/4.08 | 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) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17073]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3701,plain,
% 3.90/4.08 ( 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)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5325_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17069,plain,
% 3.90/4.08 ( 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)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3701]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17070,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.08 | 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) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17069]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3698,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Odiv(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_Divides_Odiv__class_Odiv(X0,X1,X3)),X2)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5326_2) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17063,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Odiv(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_Divides_Odiv__class_Odiv(X0,X1,X3)),X2)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1)
% 3.90/4.08 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3698]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17064,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.08 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Divides_Odiv__class_Odiv(X0,X2,X1)),X3) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17063]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3696,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X2,X1),c_Divides_Odiv__class_Odiv(X0,X3,X1)) = c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X2,X3),X1)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5328_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17059,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X2,X1),c_Divides_Odiv__class_Odiv(X0,X3,X1)) = c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X2,X3),X1)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3696]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17060,plain,
% 3.90/4.08 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X2,X1),c_Divides_Odiv__class_Odiv(X0,X3,X1)) = c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X2,X3),X1) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17059]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3685,plain,
% 3.90/4.08 ( 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)))
% 3.90/4.08 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5331_2) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17037,plain,
% 3.90/4.08 ( 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)))
% 3.90/4.08 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3685]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17038,plain,
% 3.90/4.08 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.90/4.08 | 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)))
% 3.90/4.08 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17037]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3682,plain,
% 3.90/4.08 ( 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)))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5332_2) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17031,plain,
% 3.90/4.08 ( 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)))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.08 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3682]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17032,plain,
% 3.90/4.08 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.90/4.08 | 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)))
% 3.90/4.08 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17031]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3680,plain,
% 3.90/4.08 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5333_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17027,plain,
% 3.90/4.08 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.08 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3680]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17028,plain,
% 3.90/4.08 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2)))
% 3.90/4.08 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17027]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3678,plain,
% 3.90/4.08 ( 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))
% 3.90/4.08 | ~ class_Rings_Oring__1(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5334_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17023,plain,
% 3.90/4.08 ( 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))
% 3.90/4.08 | ~ class_Rings_Oring__1(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3678]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_17024,plain,
% 3.90/4.08 ( ~ class_Rings_Oring__1(X0)
% 3.90/4.08 | 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)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_17023]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3664,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3)
% 3.90/4.08 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5337_3) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16995,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3)
% 3.90/4.08 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3664]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16996,plain,
% 3.90/4.08 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.08 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_16995]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3660,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3)
% 3.90/4.08 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5338_3) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16987,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3)
% 3.90/4.08 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3660]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16988,plain,
% 3.90/4.08 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 3.90/4.08 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_16987]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3658,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(c_Polynomial_Opoly(X0,X3),X2))) = hAPP(c_Polynomial_Opoly(X0,c_Polynomial_OpCons(X0,X1,X3)),X2)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5339_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16983,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(c_Polynomial_Opoly(X0,X3),X2))) = hAPP(c_Polynomial_Opoly(X0,c_Polynomial_OpCons(X0,X1,X3)),X2)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3658]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16984,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(c_Polynomial_Opoly(X0,X3),X2))) = hAPP(c_Polynomial_Opoly(X0,c_Polynomial_OpCons(X0,X1,X3)),X2) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_16983]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3615,plain,
% 3.90/4.08 ( 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)))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.08 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5348_2) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16897,plain,
% 3.90/4.08 ( 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)))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.08 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3615]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16898,plain,
% 3.90/4.08 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.08 | 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))) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_16897]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3611,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.90/4.08 | ~ 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))
% 3.90/4.08 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5349_3) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16889,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.90/4.08 | ~ 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))
% 3.90/4.08 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3611]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16890,plain,
% 3.90/4.08 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.90/4.08 | ~ 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))
% 3.90/4.08 | c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_16889]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3607,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.90/4.08 | ~ 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))
% 3.90/4.08 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5350_3) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16881,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.90/4.08 | ~ 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))
% 3.90/4.08 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3607]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16882,plain,
% 3.90/4.08 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.90/4.08 | ~ 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))
% 3.90/4.08 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_16881]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3567,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 3.90/4.08 | ~ class_Rings_Olinordered__semidom(X2)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 3.90/4.08 | ~ 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)) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5360_3) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16801,plain,
% 3.90/4.08 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 3.90/4.08 | ~ class_Rings_Olinordered__semidom(X2)
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 3.90/4.08 | ~ 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)) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3567]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16802,plain,
% 3.90/4.08 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.08 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 3.90/4.08 | ~ 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))
% 3.90/4.08 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_16801]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3557,plain,
% 3.90/4.08 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X2),c_Polynomial_OpCons(X0,X3,X4)) = c_Polynomial_OpCons(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X2,X4))
% 3.90/4.08 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5363_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16781,plain,
% 3.90/4.08 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X2),c_Polynomial_OpCons(X0,X3,X4)) = c_Polynomial_OpCons(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X2,X4))
% 3.90/4.08 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3557]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16782,plain,
% 3.90/4.08 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.08 | c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X2),c_Polynomial_OpCons(X0,X3,X4)) = c_Polynomial_OpCons(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X2,X4)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_16781]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3555,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X2),c_Polynomial_OpCons(X0,X3,X4)) = c_Polynomial_OpCons(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X2,X4))
% 3.90/4.08 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5364_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16777,plain,
% 3.90/4.08 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X2),c_Polynomial_OpCons(X0,X3,X4)) = c_Polynomial_OpCons(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X2,X4))
% 3.90/4.08 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3555]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16778,plain,
% 3.90/4.08 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 3.90/4.08 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X2),c_Polynomial_OpCons(X0,X3,X4)) = c_Polynomial_OpCons(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X2,X4)) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_16777]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3553,plain,
% 3.90/4.08 ( hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_Polynomial_Opoly(X0,X1),X3)),X2)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5365_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16773,plain,
% 3.90/4.08 ( hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_Polynomial_Opoly(X0,X1),X3)),X2)
% 3.90/4.08 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3553]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16774,plain,
% 3.90/4.08 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.08 | hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_Polynomial_Opoly(X0,X1),X3)),X2) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_16773]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3551,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3)
% 3.90/4.08 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5366_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16769,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3)
% 3.90/4.08 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3551]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16770,plain,
% 3.90/4.08 ( ~ class_Divides_Oring__div(X0)
% 3.90/4.08 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3) ),
% 3.90/4.08 inference(rewriting,[status(thm)],[c_16769]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_3549,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X3),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 3.90/4.08 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.08 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5367_1) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16765,plain,
% 3.90/4.08 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X3),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 3.90/4.08 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.08 inference(copy,[status(esa)],[c_3549]) ).
% 3.90/4.08
% 3.90/4.08 cnf(c_16766,plain,
% 3.90/4.08 ( ~ class_Divides_Oring__div(X0)
% 3.90/4.09 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X3),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16765]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3543,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X3),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5370_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16753,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X3),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3543]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16754,plain,
% 3.90/4.09 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.09 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X3),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16753]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3541,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5371_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16749,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3541]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16750,plain,
% 3.90/4.09 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.09 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16749]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3539,plain,
% 3.90/4.09 ( 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_Ominus__class_Ominus(X0,X1,X3),c_Groups_Ominus__class_Ominus(X0,X2,X4))
% 3.90/4.09 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5372_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16745,plain,
% 3.90/4.09 ( 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_Ominus__class_Ominus(X0,X1,X3),c_Groups_Ominus__class_Ominus(X0,X2,X4))
% 3.90/4.09 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3539]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16746,plain,
% 3.90/4.09 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.09 | 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_Ominus__class_Ominus(X0,X1,X3),c_Groups_Ominus__class_Ominus(X0,X2,X4)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16745]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3537,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5373_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16741,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3537]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16742,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.09 | 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)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16741]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3532,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 3.90/4.09 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5374_4) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16731,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 3.90/4.09 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3532]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16732,plain,
% 3.90/4.09 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.90/4.09 | 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Oone__class_Oone(X0)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16731]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3527,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
% 3.90/4.09 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5375_4) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16721,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
% 3.90/4.09 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3527]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16722,plain,
% 3.90/4.09 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.90/4.09 | 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Oone__class_Oone(X0)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16721]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3520,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5377_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16707,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3520]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16708,plain,
% 3.90/4.09 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.09 | 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))
% 3.90/4.09 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16707]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3517,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5378_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16701,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3517]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16702,plain,
% 3.90/4.09 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.09 | 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))
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16701]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3514,plain,
% 3.90/4.09 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5379_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16695,plain,
% 3.90/4.09 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3514]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16696,plain,
% 3.90/4.09 ( ~ class_Fields_Ofield(X0)
% 3.90/4.09 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16695]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3511,plain,
% 3.90/4.09 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),X1) = c_Groups_Ominus__class_Ominus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.90/4.09 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5380_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16689,plain,
% 3.90/4.09 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),X1) = c_Groups_Ominus__class_Ominus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.90/4.09 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3511]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16690,plain,
% 3.90/4.09 ( ~ class_Fields_Ofield(X0)
% 3.90/4.09 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),X1) = c_Groups_Ominus__class_Ominus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.90/4.09 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16689]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3508,plain,
% 3.90/4.09 ( c_Rings_Oinverse__class_Odivide(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,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5381_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16683,plain,
% 3.90/4.09 ( c_Rings_Oinverse__class_Odivide(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,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3508]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16684,plain,
% 3.90/4.09 ( ~ class_Fields_Ofield(X0)
% 3.90/4.09 | c_Rings_Oinverse__class_Odivide(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,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16683]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3505,plain,
% 3.90/4.09 ( c_Rings_Oinverse__class_Odivide(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,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 3.90/4.09 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5382_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16677,plain,
% 3.90/4.09 ( c_Rings_Oinverse__class_Odivide(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,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 3.90/4.09 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3505]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16678,plain,
% 3.90/4.09 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.90/4.09 | c_Rings_Oinverse__class_Odivide(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,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 3.90/4.09 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16677]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3502,plain,
% 3.90/4.09 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),X1) = c_Groups_Oplus__class_Oplus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.90/4.09 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5383_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16671,plain,
% 3.90/4.09 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),X1) = c_Groups_Oplus__class_Oplus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.90/4.09 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3502]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16672,plain,
% 3.90/4.09 ( ~ class_Fields_Ofield(X0)
% 3.90/4.09 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),X1) = c_Groups_Oplus__class_Oplus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.90/4.09 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16671]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3499,plain,
% 3.90/4.09 ( c_Rings_Oinverse__class_Odivide(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_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 3.90/4.09 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5384_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16665,plain,
% 3.90/4.09 ( c_Rings_Oinverse__class_Odivide(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_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 3.90/4.09 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3499]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16666,plain,
% 3.90/4.09 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.90/4.09 | c_Rings_Oinverse__class_Odivide(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_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 3.90/4.09 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16665]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3496,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5385_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16659,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3496]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16660,plain,
% 3.90/4.09 ( ~ class_Fields_Ofield(X0)
% 3.90/4.09 | 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)
% 3.90/4.09 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16659]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3481,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5389_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16629,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3481]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16630,plain,
% 3.90/4.09 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.09 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16629]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3479,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(X0,X1,X3)),X2)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5390_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16625,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(X0,X1,X3)),X2)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3479]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16626,plain,
% 3.90/4.09 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.09 | c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(X0,X1,X3)),X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16625]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3477,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5391_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16621,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3477]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16622,plain,
% 3.90/4.09 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.90/4.09 | 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) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16621]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3473,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5393_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16613,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3473]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16614,plain,
% 3.90/4.09 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.90/4.09 | 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) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16613]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3469,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5395_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16605,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3469]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16606,plain,
% 3.90/4.09 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.90/4.09 | 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) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16605]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3467,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5396_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16601,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3467]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16602,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring(X0)
% 3.90/4.09 | 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) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16601]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3463,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5398_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16593,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3463]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16594,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.09 | 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) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16593]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3425,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5409_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16517,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3425]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16518,plain,
% 3.90/4.09 ( ~ class_Groups_Omonoid__mult(X0)
% 3.90/4.09 | 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)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16517]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3423,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5410_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16513,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3423]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16514,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.09 | 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)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16513]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3421,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5413_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16509,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3421]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16510,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.09 | 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) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16509]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3418,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X3)),X2)
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5414_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16503,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X3)),X2)
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X1)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3418]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16504,plain,
% 3.90/4.09 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.09 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X2,X1)),X3) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16503]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3415,plain,
% 3.90/4.09 ( hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Opoly__gcd(X0,X1,X2)),c_Polynomial_Odegree(X0,c_Polynomial_Opoly__gcd(X0,X1,X2))) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.09 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5415_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16497,plain,
% 3.90/4.09 ( hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Opoly__gcd(X0,X1,X2)),c_Polynomial_Odegree(X0,c_Polynomial_Opoly__gcd(X0,X1,X2))) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.09 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3415]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16498,plain,
% 3.90/4.09 ( ~ class_Fields_Ofield(X0)
% 3.90/4.09 | hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Opoly__gcd(X0,X1,X2)),c_Polynomial_Odegree(X0,c_Polynomial_Opoly__gcd(X0,X1,X2))) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.09 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16497]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3412,plain,
% 3.90/4.09 ( hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Opoly__gcd(X0,X1,X2)),c_Polynomial_Odegree(X0,c_Polynomial_Opoly__gcd(X0,X1,X2))) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5416_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16491,plain,
% 3.90/4.09 ( hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Opoly__gcd(X0,X1,X2)),c_Polynomial_Odegree(X0,c_Polynomial_Opoly__gcd(X0,X1,X2))) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3412]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16492,plain,
% 3.90/4.09 ( ~ class_Fields_Ofield(X0)
% 3.90/4.09 | hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Opoly__gcd(X0,X1,X2)),c_Polynomial_Odegree(X0,c_Polynomial_Opoly__gcd(X0,X1,X2))) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16491]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3404,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.90/4.09 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5418_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16475,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.90/4.09 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3404]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16476,plain,
% 3.90/4.09 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),X3)
% 3.90/4.09 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 3.90/4.09 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16475]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3384,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.90/4.09 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5423_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16435,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 3.90/4.09 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3384]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16436,plain,
% 3.90/4.09 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 3.90/4.09 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 3.90/4.09 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16435]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3345,plain,
% 3.90/4.09 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(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)) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5433_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16357,plain,
% 3.90/4.09 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(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)) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3345]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16358,plain,
% 3.90/4.09 ( ~ c_Rings_Odvd__class_Odvd(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))
% 3.90/4.09 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16357]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3342,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.09 | ~ 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5434_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16351,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.09 | ~ 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3342]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16352,plain,
% 3.90/4.09 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.09 | ~ 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))
% 3.90/4.09 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16351]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3337,plain,
% 3.90/4.09 ( c_Polynomial_Osmult(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Polynomial_Osmult(X0,X1,X2)),X3)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5436_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16341,plain,
% 3.90/4.09 ( c_Polynomial_Osmult(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Polynomial_Osmult(X0,X1,X2)),X3)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3337]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16342,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.09 | c_Polynomial_Osmult(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Polynomial_Osmult(X0,X1,X2)),X3) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16341]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3335,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.09 | ~ 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)) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5437_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16337,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.09 | ~ 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)) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3335]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16338,plain,
% 3.90/4.09 ( ~ 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))
% 3.90/4.09 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16337]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3333,plain,
% 3.90/4.09 ( c_Groups_Ominus__class_Ominus(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),X2),hAPP(c_Polynomial_Ocoeff(X0,X3),X2)) = hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 3.90/4.09 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5438_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16333,plain,
% 3.90/4.09 ( c_Groups_Ominus__class_Ominus(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),X2),hAPP(c_Polynomial_Ocoeff(X0,X3),X2)) = hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 3.90/4.09 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3333]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16334,plain,
% 3.90/4.09 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.09 | c_Groups_Ominus__class_Ominus(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),X2),hAPP(c_Polynomial_Ocoeff(X0,X3),X2)) = hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X3)),X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16333]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3331,plain,
% 3.90/4.09 ( c_Groups_Ominus__class_Ominus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 3.90/4.09 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5439_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16329,plain,
% 3.90/4.09 ( c_Groups_Ominus__class_Ominus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 3.90/4.09 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3331]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16330,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__ring(X0)
% 3.90/4.09 | c_Groups_Ominus__class_Ominus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X3)),X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16329]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3329,plain,
% 3.90/4.09 ( c_Groups_Oplus__class_Oplus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5440_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16325,plain,
% 3.90/4.09 ( c_Groups_Oplus__class_Oplus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3329]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16326,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16325]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3327,plain,
% 3.90/4.09 ( c_Groups_Oplus__class_Oplus(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),X2),hAPP(c_Polynomial_Ocoeff(X0,X3),X2)) = hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 3.90/4.09 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5441_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16321,plain,
% 3.90/4.09 ( c_Groups_Oplus__class_Oplus(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),X2),hAPP(c_Polynomial_Ocoeff(X0,X3),X2)) = hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 3.90/4.09 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3327]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16322,plain,
% 3.90/4.09 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),X2),hAPP(c_Polynomial_Ocoeff(X0,X3),X2)) = hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16321]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3318,plain,
% 3.90/4.09 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 3.90/4.09 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5444_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16303,plain,
% 3.90/4.09 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 3.90/4.09 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3318]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3310,plain,
% 3.90/4.09 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Omod(X0,X2,X1)) = X2
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5454_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16287,plain,
% 3.90/4.09 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Omod(X0,X2,X1)) = X2
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3310]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16288,plain,
% 3.90/4.09 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Omod(X0,X2,X1)) = X2 ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16287]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3301,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.90/4.09 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2)) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5457_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16269,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.90/4.09 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2)) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3301]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16270,plain,
% 3.90/4.09 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.90/4.09 | c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16269]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3298,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.90/4.09 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5458_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16263,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.90/4.09 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3298]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16264,plain,
% 3.90/4.09 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.90/4.09 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16263]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3289,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.90/4.09 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5461_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16245,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.90/4.09 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3289]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16246,plain,
% 3.90/4.09 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.90/4.09 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16245]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3286,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.90/4.09 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5462_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16239,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.90/4.09 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3286]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16240,plain,
% 3.90/4.09 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.90/4.09 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16239]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3272,plain,
% 3.90/4.09 ( 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)))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.09 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5466_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16211,plain,
% 3.90/4.09 ( 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)))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.09 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3272]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16212,plain,
% 3.90/4.09 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.09 | 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)))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16211]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3265,plain,
% 3.90/4.09 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X0,c_Polynomial_Opoly(X0,X1))
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,sk1_esk13_2(X1,X0)),sk1_esk11_2(X1,X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1)
% 3.90/4.09 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5468_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16197,plain,
% 3.90/4.09 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X0,c_Polynomial_Opoly(X0,X1))
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,sk1_esk13_2(X1,X0)),sk1_esk11_2(X1,X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1)
% 3.90/4.09 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3265]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16198,plain,
% 3.90/4.09 ( ~ class_Rings_Oidom(X0)
% 3.90/4.09 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X0,c_Polynomial_Opoly(X0,X1))
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,sk1_esk13_2(X1,X0)),sk1_esk11_2(X1,X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16197]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3263,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5469_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16193,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3263]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3253,plain,
% 3.90/4.09 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_OpCons(X1,X3,X0)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__0(X1) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5472_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16173,plain,
% 3.90/4.09 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_OpCons(X1,X3,X0)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__0(X1) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3253]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16174,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_OpCons(X0,X3,X2)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16173]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3244,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.09 | ~ 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)) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5474_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16155,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.09 | ~ 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)) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3244]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16156,plain,
% 3.90/4.09 ( ~ 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))
% 3.90/4.09 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16155]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3242,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5475_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16151,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3242]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16152,plain,
% 3.90/4.09 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.90/4.09 | 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) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16151]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3238,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 3.90/4.09 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5476_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16143,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 3.90/4.09 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3238]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3230,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 3.90/4.09 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5478_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16127,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 3.90/4.09 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3230]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3223,plain,
% 3.90/4.09 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk19_3(X2,X1,X0)) = X1
% 3.90/4.09 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5480_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16113,plain,
% 3.90/4.09 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk19_3(X2,X1,X0)) = X1
% 3.90/4.09 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3223]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16114,plain,
% 3.90/4.09 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 3.90/4.09 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk19_3(X2,X1,X0)) = X1 ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16113]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3220,plain,
% 3.90/4.09 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk18_3(X2,X1,X0)) = X1
% 3.90/4.09 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5481_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16107,plain,
% 3.90/4.09 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk18_3(X2,X1,X0)) = X1
% 3.90/4.09 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3220]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16108,plain,
% 3.90/4.09 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 3.90/4.09 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk18_3(X2,X1,X0)) = X1 ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16107]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3218,plain,
% 3.90/4.09 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X1,X3)) = c_Polynomial_Osmult(X0,X1,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X2,X3))
% 3.90/4.09 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5483_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16103,plain,
% 3.90/4.09 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X1,X3)) = c_Polynomial_Osmult(X0,X1,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X2,X3))
% 3.90/4.09 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3218]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16104,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__ring(X0)
% 3.90/4.09 | c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X1,X3)) = c_Polynomial_Osmult(X0,X1,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X2,X3)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16103]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3216,plain,
% 3.90/4.09 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X1,X3)) = c_Polynomial_Osmult(X0,X1,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X2,X3))
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5484_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16099,plain,
% 3.90/4.09 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X1,X3)) = c_Polynomial_Osmult(X0,X1,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X2,X3))
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3216]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16100,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X1,X3)) = c_Polynomial_Osmult(X0,X1,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X2,X3)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16099]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3214,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5485_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16095,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3214]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16096,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.09 | 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) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16095]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3212,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5486_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16091,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3212]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16092,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.09 | 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) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16091]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3209,plain,
% 3.90/4.09 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.90/4.09 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk19_3(X2,X1,X0)) = X1 ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5487_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16085,plain,
% 3.90/4.09 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.90/4.09 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk19_3(X2,X1,X0)) = X1 ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3209]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3206,plain,
% 3.90/4.09 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.90/4.09 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk18_3(X2,X1,X0)) = X1 ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5488_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16079,plain,
% 3.90/4.09 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 3.90/4.09 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk18_3(X2,X1,X0)) = X1 ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3206]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3178,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 3.90/4.09 | ~ class_Rings_Oordered__ring(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5495_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16023,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 3.90/4.09 | ~ class_Rings_Oordered__ring(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3178]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16024,plain,
% 3.90/4.09 ( ~ class_Rings_Oordered__ring(X0)
% 3.90/4.09 | 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16023]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3174,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 3.90/4.09 | ~ class_Rings_Oordered__ring(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5496_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16015,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 3.90/4.09 | ~ class_Rings_Oordered__ring(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3174]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_16016,plain,
% 3.90/4.09 ( ~ class_Rings_Oordered__ring(X0)
% 3.90/4.09 | 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_16015]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3134,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 3.90/4.09 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5506_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15935,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 3.90/4.09 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3134]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15936,plain,
% 3.90/4.09 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.90/4.09 | 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15935]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3130,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 3.90/4.09 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5507_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15927,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 3.90/4.09 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3130]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15928,plain,
% 3.90/4.09 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.90/4.09 | 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15927]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3122,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.90/4.09 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5509_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15911,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.90/4.09 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3122]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15912,plain,
% 3.90/4.09 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.90/4.09 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15911]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3118,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.90/4.09 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5510_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15903,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.90/4.09 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3118]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15904,plain,
% 3.90/4.09 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 3.90/4.09 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15903]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3114,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.90/4.09 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5511_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15895,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.90/4.09 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3114]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15896,plain,
% 3.90/4.09 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 3.90/4.09 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15895]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3106,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 3.90/4.09 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5513_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15879,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 3.90/4.09 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3106]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15880,plain,
% 3.90/4.09 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X3)
% 3.90/4.09 | 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)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15879]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3098,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5515_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15863,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3098]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15864,plain,
% 3.90/4.09 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3)
% 3.90/4.09 | 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)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15863]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3083,plain,
% 3.90/4.09 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X3,X2)) = c_Polynomial_Osmult(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 3.90/4.09 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5519_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15833,plain,
% 3.90/4.09 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X3,X2)) = c_Polynomial_Osmult(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 3.90/4.09 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3083]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15834,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__ring(X0)
% 3.90/4.09 | c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X3,X2)) = c_Polynomial_Osmult(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15833]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3081,plain,
% 3.90/4.09 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_Omonom(X0,X1,X2),c_Polynomial_Omonom(X0,X3,X2)) = c_Polynomial_Omonom(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 3.90/4.09 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5520_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15829,plain,
% 3.90/4.09 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_Omonom(X0,X1,X2),c_Polynomial_Omonom(X0,X3,X2)) = c_Polynomial_Omonom(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 3.90/4.09 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3081]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15830,plain,
% 3.90/4.09 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.09 | c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Polynomial_Omonom(X0,X1,X2),c_Polynomial_Omonom(X0,X3,X2)) = c_Polynomial_Omonom(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15829]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3079,plain,
% 3.90/4.09 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Omonom(X0,X1,X2),c_Polynomial_Omonom(X0,X3,X2)) = c_Polynomial_Omonom(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 3.90/4.09 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5521_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15825,plain,
% 3.90/4.09 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Omonom(X0,X1,X2),c_Polynomial_Omonom(X0,X3,X2)) = c_Polynomial_Omonom(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 3.90/4.09 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3079]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15826,plain,
% 3.90/4.09 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Omonom(X0,X1,X2),c_Polynomial_Omonom(X0,X3,X2)) = c_Polynomial_Omonom(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15825]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3077,plain,
% 3.90/4.09 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X3,X2)) = c_Polynomial_Osmult(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5522_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15821,plain,
% 3.90/4.09 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X3,X2)) = c_Polynomial_Osmult(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3077]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15822,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.09 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X3,X2)) = c_Polynomial_Osmult(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15821]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3069,plain,
% 3.90/4.09 ( c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X4)
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5524_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15805,plain,
% 3.90/4.09 ( c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X4)
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3069]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15806,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.09 | c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X4)
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15805]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3066,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.09 | ~ class_Power_Opower(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5525_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15799,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.09 | ~ class_Power_Opower(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3066]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15800,plain,
% 3.90/4.09 ( ~ class_Power_Opower(X0)
% 3.90/4.09 | 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)
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15799]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3064,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5526_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15795,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3064]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15796,plain,
% 3.90/4.09 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.90/4.09 | 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) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15795]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3062,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5527_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15791,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3062]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15792,plain,
% 3.90/4.09 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.09 | 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) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15791]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3060,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5528_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15787,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3060]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15788,plain,
% 3.90/4.09 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.09 | 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) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15787]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3058,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5529_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15783,plain,
% 3.90/4.09 ( 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)
% 3.90/4.09 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3058]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15784,plain,
% 3.90/4.09 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.90/4.09 | 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) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15783]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3054,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2)),c_Polynomial_Odegree(X0,X2))
% 3.90/4.09 | c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5530_3) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15775,plain,
% 3.90/4.09 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2)),c_Polynomial_Odegree(X0,X2))
% 3.90/4.09 | c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.09 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3054]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15776,plain,
% 3.90/4.09 ( ~ class_Fields_Ofield(X0)
% 3.90/4.09 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2)),c_Polynomial_Odegree(X0,X2))
% 3.90/4.09 | c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15775]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3052,plain,
% 3.90/4.09 ( c_Polynomial_OpCons(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Polynomial_Osmult(X0,X1,X3)) = c_Polynomial_Osmult(X0,X1,c_Polynomial_OpCons(X0,X2,X3))
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5531_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15771,plain,
% 3.90/4.09 ( c_Polynomial_OpCons(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Polynomial_Osmult(X0,X1,X3)) = c_Polynomial_Osmult(X0,X1,c_Polynomial_OpCons(X0,X2,X3))
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3052]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15772,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.09 | c_Polynomial_OpCons(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Polynomial_Osmult(X0,X1,X3)) = c_Polynomial_Osmult(X0,X1,c_Polynomial_OpCons(X0,X2,X3)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15771]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3046,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5533_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15759,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3046]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3043,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5534_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15753,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
% 3.90/4.09 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3043]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3041,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5535_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15749,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3041]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15750,plain,
% 3.90/4.09 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.09 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15749]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3039,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Divides_Odiv__class_Omod(X0,X1,X3)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5536_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15745,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Divides_Odiv__class_Omod(X0,X1,X3)
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3039]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15746,plain,
% 3.90/4.09 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.09 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Divides_Odiv__class_Omod(X0,X1,X3) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15745]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3031,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(X0,X2,X3))
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5539_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15729,plain,
% 3.90/4.09 ( c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(X0,X2,X3))
% 3.90/4.09 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3031]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15730,plain,
% 3.90/4.09 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.09 | c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(X0,X2,X3)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15729]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3027,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5541_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15721,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3027]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15722,plain,
% 3.90/4.09 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.90/4.09 | 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)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15721]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3023,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5543_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15713,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3023]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15714,plain,
% 3.90/4.09 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.90/4.09 | 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)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15713]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3021,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5544_1) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15709,plain,
% 3.90/4.09 ( 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))
% 3.90/4.09 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3021]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15710,plain,
% 3.90/4.09 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.09 | 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)) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15709]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3015,plain,
% 3.90/4.09 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2)) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5546_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15697,plain,
% 3.90/4.09 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.09 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2)) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3015]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15698,plain,
% 3.90/4.09 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),X1))
% 3.90/4.09 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2)
% 3.90/4.09 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15697]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3009,plain,
% 3.90/4.09 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.90/4.09 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(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)) ),
% 3.90/4.09 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5548_2) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15685,plain,
% 3.90/4.09 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.90/4.09 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)
% 3.90/4.09 | ~ c_Rings_Odvd__class_Odvd(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)) ),
% 3.90/4.09 inference(copy,[status(esa)],[c_3009]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_15686,plain,
% 3.90/4.09 ( ~ c_Rings_Odvd__class_Odvd(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))
% 3.90/4.09 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)
% 3.90/4.09 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.09 inference(rewriting,[status(thm)],[c_15685]) ).
% 3.90/4.09
% 3.90/4.09 cnf(c_3003,plain,
% 3.90/4.09 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.09 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X0)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5550_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15673,plain,
% 3.90/4.10 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X0)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_3003]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15674,plain,
% 3.90/4.10 ( ~ c_Rings_Odvd__class_Odvd(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),X2),X1))
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.10 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15673]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_3000,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.10 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(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)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5551_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15667,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.10 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(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)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_3000]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15668,plain,
% 3.90/4.10 ( ~ c_Rings_Odvd__class_Odvd(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))
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.10 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15667]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2998,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | ~ 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)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5552_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15663,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | ~ 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)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2998]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2996,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | ~ 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)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5553_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15659,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | ~ 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)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2996]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2988,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2)))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5556_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15643,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2)))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2988]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2987,plain,
% 3.90/4.10 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5557_0) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15641,plain,
% 3.90/4.10 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2987]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2984,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 3.90/4.10 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5557_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15635,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 3.90/4.10 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2984]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15636,plain,
% 3.90/4.10 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15635]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2983,plain,
% 3.90/4.10 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5558_0) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15633,plain,
% 3.90/4.10 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2983]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2980,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5558_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15627,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2980]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15628,plain,
% 3.90/4.10 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15627]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2978,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.10 | ~ 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)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5559_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15623,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.10 | ~ 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)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2978]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15624,plain,
% 3.90/4.10 ( ~ 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))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15623]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2976,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.10 | ~ 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)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5560_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15619,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.10 | ~ 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)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2976]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15620,plain,
% 3.90/4.10 ( ~ 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))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15619]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2974,plain,
% 3.90/4.10 ( c_Polynomial_Osmult(X0,c_Rings_Oinverse__class_Oinverse(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1))),X1) = c_Polynomial_Opoly__gcd(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 3.90/4.10 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5561_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15615,plain,
% 3.90/4.10 ( c_Polynomial_Osmult(X0,c_Rings_Oinverse__class_Oinverse(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1))),X1) = c_Polynomial_Opoly__gcd(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 3.90/4.10 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2974]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15616,plain,
% 3.90/4.10 ( ~ class_Fields_Ofield(X0)
% 3.90/4.10 | c_Polynomial_Osmult(X0,c_Rings_Oinverse__class_Oinverse(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1))),X1) = c_Polynomial_Opoly__gcd(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15615]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2969,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5563_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15605,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2969]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15606,plain,
% 3.90/4.10 ( ~ class_Groups_Omonoid__mult(X0)
% 3.90/4.10 | 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)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15605]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2965,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5565_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15597,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2965]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15598,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.10 | 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)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15597]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2963,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Groups_Oab__semigroup__mult(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5566_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15593,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Groups_Oab__semigroup__mult(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2963]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15594,plain,
% 3.90/4.10 ( ~ class_Groups_Oab__semigroup__mult(X0)
% 3.90/4.10 | 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)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15593]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2961,plain,
% 3.90/4.10 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3)) = hAPP(c_Polynomial_Opoly(X0,c_Polynomial_Omonom(X0,X1,X3)),X2)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5567_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15589,plain,
% 3.90/4.10 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3)) = hAPP(c_Polynomial_Opoly(X0,c_Polynomial_Omonom(X0,X1,X3)),X2)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2961]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15590,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.10 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3)) = hAPP(c_Polynomial_Opoly(X0,c_Polynomial_Omonom(X0,X1,X3)),X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15589]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2952,plain,
% 3.90/4.10 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X3))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X2)
% 3.90/4.10 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5570_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15571,plain,
% 3.90/4.10 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X3))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X2)
% 3.90/4.10 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2952]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15572,plain,
% 3.90/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.10 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),c_Divides_Odiv__class_Odiv(X0,X2,X1)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15571]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2945,plain,
% 3.90/4.10 ( c_Polynomial_Osynthetic__div(X0,c_Polynomial_OpCons(X0,X1,X2),X3) = c_Polynomial_OpCons(X0,hAPP(c_Polynomial_Opoly(X0,X2),X3),c_Polynomial_Osynthetic__div(X0,X2,X3))
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5572_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15557,plain,
% 3.90/4.10 ( c_Polynomial_Osynthetic__div(X0,c_Polynomial_OpCons(X0,X1,X2),X3) = c_Polynomial_OpCons(X0,hAPP(c_Polynomial_Opoly(X0,X2),X3),c_Polynomial_Osynthetic__div(X0,X2,X3))
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2945]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15558,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.10 | c_Polynomial_Osynthetic__div(X0,c_Polynomial_OpCons(X0,X1,X2),X3) = c_Polynomial_OpCons(X0,hAPP(c_Polynomial_Opoly(X0,X2),X3),c_Polynomial_Osynthetic__div(X0,X2,X3)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15557]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2943,plain,
% 3.90/4.10 ( hAPP(c_Polynomial_Opoly(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2)),X3) = hAPP(c_Polynomial_Opoly(X0,X1),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5573_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15553,plain,
% 3.90/4.10 ( hAPP(c_Polynomial_Opoly(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2)),X3) = hAPP(c_Polynomial_Opoly(X0,X1),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2943]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15554,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.10 | hAPP(c_Polynomial_Opoly(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2)),X3) = hAPP(c_Polynomial_Opoly(X0,X1),c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15553]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2941,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5574_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15549,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2941]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15550,plain,
% 3.90/4.10 ( ~ class_Groups_Omonoid__mult(X0)
% 3.90/4.10 | 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)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15549]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2939,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5575_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15545,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2939]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15546,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.10 | 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)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15545]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2918,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5582_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15503,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2918]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15504,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15503]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2924,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5580_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15515,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2924]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15516,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15515]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2916,plain,
% 3.90/4.10 ( 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)
% 3.90/4.10 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5583_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15499,plain,
% 3.90/4.10 ( 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)
% 3.90/4.10 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2916]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2914,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5584_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15495,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2914]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2912,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5585_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15491,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2912]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15492,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15491]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2907,plain,
% 3.90/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(X0,X1,X2) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5587_0) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15481,plain,
% 3.90/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(X0,X1,X2) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2907]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2904,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3))
% 3.90/4.10 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5587_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15475,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3))
% 3.90/4.10 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2904]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15476,plain,
% 3.90/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3))
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15475]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2899,plain,
% 3.90/4.10 ( 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)
% 3.90/4.10 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5589_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15465,plain,
% 3.90/4.10 ( 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)
% 3.90/4.10 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2899]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15466,plain,
% 3.90/4.10 ( ~ class_Fields_Ofield(X0)
% 3.90/4.10 | 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) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15465]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2888,plain,
% 3.90/4.10 ( c_Polynomial_Osmult(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),c_Polynomial_Osmult(X0,X1,X3))
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5593_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15443,plain,
% 3.90/4.10 ( c_Polynomial_Osmult(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),c_Polynomial_Osmult(X0,X1,X3))
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2888]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15444,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.10 | c_Polynomial_Osmult(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),c_Polynomial_Osmult(X0,X1,X3)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15443]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2868,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5598_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15403,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2868]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15404,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15403]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2860,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5600_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15387,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2860]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15388,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15387]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2856,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5601_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15379,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2856]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15380,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15379]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2852,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5602_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15371,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2852]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15372,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15371]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2848,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5603_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15363,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2848]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15364,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15363]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2836,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5606_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15339,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2836]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15340,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15339]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2828,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5608_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15323,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2828]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15324,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15323]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2824,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5609_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15315,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2824]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15316,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15315]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2820,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5610_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15307,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2820]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15308,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15307]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2816,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5611_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15299,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2816]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15300,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15299]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2814,plain,
% 3.90/4.10 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Polynomial_Opoly(X0,X2),X3)) = hAPP(c_Polynomial_Opoly(X0,c_Polynomial_Osmult(X0,X1,X2)),X3)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5612_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15295,plain,
% 3.90/4.10 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Polynomial_Opoly(X0,X2),X3)) = hAPP(c_Polynomial_Opoly(X0,c_Polynomial_Osmult(X0,X1,X2)),X3)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2814]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15296,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.10 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Polynomial_Opoly(X0,X2),X3)) = hAPP(c_Polynomial_Opoly(X0,c_Polynomial_Osmult(X0,X1,X2)),X3) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15295]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2812,plain,
% 3.90/4.10 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Polynomial_Ocoeff(X0,X2),X3)) = hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Osmult(X0,X1,X2)),X3)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5613_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15291,plain,
% 3.90/4.10 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Polynomial_Ocoeff(X0,X2),X3)) = hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Osmult(X0,X1,X2)),X3)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2812]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15292,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.10 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Polynomial_Ocoeff(X0,X2),X3)) = hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Osmult(X0,X1,X2)),X3) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15291]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2810,plain,
% 3.90/4.10 ( 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)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5615_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15287,plain,
% 3.90/4.10 ( 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)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2810]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15288,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.90/4.10 | 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) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15287]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2756,plain,
% 3.90/4.10 ( 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)
% 3.90/4.10 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5628_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15179,plain,
% 3.90/4.10 ( 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)
% 3.90/4.10 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2756]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2755,plain,
% 3.90/4.10 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5629_0) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15177,plain,
% 3.90/4.10 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2755]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2753,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5629_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15173,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2753]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15174,plain,
% 3.90/4.10 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15173]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2752,plain,
% 3.90/4.10 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5630_0) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15171,plain,
% 3.90/4.10 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2752]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2750,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5630_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15167,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2750]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15168,plain,
% 3.90/4.10 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2))
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15167]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2748,plain,
% 3.90/4.10 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.90/4.10 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5636_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15163,plain,
% 3.90/4.10 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.90/4.10 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2748]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15164,plain,
% 3.90/4.10 ( ~ class_Divides_Oring__div(X0)
% 3.90/4.10 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15163]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2746,plain,
% 3.90/4.10 ( hAPP(c_Polynomial_Opoly(X0,X1),hAPP(c_Polynomial_Opoly(X0,X2),X3)) = hAPP(c_Polynomial_Opoly(X0,c_Polynomial_Opcompose(X0,X1,X2)),X3)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5637_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15159,plain,
% 3.90/4.10 ( hAPP(c_Polynomial_Opoly(X0,X1),hAPP(c_Polynomial_Opoly(X0,X2),X3)) = hAPP(c_Polynomial_Opoly(X0,c_Polynomial_Opcompose(X0,X1,X2)),X3)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2746]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15160,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.10 | hAPP(c_Polynomial_Opoly(X0,X1),hAPP(c_Polynomial_Opoly(X0,X2),X3)) = hAPP(c_Polynomial_Opoly(X0,c_Polynomial_Opcompose(X0,X1,X2)),X3) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15159]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2744,plain,
% 3.90/4.10 ( 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)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5638_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15155,plain,
% 3.90/4.10 ( 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)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2744]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15156,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.10 | 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) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15155]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2742,plain,
% 3.90/4.10 ( 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)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5639_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15151,plain,
% 3.90/4.10 ( 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)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2742]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15152,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | 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) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15151]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2738,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5640_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15143,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2738]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15144,plain,
% 3.90/4.10 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15143]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2734,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5641_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15135,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2734]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15136,plain,
% 3.90/4.10 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15135]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2710,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5647_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15087,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2710]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15088,plain,
% 3.90/4.10 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15087]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2706,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5648_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15079,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2706]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15080,plain,
% 3.90/4.10 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15079]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2702,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5649_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15071,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2702]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2690,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5652_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15047,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2690]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2670,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5657_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15007,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2670]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15008,plain,
% 3.90/4.10 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_15007]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2666,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5658_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14999,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2666]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_15000,plain,
% 3.90/4.10 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14999]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2658,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Opoly__gcd(X0,X2,X3))
% 3.90/4.10 | ~ class_Fields_Ofield(X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5660_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14983,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Opoly__gcd(X0,X2,X3))
% 3.90/4.10 | ~ class_Fields_Ofield(X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2658]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14984,plain,
% 3.90/4.10 ( ~ class_Fields_Ofield(X0)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Opoly__gcd(X0,X2,X3))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14983]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2656,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5661_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14979,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2656]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2655,plain,
% 3.90/4.10 ( ~ 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))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5662_0) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14977,plain,
% 3.90/4.10 ( ~ 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))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2655]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2653,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.10 | ~ 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)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5662_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14973,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.10 | ~ 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)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2653]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14974,plain,
% 3.90/4.10 ( ~ 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))
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14973]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2633,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5670_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14933,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2633]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14934,plain,
% 3.90/4.10 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14933]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2605,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Rings_Oordered__cancel__semiring(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5677_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14877,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Rings_Oordered__cancel__semiring(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2605]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14878,plain,
% 3.90/4.10 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14877]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2601,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Rings_Oordered__cancel__semiring(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5678_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14869,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Rings_Oordered__cancel__semiring(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2601]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14870,plain,
% 3.90/4.10 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14869]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2609,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ class_Rings_Oordered__ring(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5676_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14885,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ class_Rings_Oordered__ring(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2609]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14886,plain,
% 3.90/4.10 ( ~ class_Rings_Oordered__ring(X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14885]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2597,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.10 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5679_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14861,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.10 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2597]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14862,plain,
% 3.90/4.10 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14861]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2593,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5680_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14853,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2593]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14854,plain,
% 3.90/4.10 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14853]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2589,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5681_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14845,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2589]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14846,plain,
% 3.90/4.10 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14845]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2581,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5683_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14829,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2581]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14830,plain,
% 3.90/4.10 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14829]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2577,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5684_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14821,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2577]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14822,plain,
% 3.90/4.10 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14821]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2574,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 3.90/4.10 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5685_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14815,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 3.90/4.10 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2574]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14816,plain,
% 3.90/4.10 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14815]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2571,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.90/4.10 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5686_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14809,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.90/4.10 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2571]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14810,plain,
% 3.90/4.10 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14809]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2556,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.90/4.10 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5691_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14779,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.90/4.10 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2556]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14780,plain,
% 3.90/4.10 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14779]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2553,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.90/4.10 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5692_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14773,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 3.90/4.10 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2553]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14774,plain,
% 3.90/4.10 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14773]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2547,plain,
% 3.90/4.10 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2) = X1
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.90/4.10 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5694_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14761,plain,
% 3.90/4.10 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2) = X1
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.90/4.10 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2547]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14762,plain,
% 3.90/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.10 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X2,X1)),X1) = X2 ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14761]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2543,plain,
% 3.90/4.10 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5696_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14753,plain,
% 3.90/4.10 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2543]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2542,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5696_4) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14751,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2542]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2532,plain,
% 3.90/4.10 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X2)) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5699_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14731,plain,
% 3.90/4.10 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X2)) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2532]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14732,plain,
% 3.90/4.10 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2))
% 3.90/4.10 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) = c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14731]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2529,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5700_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14725,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2529]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14726,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14725]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2515,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.90/4.10 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5704_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14697,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 3.90/4.10 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2515]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14698,plain,
% 3.90/4.10 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oplus__class_Oplus(X0,X3,X1))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14697]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2511,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5705_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14689,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2511]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14690,plain,
% 3.90/4.10 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14689]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2507,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5706_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14681,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 3.90/4.10 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2507]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14682,plain,
% 3.90/4.10 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14681]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2499,plain,
% 3.90/4.10 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3) = c_Polynomial_Osmult(X0,X1,c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X2,X3))
% 3.90/4.10 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5709_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14665,plain,
% 3.90/4.10 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3) = c_Polynomial_Osmult(X0,X1,c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X2,X3))
% 3.90/4.10 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2499]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14666,plain,
% 3.90/4.10 ( ~ class_Fields_Ofield(X0)
% 3.90/4.10 | c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3) = c_Polynomial_Osmult(X0,X1,c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X2,X3)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14665]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2497,plain,
% 3.90/4.10 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3) = c_Polynomial_Osmult(X0,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X3))
% 3.90/4.10 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5710_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14661,plain,
% 3.90/4.10 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3) = c_Polynomial_Osmult(X0,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X3))
% 3.90/4.10 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2497]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14662,plain,
% 3.90/4.10 ( ~ class_Fields_Ofield(X0)
% 3.90/4.10 | c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3) = c_Polynomial_Osmult(X0,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X3)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14661]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2490,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5712_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14647,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2490]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2488,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5713_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14643,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2488]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2486,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5714_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14639,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2486]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2484,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5715_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14635,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2484]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2472,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.10 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5718_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14611,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.10 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2472]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14612,plain,
% 3.90/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14611]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2468,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ominus__class_Ominus(X0,X2,X3))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.10 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5719_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14603,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ominus__class_Ominus(X0,X2,X3))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.10 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2468]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14604,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__ring__1(X0)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ominus__class_Ominus(X0,X2,X3))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14603]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2464,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5720_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14595,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2464]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14596,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14595]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2461,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.10 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5721_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14589,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.10 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2461]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14590,plain,
% 3.90/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.10 | 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))
% 3.90/4.10 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14589]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2458,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.10 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5722_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14583,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.10 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2458]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14584,plain,
% 3.90/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.10 | 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))
% 3.90/4.10 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14583]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2455,plain,
% 3.90/4.10 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X3),X2)
% 3.90/4.10 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 3.90/4.10 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5723_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14577,plain,
% 3.90/4.10 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X3),X2)
% 3.90/4.10 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 3.90/4.10 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2455]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14578,plain,
% 3.90/4.10 ( ~ class_Divides_Oring__div(X0)
% 3.90/4.10 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X3),X2)
% 3.90/4.10 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14577]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2452,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5724_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14571,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2452]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2449,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5725_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14565,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2449]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2443,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5727_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14553,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2443]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14554,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.90/4.10 | 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))
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14553]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2432,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.90/4.10 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X3,X2))
% 3.90/4.10 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5730_3) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14531,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.90/4.10 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X3,X2))
% 3.90/4.10 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2432]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14532,plain,
% 3.90/4.10 ( ~ class_Fields_Ofield(X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X2,X3))
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3)
% 3.90/4.10 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14531]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2422,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5733_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14511,plain,
% 3.90/4.10 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2422]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14512,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),X0) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14511]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2420,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5734_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14507,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2420]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14508,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14507]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2395,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X3,X1),X2)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5742_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14457,plain,
% 3.90/4.10 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X2)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X3,X1),X2)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2395]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14458,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),X3)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X2,X3) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14457]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2393,plain,
% 3.90/4.10 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X0) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5744_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14453,plain,
% 3.90/4.10 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X0) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2393]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14454,plain,
% 3.90/4.10 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 3.90/4.10 | c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X0) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14453]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2391,plain,
% 3.90/4.10 ( c_Polynomial_Opoly__gcd(X0,c_Polynomial_Opoly__gcd(X0,X1,X2),X3) = c_Polynomial_Opoly__gcd(X0,X1,c_Polynomial_Opoly__gcd(X0,X2,X3))
% 3.90/4.10 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5745_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14449,plain,
% 3.90/4.10 ( c_Polynomial_Opoly__gcd(X0,c_Polynomial_Opoly__gcd(X0,X1,X2),X3) = c_Polynomial_Opoly__gcd(X0,X1,c_Polynomial_Opoly__gcd(X0,X2,X3))
% 3.90/4.10 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2391]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14450,plain,
% 3.90/4.10 ( ~ class_Fields_Ofield(X0)
% 3.90/4.10 | c_Polynomial_Opoly__gcd(X0,c_Polynomial_Opoly__gcd(X0,X1,X2),X3) = c_Polynomial_Opoly__gcd(X0,X1,c_Polynomial_Opoly__gcd(X0,X2,X3)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14449]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2389,plain,
% 3.90/4.10 ( c_Polynomial_Opoly__gcd(X0,X1,c_Polynomial_Opoly__gcd(X0,X2,X3)) = c_Polynomial_Opoly__gcd(X0,X2,c_Polynomial_Opoly__gcd(X0,X1,X3))
% 3.90/4.10 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5746_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14445,plain,
% 3.90/4.10 ( c_Polynomial_Opoly__gcd(X0,X1,c_Polynomial_Opoly__gcd(X0,X2,X3)) = c_Polynomial_Opoly__gcd(X0,X2,c_Polynomial_Opoly__gcd(X0,X1,X3))
% 3.90/4.10 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2389]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14446,plain,
% 3.90/4.10 ( ~ class_Fields_Ofield(X0)
% 3.90/4.10 | c_Polynomial_Opoly__gcd(X0,X1,c_Polynomial_Opoly__gcd(X0,X2,X3)) = c_Polynomial_Opoly__gcd(X0,X2,c_Polynomial_Opoly__gcd(X0,X1,X3)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14445]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2387,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5747_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14441,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2387]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14442,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.10 | 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)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14441]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2383,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5749_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14433,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2383]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14434,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.10 | 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)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14433]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2381,plain,
% 3.90/4.10 ( 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)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5750_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14429,plain,
% 3.90/4.10 ( 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)
% 3.90/4.10 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2381]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14430,plain,
% 3.90/4.10 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.10 | 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) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14429]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2379,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Groups_Oab__semigroup__add(X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5751_1) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14425,plain,
% 3.90/4.10 ( 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))
% 3.90/4.10 | ~ class_Groups_Oab__semigroup__add(X0) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2379]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14426,plain,
% 3.90/4.10 ( ~ class_Groups_Oab__semigroup__add(X0)
% 3.90/4.10 | 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)) ),
% 3.90/4.10 inference(rewriting,[status(thm)],[c_14425]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2376,plain,
% 3.90/4.10 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5752_2) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_14419,plain,
% 3.90/4.10 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.90/4.10 inference(copy,[status(esa)],[c_2376]) ).
% 3.90/4.10
% 3.90/4.10 cnf(c_2375,plain,
% 3.90/4.10 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.10 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.10 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0) ),
% 3.90/4.10 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5752_3) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14417,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2375]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2374,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5752_4) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14415,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2374]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2368,plain,
% 3.90/4.11 ( 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)
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5754_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14403,plain,
% 3.90/4.11 ( 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)
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2368]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14404,plain,
% 3.90/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.11 | 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)
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14403]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2365,plain,
% 3.90/4.11 ( 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)
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5755_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14397,plain,
% 3.90/4.11 ( 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)
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2365]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14398,plain,
% 3.90/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.11 | 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)
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14397]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2362,plain,
% 3.90/4.11 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5756_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14391,plain,
% 3.90/4.11 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2362]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14392,plain,
% 3.90/4.11 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.90/4.11 | c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14391]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2359,plain,
% 3.90/4.11 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X3)
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5757_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14385,plain,
% 3.90/4.11 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X3)
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2359]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14386,plain,
% 3.90/4.11 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.90/4.11 | c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X3)
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14385]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2335,plain,
% 3.90/4.11 ( c_Polynomial_Osmult(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Polynomial_Osmult(X0,X1,c_Polynomial_Osmult(X0,X2,X3))
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5765_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14337,plain,
% 3.90/4.11 ( c_Polynomial_Osmult(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Polynomial_Osmult(X0,X1,c_Polynomial_Osmult(X0,X2,X3))
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2335]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14338,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.11 | c_Polynomial_Osmult(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Polynomial_Osmult(X0,X1,c_Polynomial_Osmult(X0,X2,X3)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14337]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2333,plain,
% 3.90/4.11 ( c_Polynomial_Omonom(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Polynomial_Osmult(X0,X1,c_Polynomial_Omonom(X0,X2,X3))
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5766_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14333,plain,
% 3.90/4.11 ( c_Polynomial_Omonom(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Polynomial_Osmult(X0,X1,c_Polynomial_Omonom(X0,X2,X3))
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2333]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14334,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.11 | c_Polynomial_Omonom(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Polynomial_Osmult(X0,X1,c_Polynomial_Omonom(X0,X2,X3)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14333]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2330,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5767_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14327,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2330]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2327,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5768_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14321,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2327]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2324,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5769_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14315,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2324]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2322,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2))
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) != c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5770_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14311,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2))
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) != c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2322]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2320,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5771_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14307,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2320]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14308,plain,
% 3.90/4.11 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.11 | 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)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14307]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2318,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5772_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14303,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2318]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14304,plain,
% 3.90/4.11 ( ~ class_Groups_Omonoid__mult(X0)
% 3.90/4.11 | 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)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14303]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2316,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5773_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14299,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2316]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14300,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.11 | 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)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14299]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2293,plain,
% 3.90/4.11 ( c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)) = c_Polynomial_Odegree(X0,X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),c_Polynomial_Odegree(X0,X1))
% 3.90/4.11 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5780_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14253,plain,
% 3.90/4.11 ( c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)) = c_Polynomial_Odegree(X0,X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),c_Polynomial_Odegree(X0,X1))
% 3.90/4.11 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2293]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14254,plain,
% 3.90/4.11 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 3.90/4.11 | c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X2,X1)) = c_Polynomial_Odegree(X0,X2) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14253]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2290,plain,
% 3.90/4.11 ( c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)) = c_Polynomial_Odegree(X0,X2)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 3.90/4.11 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5781_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14247,plain,
% 3.90/4.11 ( c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)) = c_Polynomial_Odegree(X0,X2)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 3.90/4.11 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2290]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14248,plain,
% 3.90/4.11 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 3.90/4.11 | c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)) = c_Polynomial_Odegree(X0,X2) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14247]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2275,plain,
% 3.90/4.11 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0),X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5785_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14217,plain,
% 3.90/4.11 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0),X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2275]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14218,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X0)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.11 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14217]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2272,plain,
% 3.90/4.11 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5786_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14211,plain,
% 3.90/4.11 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2272]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14212,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.11 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14211]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2270,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(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))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5787_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14207,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(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))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2270]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2268,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5788_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14203,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2268]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14204,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.11 | 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)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14203]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2265,plain,
% 3.90/4.11 ( X0 = X1
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 3.90/4.11 | ~ 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))) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5797_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14197,plain,
% 3.90/4.11 ( X0 = X1
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 3.90/4.11 | ~ 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))) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2265]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14198,plain,
% 3.90/4.11 ( ~ 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)))
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 3.90/4.11 | X0 = X1 ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14197]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2262,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,X1,X3)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X2)
% 3.90/4.11 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5798_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14191,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,X1,X3)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X2)
% 3.90/4.11 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2262]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14192,plain,
% 3.90/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | c_Divides_Odiv__class_Omod(X0,c_Divides_Odiv__class_Omod(X0,X3,X2),X1) = c_Divides_Odiv__class_Omod(X0,X3,X1) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14191]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2259,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5799_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14185,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2259]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14186,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14185]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2256,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),X2)
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5800_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14179,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),X2)
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2256]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14180,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(X0,X2,X3) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14179]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2254,plain,
% 3.90/4.11 ( hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_OpCons(X0,X1,X2)),c_Nat_OSuc(X3)) = hAPP(c_Polynomial_Ocoeff(X0,X2),X3)
% 3.90/4.11 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5801_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14175,plain,
% 3.90/4.11 ( hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_OpCons(X0,X1,X2)),c_Nat_OSuc(X3)) = hAPP(c_Polynomial_Ocoeff(X0,X2),X3)
% 3.90/4.11 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2254]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14176,plain,
% 3.90/4.11 ( ~ class_Groups_Ozero(X0)
% 3.90/4.11 | hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_OpCons(X0,X1,X2)),c_Nat_OSuc(X3)) = hAPP(c_Polynomial_Ocoeff(X0,X2),X3) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14175]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2252,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 3.90/4.11 | ~ 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)) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5803_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14171,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 3.90/4.11 | ~ 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)) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2252]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14172,plain,
% 3.90/4.11 ( ~ 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))
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14171]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2250,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ 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)) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5804_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14167,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ 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)) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2250]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14168,plain,
% 3.90/4.11 ( ~ 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))
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14167]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2249,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5805_0) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14165,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2249]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2248,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5805_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14163,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2248]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2247,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5805_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14161,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2247]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2246,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5805_3) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14159,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2246]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2245,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5806_0) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14157,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2245]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2244,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5806_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14155,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2244]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2242,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5806_3) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14151,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2242]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2240,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 3.90/4.11 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5807_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14147,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 3.90/4.11 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2240]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2237,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5808_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14141,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2237]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14142,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14141]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2235,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5809_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14137,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2235]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14138,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14137]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2231,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.11 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5810_3) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14129,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.11 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2231]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14130,plain,
% 3.90/4.11 ( ~ class_Rings_Oidom(X0)
% 3.90/4.11 | 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))
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14129]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2217,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.90/4.11 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5814_3) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14101,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.90/4.11 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2217]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2210,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Ouminus__class_Ouminus(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.90/4.11 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5816_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14087,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Ouminus__class_Ouminus(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.90/4.11 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2210]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14088,plain,
% 3.90/4.11 ( ~ class_Divides_Oring__div(X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | c_Divides_Odiv__class_Odiv(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) = c_Groups_Ouminus__class_Ouminus(X0,c_Divides_Odiv__class_Odiv(X0,X2,X1)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14087]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2207,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.90/4.11 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5817_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14081,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1)
% 3.90/4.11 | ~ class_Divides_Oring__div(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2207]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14082,plain,
% 3.90/4.11 ( ~ class_Divides_Oring__div(X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | c_Divides_Odiv__class_Odiv(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ouminus__class_Ouminus(X0,c_Divides_Odiv__class_Odiv(X0,X2,X1)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14081]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2199,plain,
% 3.90/4.11 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.90/4.11 | ~ hBOOL(hAPP(X0,X1))
% 3.90/4.11 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5819_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14065,plain,
% 3.90/4.11 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 3.90/4.11 | ~ hBOOL(hAPP(X0,X1))
% 3.90/4.11 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2199]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2184,plain,
% 3.90/4.11 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.11 | ~ 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)) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5823_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14035,plain,
% 3.90/4.11 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.11 | ~ 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)) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2184]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14036,plain,
% 3.90/4.11 ( ~ 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))
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14035]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2182,plain,
% 3.90/4.11 ( 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)
% 3.90/4.11 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5824_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14031,plain,
% 3.90/4.11 ( 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)
% 3.90/4.11 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2182]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2176,plain,
% 3.90/4.11 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1),X1) = c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5826_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14019,plain,
% 3.90/4.11 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1),X1) = c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2176]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2174,plain,
% 3.90/4.11 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X0)
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5827_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14015,plain,
% 3.90/4.11 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X0)
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2174]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2168,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.11 | ~ 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)) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5829_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14003,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.11 | ~ 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)) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2168]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14004,plain,
% 3.90/4.11 ( ~ 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))
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_14003]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2166,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.11 | ~ 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)) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5830_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13999,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.11 | ~ 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)) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2166]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_14000,plain,
% 3.90/4.11 ( ~ 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))
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13999]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2151,plain,
% 3.90/4.11 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.90/4.11 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X0) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0))
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5834_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13969,plain,
% 3.90/4.11 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.90/4.11 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X0) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0))
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2151]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13970,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.90/4.11 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X1) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13969]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2148,plain,
% 3.90/4.11 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.90/4.11 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0)) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0))
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5835_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13963,plain,
% 3.90/4.11 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.90/4.11 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0)) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0))
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2148]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13964,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.90/4.11 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13963]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2142,plain,
% 3.90/4.11 ( 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)))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.11 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5837_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13951,plain,
% 3.90/4.11 ( 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)))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.11 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2142]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13952,plain,
% 3.90/4.11 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.11 | 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)))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13951]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2137,plain,
% 3.90/4.11 ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X2) = c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5839_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13941,plain,
% 3.90/4.11 ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X2) = c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2137]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13942,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.11 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X2) = c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13941]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2123,plain,
% 3.90/4.11 ( c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 3.90/4.11 | c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)) = X1 ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5843_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13913,plain,
% 3.90/4.11 ( c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 3.90/4.11 | c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)) = X1 ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2123]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2108,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5848_0) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13883,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2108]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2107,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5848_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13881,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2107]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2106,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5848_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13879,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2106]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2105,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5848_3) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13877,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2105]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2096,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5851_0) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13859,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2096]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2095,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5851_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13857,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2095]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2094,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5851_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13855,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2094]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2093,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5851_3) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13853,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2093]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2065,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X2,X3))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3)
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5859_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13797,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X2,X3))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3)
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2065]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13798,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X2,X3))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),X1,X3) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13797]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2050,plain,
% 3.90/4.11 ( hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Omonom(X0,X1,X2)),X3) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | X2 = X3
% 3.90/4.11 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5863_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13767,plain,
% 3.90/4.11 ( hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Omonom(X0,X1,X2)),X3) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | X2 = X3
% 3.90/4.11 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2050]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13768,plain,
% 3.90/4.11 ( ~ class_Groups_Ozero(X0)
% 3.90/4.11 | hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_Omonom(X0,X1,X2)),X3) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | X2 = X3 ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13767]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2047,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.11 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5866_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13761,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.11 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2047]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13762,plain,
% 3.90/4.11 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.11 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13761]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2044,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.11 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5867_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13755,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.11 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2044]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13756,plain,
% 3.90/4.11 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.11 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13755]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2041,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.11 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5868_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13749,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.11 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2041]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13750,plain,
% 3.90/4.11 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13749]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2036,plain,
% 3.90/4.11 ( hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_OpCons(X0,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1
% 3.90/4.11 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5870_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13739,plain,
% 3.90/4.11 ( hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_OpCons(X0,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1
% 3.90/4.11 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2036]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13740,plain,
% 3.90/4.11 ( ~ class_Groups_Ozero(X0)
% 3.90/4.11 | hAPP(c_Polynomial_Ocoeff(X0,c_Polynomial_OpCons(X0,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1 ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13739]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2032,plain,
% 3.90/4.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5871_3) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13731,plain,
% 3.90/4.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2032]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13732,plain,
% 3.90/4.11 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.11 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13731]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2030,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.11 | ~ class_Rings_Olinordered__ring(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5872_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13727,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.11 | ~ class_Rings_Olinordered__ring(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2030]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13728,plain,
% 3.90/4.11 ( ~ class_Rings_Olinordered__ring(X0)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13727]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2026,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5874_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13719,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2026]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13720,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13719]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2018,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(X1)),X0)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5878_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13703,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(X1)),X0)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2018]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13704,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(X1)),X0) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13703]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2009,plain,
% 3.90/4.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)) = X2
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5882_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13685,plain,
% 3.90/4.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)) = X2
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2009]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13686,plain,
% 3.90/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)) = X2 ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13685]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2007,plain,
% 3.90/4.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Osgn__class_Osgn(X0,X2)) = c_Groups_Osgn__class_Osgn(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.11 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5883_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13681,plain,
% 3.90/4.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Osgn__class_Osgn(X0,X2)) = c_Groups_Osgn__class_Osgn(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.11 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2007]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13682,plain,
% 3.90/4.11 ( ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.11 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Osgn__class_Osgn(X0,X2)) = c_Groups_Osgn__class_Osgn(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13681]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2005,plain,
% 3.90/4.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Osgn__class_Osgn(X0,X2)) = c_Groups_Osgn__class_Osgn(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.11 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5884_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13677,plain,
% 3.90/4.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Osgn__class_Osgn(X0,X2)) = c_Groups_Osgn__class_Osgn(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.11 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2005]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13678,plain,
% 3.90/4.11 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 3.90/4.11 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Osgn__class_Osgn(X0,X2)) = c_Groups_Osgn__class_Osgn(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13677]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_2003,plain,
% 3.90/4.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.11 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5885_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13673,plain,
% 3.90/4.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.11 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_2003]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13674,plain,
% 3.90/4.11 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.90/4.11 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13673]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1996,plain,
% 3.90/4.11 ( c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X2))
% 3.90/4.11 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5888_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13659,plain,
% 3.90/4.11 ( c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X2))
% 3.90/4.11 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1996]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13660,plain,
% 3.90/4.11 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.11 | c_Polynomial_OpCons(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X2)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13659]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1993,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5889_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13653,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1993]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13654,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13653]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1990,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5890_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13647,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1990]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13648,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13647]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1988,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5891_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13643,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1988]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1986,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5892_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13639,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1986]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1981,plain,
% 3.90/4.11 ( 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)))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5894_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13629,plain,
% 3.90/4.11 ( 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)))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1981]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1975,plain,
% 3.90/4.11 ( c_Polynomial_Opoly__gcd(X0,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X1)) = c_Polynomial_Opoly__gcd(X0,X2,X1)
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.11 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5898_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13617,plain,
% 3.90/4.11 ( c_Polynomial_Opoly__gcd(X0,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X1)) = c_Polynomial_Opoly__gcd(X0,X2,X1)
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.11 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1975]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13618,plain,
% 3.90/4.11 ( ~ class_Fields_Ofield(X0)
% 3.90/4.11 | c_Polynomial_Opoly__gcd(X0,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X1)) = c_Polynomial_Opoly__gcd(X0,X2,X1)
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13617]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1973,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1),X0)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5899_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13613,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1),X0)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1973]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13614,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.90/4.11 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1),X0) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13613]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1971,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5900_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13609,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1971]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13610,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13609]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1969,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1),X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5901_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13605,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1),X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1969]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13606,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X0),X0) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13605]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1967,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1),X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5902_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13601,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1),X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1967]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13602,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 3.90/4.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0),X0) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13601]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1965,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2))
% 3.90/4.11 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5903_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13597,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2))
% 3.90/4.11 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1965]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13598,plain,
% 3.90/4.11 ( ~ class_Fields_Ofield(X0)
% 3.90/4.11 | c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13597]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1963,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2))
% 3.90/4.11 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5904_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13593,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2))
% 3.90/4.11 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1963]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13594,plain,
% 3.90/4.11 ( ~ class_Fields_Ofield(X0)
% 3.90/4.11 | c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13593]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1961,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2))
% 3.90/4.11 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5905_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13589,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2))
% 3.90/4.11 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1961]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13590,plain,
% 3.90/4.11 ( ~ class_Fields_Ofield(X0)
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13589]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1959,plain,
% 3.90/4.11 ( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk17_2(X1,X0))) = X1
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5906_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13585,plain,
% 3.90/4.11 ( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk17_2(X1,X0))) = X1
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1959]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13586,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk17_2(X1,X0))) = X1 ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13585]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1957,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5907_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13581,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1957]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1955,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5908_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13577,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1955]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1949,plain,
% 3.90/4.11 ( 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)
% 3.90/4.11 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5910_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13565,plain,
% 3.90/4.11 ( 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)
% 3.90/4.11 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1949]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1943,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5913_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13553,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1943]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1941,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5914_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13549,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1941]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1939,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5915_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13545,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1939]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1937,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5916_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13541,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1937]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1934,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X2,X3)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X3)
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5917_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13535,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X2,X3)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X3)
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1934]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13536,plain,
% 3.90/4.11 ( ~ class_Fields_Ofield(X0)
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X2,X3)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X3)
% 3.90/4.11 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13535]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1927,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(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))
% 3.90/4.11 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5919_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13521,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(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))
% 3.90/4.11 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1927]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1919,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X0)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.11 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5921_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13505,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X0)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.11 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1919]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1916,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.11 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5922_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13499,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 3.90/4.11 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1916]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1908,plain,
% 3.90/4.11 ( c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),c_Polynomial_Omonom(X0,X1,X2)) = c_Polynomial_Omonom(X0,X1,c_Nat_OSuc(X2))
% 3.90/4.11 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5926_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13483,plain,
% 3.90/4.11 ( c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),c_Polynomial_Omonom(X0,X1,X2)) = c_Polynomial_Omonom(X0,X1,c_Nat_OSuc(X2))
% 3.90/4.11 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1908]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13484,plain,
% 3.90/4.11 ( ~ class_Groups_Ozero(X0)
% 3.90/4.11 | c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),c_Polynomial_Omonom(X0,X1,X2)) = c_Polynomial_Omonom(X0,X1,c_Nat_OSuc(X2)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13483]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1904,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5928_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13475,plain,
% 3.90/4.11 ( 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))
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1904]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1902,plain,
% 3.90/4.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) = X1
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5929_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13471,plain,
% 3.90/4.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) = X1
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1902]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13472,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.11 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) = X1 ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13471]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1901,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5930_0) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13469,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1901]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1900,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5930_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13467,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X3) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1900]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1898,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5930_3) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13463,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3)
% 3.90/4.11 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1898]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13464,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X3,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X3) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13463]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1896,plain,
% 3.90/4.11 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))
% 3.90/4.11 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5931_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13459,plain,
% 3.90/4.11 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))
% 3.90/4.11 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1896]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13460,plain,
% 3.90/4.11 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.11 | c_Groups_Ominus__class_Ominus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13459]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1894,plain,
% 3.90/4.11 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.90/4.11 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5932_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13455,plain,
% 3.90/4.11 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 3.90/4.11 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1894]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13456,plain,
% 3.90/4.11 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.11 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13455]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1892,plain,
% 3.90/4.11 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oplus__class_Oplus(X0,X2,X1))
% 3.90/4.11 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5933_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13451,plain,
% 3.90/4.11 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oplus__class_Oplus(X0,X2,X1))
% 3.90/4.11 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1892]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13452,plain,
% 3.90/4.11 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.11 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oplus__class_Oplus(X0,X2,X1)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13451]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1889,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2) = X1
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 3.90/4.11 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5934_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13445,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2) = X1
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 3.90/4.11 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1889]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13446,plain,
% 3.90/4.11 ( ~ class_Fields_Ofield(X0)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2) = X1 ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13445]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1887,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.11 | c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)) != X1 ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5935_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13441,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.11 | c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)) != X1 ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1887]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13442,plain,
% 3.90/4.11 ( c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)) != X1
% 3.90/4.11 | c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13441]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1884,plain,
% 3.90/4.11 ( c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),X2)
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5936_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13435,plain,
% 3.90/4.11 ( c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),X2)
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.11 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1884]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13436,plain,
% 3.90/4.11 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.11 | c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),X2)
% 3.90/4.11 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13435]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1882,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X0) = X1
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5937_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13431,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X0) = X1
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1882]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13432,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.11 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X0) = X1 ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13431]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1880,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X1) = X0
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5938_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13427,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X1) = X0
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1880]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13428,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.11 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0),X0) = X1 ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13427]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1869,plain,
% 3.90/4.11 ( c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),X2)
% 3.90/4.11 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5942_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13405,plain,
% 3.90/4.11 ( c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),X2)
% 3.90/4.11 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1869]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13406,plain,
% 3.90/4.11 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.90/4.11 | c_Rings_Oinverse__class_Oinverse(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),X2) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13405]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1867,plain,
% 3.90/4.11 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2)
% 3.90/4.11 | ~ class_Rings_Oring(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5943_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13401,plain,
% 3.90/4.11 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2)
% 3.90/4.11 | ~ class_Rings_Oring(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1867]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13402,plain,
% 3.90/4.11 ( ~ class_Rings_Oring(X0)
% 3.90/4.11 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13401]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1863,plain,
% 3.90/4.11 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2)
% 3.90/4.11 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5945_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13393,plain,
% 3.90/4.11 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2)
% 3.90/4.11 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1863]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13394,plain,
% 3.90/4.11 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.90/4.11 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13393]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1860,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5946_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13387,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1860]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1858,plain,
% 3.90/4.11 ( c_Polynomial_Osmult(X0,X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2))
% 3.90/4.11 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5947_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13383,plain,
% 3.90/4.11 ( c_Polynomial_Osmult(X0,X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2))
% 3.90/4.11 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1858]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13384,plain,
% 3.90/4.11 ( ~ class_Rings_Ocomm__ring(X0)
% 3.90/4.11 | c_Polynomial_Osmult(X0,X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2)) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13383]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1856,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | X1 != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5948_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13379,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | X1 != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1856]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1853,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.11 | X2 != X0 ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5949_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13373,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.11 | X2 != X0 ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1853]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1850,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | X1 != X2 ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5950_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13367,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X0)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | X1 != X2 ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1850]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1842,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X1) = c_Divides_Odiv__class_Omod(X0,X2,X1)
% 3.90/4.11 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5952_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13351,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X1) = c_Divides_Odiv__class_Omod(X0,X2,X1)
% 3.90/4.11 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1842]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13352,plain,
% 3.90/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.11 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X1) = c_Divides_Odiv__class_Omod(X0,X2,X1) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13351]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1840,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 3.90/4.11 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5953_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13347,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 3.90/4.11 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1840]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13348,plain,
% 3.90/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.11 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13347]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1838,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 3.90/4.11 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5954_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13343,plain,
% 3.90/4.11 ( c_Divides_Odiv__class_Omod(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 3.90/4.11 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1838]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13344,plain,
% 3.90/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.11 | c_Divides_Odiv__class_Omod(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2) ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13343]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1834,plain,
% 3.90/4.11 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)) = X2
% 3.90/4.11 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5957_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13335,plain,
% 3.90/4.11 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)) = X2
% 3.90/4.11 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1834]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13336,plain,
% 3.90/4.11 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.11 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)) = X2 ),
% 3.90/4.11 inference(rewriting,[status(thm)],[c_13335]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1833,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 3.90/4.11 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5958_0) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13333,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 3.90/4.11 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1833]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1832,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.90/4.11 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5958_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13331,plain,
% 3.90/4.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.90/4.11 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1832]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1831,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5958_2) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13329,plain,
% 3.90/4.11 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
% 3.90/4.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1831]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1830,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5959_0) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13327,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1830]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1829,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2) ),
% 3.90/4.11 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5959_1) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_13325,plain,
% 3.90/4.11 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2) ),
% 3.90/4.11 inference(copy,[status(esa)],[c_1829]) ).
% 3.90/4.11
% 3.90/4.11 cnf(c_1828,plain,
% 3.90/4.11 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.11 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5959_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13323,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1828]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1823,plain,
% 3.90/4.12 ( 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))
% 3.90/4.12 | ~ class_Power_Opower(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5961_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13313,plain,
% 3.90/4.12 ( 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))
% 3.90/4.12 | ~ class_Power_Opower(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1823]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13314,plain,
% 3.90/4.12 ( ~ class_Power_Opower(X0)
% 3.90/4.12 | 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)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13313]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1819,plain,
% 3.90/4.12 ( 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))
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5963_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13305,plain,
% 3.90/4.12 ( 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))
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1819]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13306,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.12 | 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)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13305]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1815,plain,
% 3.90/4.12 ( c_Polynomial_Opos__poly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2))
% 3.90/4.12 | ~ c_Polynomial_Opos__poly(X0,X2)
% 3.90/4.12 | ~ c_Polynomial_Opos__poly(X0,X1)
% 3.90/4.12 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5964_3) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13297,plain,
% 3.90/4.12 ( c_Polynomial_Opos__poly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2))
% 3.90/4.12 | ~ c_Polynomial_Opos__poly(X0,X2)
% 3.90/4.12 | ~ c_Polynomial_Opos__poly(X0,X1)
% 3.90/4.12 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1815]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13298,plain,
% 3.90/4.12 ( ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.12 | c_Polynomial_Opos__poly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2))
% 3.90/4.12 | ~ c_Polynomial_Opos__poly(X0,X2)
% 3.90/4.12 | ~ c_Polynomial_Opos__poly(X0,X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13297]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1813,plain,
% 3.90/4.12 ( hAPP(c_Polynomial_Opoly(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1)),X2) = c_Groups_Ouminus__class_Ouminus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2))
% 3.90/4.12 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5966_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13293,plain,
% 3.90/4.12 ( hAPP(c_Polynomial_Opoly(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1)),X2) = c_Groups_Ouminus__class_Ouminus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2))
% 3.90/4.12 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1813]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13294,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__ring(X0)
% 3.90/4.12 | hAPP(c_Polynomial_Opoly(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1)),X2) = c_Groups_Ouminus__class_Ouminus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13293]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1811,plain,
% 3.90/4.12 ( hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1)),X2) = c_Groups_Ouminus__class_Ouminus(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),X2))
% 3.90/4.12 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5967_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13289,plain,
% 3.90/4.12 ( hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1)),X2) = c_Groups_Ouminus__class_Ouminus(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),X2))
% 3.90/4.12 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1811]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13290,plain,
% 3.90/4.12 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.12 | hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1)),X2) = c_Groups_Ouminus__class_Ouminus(X0,hAPP(c_Polynomial_Ocoeff(X0,X1),X2)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13289]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1785,plain,
% 3.90/4.12 ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Polynomial_Omonom(X0,X1,X2)) = c_Polynomial_Omonom(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.90/4.12 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5978_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13237,plain,
% 3.90/4.12 ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Polynomial_Omonom(X0,X1,X2)) = c_Polynomial_Omonom(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.90/4.12 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1785]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13238,plain,
% 3.90/4.12 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.12 | c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Polynomial_Omonom(X0,X1,X2)) = c_Polynomial_Omonom(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13237]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1783,plain,
% 3.90/4.12 ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2)) = c_Polynomial_Osmult(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.90/4.12 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5979_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13233,plain,
% 3.90/4.12 ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2)) = c_Polynomial_Osmult(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 3.90/4.12 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1783]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13234,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__ring(X0)
% 3.90/4.12 | c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2)) = c_Polynomial_Osmult(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13233]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1780,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5980_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13227,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1780]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13228,plain,
% 3.90/4.12 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.12 | c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13227]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1778,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5981_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13223,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1778]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13224,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X0 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13223]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1764,plain,
% 3.90/4.12 ( 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))
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5985_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13195,plain,
% 3.90/4.12 ( 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))
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1764]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13196,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.12 | 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)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13195]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1762,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.12 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5986_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13191,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.12 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1762]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13192,plain,
% 3.90/4.12 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.90/4.12 | c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13191]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1760,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5987_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13187,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1760]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13188,plain,
% 3.90/4.12 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.12 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13187]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1758,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.12 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5988_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13183,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 3.90/4.12 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1758]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13184,plain,
% 3.90/4.12 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.90/4.12 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13183]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1755,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5989_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13177,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1755]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13178,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13177]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1752,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5990_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13171,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1752]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13172,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.90/4.12 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13171]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1737,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5995_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13141,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1737]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13142,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13141]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1734,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5996_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13135,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1734]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13136,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.90/4.12 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13135]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1728,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5998_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13123,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1728]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13124,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.90/4.12 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 3.90/4.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13123]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1718,plain,
% 3.90/4.12 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X0
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6002_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13103,plain,
% 3.90/4.12 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X0
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1718]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13104,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.12 | c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X0 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13103]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1716,plain,
% 3.90/4.12 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.90/4.12 | ~ class_Rings_Oring(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6003_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13099,plain,
% 3.90/4.12 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.90/4.12 | ~ class_Rings_Oring(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1716]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13100,plain,
% 3.90/4.12 ( ~ class_Rings_Oring(X0)
% 3.90/4.12 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13099]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1712,plain,
% 3.90/4.12 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.90/4.12 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6005_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13091,plain,
% 3.90/4.12 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.90/4.12 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1712]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13092,plain,
% 3.90/4.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.90/4.12 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13091]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1702,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.90/4.12 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6009_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13071,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.90/4.12 | ~ class_Groups_Oordered__ab__group__add(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1702]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13072,plain,
% 3.90/4.12 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 3.90/4.12 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13071]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1697,plain,
% 3.90/4.12 ( 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)))
% 3.90/4.12 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6011_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13061,plain,
% 3.90/4.12 ( 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)))
% 3.90/4.12 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1697]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13062,plain,
% 3.90/4.12 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.12 | 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))) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13061]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1692,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Oplus__class_Oplus(X0,X1,X2)) = X2
% 3.90/4.12 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6013_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13051,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Oplus__class_Oplus(X0,X1,X2)) = X2
% 3.90/4.12 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1692]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13052,plain,
% 3.90/4.12 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Oplus__class_Oplus(X0,X1,X2)) = X2 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_13051]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1676,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | X0 != X2 ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6020_3) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13019,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | X0 != X2 ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1676]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1673,plain,
% 3.90/4.12 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.12 | X2 != X0 ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6021_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_13013,plain,
% 3.90/4.12 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.12 | X2 != X0 ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1673]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1638,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6032_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12943,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1638]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1635,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.12 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6033_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12937,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.12 | ~ class_Fields_Olinordered__field(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1635]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1620,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.90/4.12 | c_Polynomial_Osmult(X1,X2,X0) != c_Polynomial_OpCons(X1,X3,X0)
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__0(X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6038_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12907,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.90/4.12 | c_Polynomial_Osmult(X1,X2,X0) != c_Polynomial_OpCons(X1,X3,X0)
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__0(X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1620]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12908,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.12 | c_Polynomial_Osmult(X0,X1,X2) != c_Polynomial_OpCons(X0,X3,X2)
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12907]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1618,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),c_Groups_Ouminus__class_Ouminus(X0,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)
% 3.90/4.12 | ~ class_Rings_Oring(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6039_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12903,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),c_Groups_Ouminus__class_Ouminus(X0,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)
% 3.90/4.12 | ~ class_Rings_Oring(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1618]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12904,plain,
% 3.90/4.12 ( ~ class_Rings_Oring(X0)
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),c_Groups_Ouminus__class_Ouminus(X0,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12903]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1616,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.90/4.12 | ~ class_Rings_Oring(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6040_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12899,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 3.90/4.12 | ~ class_Rings_Oring(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1616]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12900,plain,
% 3.90/4.12 ( ~ class_Rings_Oring(X0)
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12899]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1598,plain,
% 3.90/4.12 ( c_Polynomial_Opos__poly(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2))
% 3.90/4.12 | ~ c_Polynomial_Opos__poly(X0,X2)
% 3.90/4.12 | ~ c_Polynomial_Opos__poly(X0,X1)
% 3.90/4.12 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6045_3) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12863,plain,
% 3.90/4.12 ( c_Polynomial_Opos__poly(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2))
% 3.90/4.12 | ~ c_Polynomial_Opos__poly(X0,X2)
% 3.90/4.12 | ~ c_Polynomial_Opos__poly(X0,X1)
% 3.90/4.12 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1598]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12864,plain,
% 3.90/4.12 ( ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.12 | c_Polynomial_Opos__poly(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2))
% 3.90/4.12 | ~ c_Polynomial_Opos__poly(X0,X2)
% 3.90/4.12 | ~ c_Polynomial_Opos__poly(X0,X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12863]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1596,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | 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) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6046_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12859,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | 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) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1596]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12860,plain,
% 3.90/4.12 ( 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)
% 3.90/4.12 | X1 = X2 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12859]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1571,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)) = c_Rings_Oinverse__class_Odivide(X0,X2,X1)
% 3.90/4.12 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6054_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12809,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)) = c_Rings_Oinverse__class_Odivide(X0,X2,X1)
% 3.90/4.12 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1571]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12810,plain,
% 3.90/4.12 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.90/4.12 | c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)) = c_Rings_Oinverse__class_Odivide(X0,X2,X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12809]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1569,plain,
% 3.90/4.12 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1)
% 3.90/4.12 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6055_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12805,plain,
% 3.90/4.12 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1)
% 3.90/4.12 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1569]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12806,plain,
% 3.90/4.12 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.12 | c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12805]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1567,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)))
% 3.90/4.12 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6056_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12801,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)))
% 3.90/4.12 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1567]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12802,plain,
% 3.90/4.12 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.12 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12801]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1552,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1)
% 3.90/4.12 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6061_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12771,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1)
% 3.90/4.12 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1552]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12772,plain,
% 3.90/4.12 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 3.90/4.12 | X2 = X3 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12771]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1549,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1)
% 3.90/4.12 | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6062_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12765,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1)
% 3.90/4.12 | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1549]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12766,plain,
% 3.90/4.12 ( ~ class_Groups_Ocancel__ab__semigroup__add(X0)
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 3.90/4.12 | X2 = X3 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12765]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1546,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X2,X0,X3) != c_Groups_Oplus__class_Oplus(X2,X1,X3)
% 3.90/4.12 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6063_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12759,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X2,X0,X3) != c_Groups_Oplus__class_Oplus(X2,X1,X3)
% 3.90/4.12 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1546]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12760,plain,
% 3.90/4.12 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 3.90/4.12 | X1 = X3 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12759]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1537,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6066_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12741,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1537]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12742,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12741]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1535,plain,
% 3.90/4.12 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | X0 = X1
% 3.90/4.12 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6067_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12737,plain,
% 3.90/4.12 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | X0 = X1
% 3.90/4.12 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1535]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12738,plain,
% 3.90/4.12 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | X0 = X1 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12737]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1525,plain,
% 3.90/4.12 ( hAPP(c_Polynomial_Ocoeff(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X2)
% 3.90/4.12 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6070_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12717,plain,
% 3.90/4.12 ( hAPP(c_Polynomial_Ocoeff(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X2)
% 3.90/4.12 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1525]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12718,plain,
% 3.90/4.12 ( ~ class_Groups_Ozero(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X2)
% 3.90/4.12 | hAPP(c_Polynomial_Ocoeff(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12717]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1523,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Opoly__gcd(X0,X1,X2),X2)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6071_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12713,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Opoly__gcd(X0,X1,X2),X2)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1523]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12714,plain,
% 3.90/4.12 ( ~ class_Fields_Ofield(X0)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Opoly__gcd(X0,X1,X2),X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12713]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1521,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Opoly__gcd(X0,X1,X2),X1)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6072_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12709,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Opoly__gcd(X0,X1,X2),X1)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1521]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12710,plain,
% 3.90/4.12 ( ~ class_Fields_Ofield(X0)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X0),c_Polynomial_Opoly__gcd(X0,X1,X2),X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12709]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1508,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2)
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6076_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12683,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2)
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1508]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12684,plain,
% 3.90/4.12 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.12 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2)
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12683]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1506,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6077_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12679,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1506]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12680,plain,
% 3.90/4.12 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12679]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1504,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6078_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12675,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1504]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12676,plain,
% 3.90/4.12 ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X1)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12675]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1502,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Odiv(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6079_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12671,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Odiv(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1502]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12672,plain,
% 3.90/4.12 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.12 | c_Divides_Odiv__class_Odiv(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12671]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1497,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1))
% 3.90/4.12 | ~ class_Rings_Olinordered__ring(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6081_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12661,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1))
% 3.90/4.12 | ~ class_Rings_Olinordered__ring(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1497]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12662,plain,
% 3.90/4.12 ( ~ class_Rings_Olinordered__ring(X0)
% 3.90/4.12 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12661]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1494,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = X1
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6082_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12655,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = X1
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1494]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12656,plain,
% 3.90/4.12 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.12 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = X1
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12655]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1491,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = X2
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6083_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12649,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = X2
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1491]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12650,plain,
% 3.90/4.12 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.12 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = X2
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12649]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1489,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.90/4.12 | X0 = X1
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6084_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12645,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.90/4.12 | X0 = X1
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1489]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12646,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 3.90/4.12 | X0 = X1 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12645]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1461,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6093_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12589,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1461]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12590,plain,
% 3.90/4.12 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | X1 = X0 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12589]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1462,plain,
% 3.90/4.12 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | X0 = X1
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6093_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12591,plain,
% 3.90/4.12 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | X0 = X1
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1462]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12592,plain,
% 3.90/4.12 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | X0 = X1 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12591]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1459,plain,
% 3.90/4.12 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1
% 3.90/4.12 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6094_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12585,plain,
% 3.90/4.12 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1
% 3.90/4.12 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1459]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12586,plain,
% 3.90/4.12 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.12 | c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12585]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1457,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1
% 3.90/4.12 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6095_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12581,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1
% 3.90/4.12 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1457]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12582,plain,
% 3.90/4.12 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12581]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1451,plain,
% 3.90/4.12 ( c_Polynomial_Odegree(X0,c_Polynomial_OpCons(X0,X1,X2)) = c_Nat_OSuc(c_Polynomial_Odegree(X0,X2))
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.12 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6097_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12569,plain,
% 3.90/4.12 ( c_Polynomial_Odegree(X0,c_Polynomial_OpCons(X0,X1,X2)) = c_Nat_OSuc(c_Polynomial_Odegree(X0,X2))
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.12 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1451]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12570,plain,
% 3.90/4.12 ( ~ class_Groups_Ozero(X0)
% 3.90/4.12 | c_Polynomial_Odegree(X0,c_Polynomial_OpCons(X0,X1,X2)) = c_Nat_OSuc(c_Polynomial_Odegree(X0,X2))
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12569]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1443,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6100_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12553,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1443]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12554,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 3.90/4.12 | X1 = X2 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12553]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1441,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6101_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12549,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1441]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12550,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 3.90/4.12 | X0 = X2 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12549]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1439,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6102_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12545,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1439]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12546,plain,
% 3.90/4.12 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.12 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12545]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1437,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6103_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12541,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1437]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12542,plain,
% 3.90/4.12 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.12 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12541]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1435,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2)
% 3.90/4.12 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6104_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12537,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2)
% 3.90/4.12 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1435]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12538,plain,
% 3.90/4.12 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.90/4.12 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12537]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1433,plain,
% 3.90/4.12 ( c_Polynomial_Odegree(X0,c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6105_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12533,plain,
% 3.90/4.12 ( c_Polynomial_Odegree(X0,c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1433]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12534,plain,
% 3.90/4.12 ( ~ class_Groups_Ozero(X0)
% 3.90/4.12 | c_Polynomial_Odegree(X0,c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12533]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1431,plain,
% 3.90/4.12 ( 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)))
% 3.90/4.12 | X0 != X1 ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6108_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12529,plain,
% 3.90/4.12 ( 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)))
% 3.90/4.12 | X0 != X1 ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1431]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1429,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6109_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12525,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1429]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12526,plain,
% 3.90/4.12 ( ~ class_Fields_Ofield(X0)
% 3.90/4.12 | c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12525]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1423,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.90/4.12 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6112_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12513,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.90/4.12 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1423]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1421,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.90/4.12 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6113_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12509,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.90/4.12 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1421]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1419,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6114_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12505,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1419]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12506,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12505]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1417,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6115_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12501,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1417]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12502,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12501]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1415,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk21_2(X0,X1)) = X1
% 3.90/4.12 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6117_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12497,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk21_2(X0,X1)) = X1
% 3.90/4.12 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1415]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1413,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),sk1_esk20_2(X0,X1)) = X1
% 3.90/4.12 | c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6118_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12493,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),sk1_esk20_2(X0,X1)) = X1
% 3.90/4.12 | c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1413]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1411,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6119_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12489,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1411]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1409,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6120_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12485,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,X0,X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1409]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1405,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.90/4.12 | c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X1),X0) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)))
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0)
% 3.90/4.12 | ~ class_Rings_Olinordered__idom(X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6125_3) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12477,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.90/4.12 | c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X1),X0) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)))
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0)
% 3.90/4.12 | ~ class_Rings_Olinordered__idom(X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1405]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12478,plain,
% 3.90/4.12 ( ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1)
% 3.90/4.12 | c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X0),X1) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0)))
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12477]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1401,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6127_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12469,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1401]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12470,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1))
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12469]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1388,plain,
% 3.90/4.12 ( c_Polynomial_Opoly__gcd(X0,X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Polynomial_Opoly__gcd(X0,X1,X2)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6131_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12443,plain,
% 3.90/4.12 ( c_Polynomial_Opoly__gcd(X0,X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Polynomial_Opoly__gcd(X0,X1,X2)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1388]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12444,plain,
% 3.90/4.12 ( ~ class_Fields_Ofield(X0)
% 3.90/4.12 | c_Polynomial_Opoly__gcd(X0,X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Polynomial_Opoly__gcd(X0,X1,X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12443]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1386,plain,
% 3.90/4.12 ( c_Polynomial_Opoly__gcd(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Polynomial_Opoly__gcd(X0,X1,X2)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6132_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12439,plain,
% 3.90/4.12 ( c_Polynomial_Opoly__gcd(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Polynomial_Opoly__gcd(X0,X1,X2)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1386]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12440,plain,
% 3.90/4.12 ( ~ class_Fields_Ofield(X0)
% 3.90/4.12 | c_Polynomial_Opoly__gcd(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Polynomial_Opoly__gcd(X0,X1,X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12439]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1366,plain,
% 3.90/4.12 ( 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))
% 3.90/4.12 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6138_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12399,plain,
% 3.90/4.12 ( 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))
% 3.90/4.12 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1366]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1360,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Divides_Osemiring__div(X0)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6140_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12387,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Divides_Osemiring__div(X0)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(X0,X2,X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1360]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12388,plain,
% 3.90/4.12 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.12 | c_Divides_Odiv__class_Omod(X0,X2,X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12387]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1340,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6145_3) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12347,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1340]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12348,plain,
% 3.90/4.12 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.12 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12347]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1336,plain,
% 3.90/4.12 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 3.90/4.12 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X3) != X2
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6146_3) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12339,plain,
% 3.90/4.12 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 3.90/4.12 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X3) != X2
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1336]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12340,plain,
% 3.90/4.12 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != X3
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | X1 = c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12339]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1333,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 3.90/4.12 | X0 != c_Nat_OSuc(X2) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6149_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12333,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 3.90/4.12 | X0 != c_Nat_OSuc(X2) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1333]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1324,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | X1 = X2
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6152_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12315,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | X1 = X2
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1324]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12316,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | X0 = X2 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12315]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1321,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | X1 = X2
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6153_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12309,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | X1 = X2
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1321]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12310,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 3.90/4.12 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | X1 = X2 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12309]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1319,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))),X1) = c_Groups_Ouminus__class_Ouminus(X0,X1)
% 3.90/4.12 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6154_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12305,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))),X1) = c_Groups_Ouminus__class_Ouminus(X0,X1)
% 3.90/4.12 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1319]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12306,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__ring__1(X0)
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))),X1) = c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12305]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1311,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1))
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6157_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12289,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1))
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1311]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1302,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6160_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12271,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1302]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12272,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | X1 = X0 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12271]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1299,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6161_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12265,plain,
% 3.90/4.12 ( X0 = X1
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1299]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12266,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | X0 = X1 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12265]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1290,plain,
% 3.90/4.12 ( c_Polynomial_Odegree(X0,c_Polynomial_Osmult(X0,X1,X2)) = c_Polynomial_Odegree(X0,X2)
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6164_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12247,plain,
% 3.90/4.12 ( c_Polynomial_Odegree(X0,c_Polynomial_Osmult(X0,X1,X2)) = c_Polynomial_Odegree(X0,X2)
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1290]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12248,plain,
% 3.90/4.12 ( ~ class_Rings_Oidom(X0)
% 3.90/4.12 | c_Polynomial_Odegree(X0,c_Polynomial_Osmult(X0,X1,X2)) = c_Polynomial_Odegree(X0,X2)
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12247]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1288,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6165_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12243,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1288]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12244,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12243]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1285,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.12 | X2 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)
% 3.90/4.12 | ~ class_Rings_Odvd(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6166_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12237,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.12 | X2 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)
% 3.90/4.12 | ~ class_Rings_Odvd(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1285]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12238,plain,
% 3.90/4.12 ( ~ class_Rings_Odvd(X0)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(X0,X1,X2)
% 3.90/4.12 | X2 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12237]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1278,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6169_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12223,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1278]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1276,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 3.90/4.12 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6170_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12219,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 3.90/4.12 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1276]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12220,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__ring__1(X0)
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12219]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1274,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 3.90/4.12 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6171_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12215,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 3.90/4.12 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1274]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12216,plain,
% 3.90/4.12 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12215]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1272,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 3.90/4.12 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6172_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12211,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 3.90/4.12 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1272]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12212,plain,
% 3.90/4.12 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12211]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1270,plain,
% 3.90/4.12 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,X1,X2)
% 3.90/4.12 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6173_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12207,plain,
% 3.90/4.12 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,X1,X2)
% 3.90/4.12 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1270]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12208,plain,
% 3.90/4.12 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.12 | c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,X1,X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12207]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1268,plain,
% 3.90/4.12 ( c_Polynomial_Odegree(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2)) = c_Polynomial_Odegree(X0,X1)
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6174_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12203,plain,
% 3.90/4.12 ( c_Polynomial_Odegree(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2)) = c_Polynomial_Odegree(X0,X1)
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1268]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12204,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.12 | c_Polynomial_Odegree(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2)) = c_Polynomial_Odegree(X0,X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12203]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1252,plain,
% 3.90/4.12 ( X0 != X1
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6182_0) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12171,plain,
% 3.90/4.12 ( X0 != X1
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1252]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12172,plain,
% 3.90/4.12 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | X1 != X0 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12171]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1249,plain,
% 3.90/4.12 ( X0 != X1
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6183_0) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12165,plain,
% 3.90/4.12 ( X0 != X1
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1249]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12166,plain,
% 3.90/4.12 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | X0 != X1 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12165]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1257,plain,
% 3.90/4.12 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.12 | X1 != X2 ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6180_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12181,plain,
% 3.90/4.12 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X2)
% 3.90/4.12 | X1 != X2 ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1257]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1253,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.12 | X0 != X2 ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6181_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12173,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)
% 3.90/4.12 | X0 != X2 ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1253]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1250,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | X0 != X1 ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6182_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12167,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | X0 != X1 ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1250]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1247,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | X1 != X0 ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6183_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12161,plain,
% 3.90/4.12 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | X1 != X0 ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1247]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1245,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2)
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6184_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12157,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2)
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1245]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12158,plain,
% 3.90/4.12 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12157]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1243,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6185_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12153,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1243]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12154,plain,
% 3.90/4.12 ( ~ class_Fields_Ofield(X0)
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12153]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1240,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 3.90/4.12 | X0 = X1
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6186_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12147,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 3.90/4.12 | X0 = X1
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1240]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12148,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 3.90/4.12 | X0 = X1 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12147]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1238,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6187_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12143,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1238]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12144,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12143]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1216,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1) = X0
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6195_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12099,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1) = X0
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1216]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12100,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1) = X0 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12099]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1214,plain,
% 3.90/4.12 ( c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Polynomial_Omonom(X0,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.90/4.12 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6196_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12095,plain,
% 3.90/4.12 ( c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Polynomial_Omonom(X0,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 3.90/4.12 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1214]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12096,plain,
% 3.90/4.12 ( ~ class_Groups_Ozero(X0)
% 3.90/4.12 | c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Polynomial_Omonom(X0,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12095]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1208,plain,
% 3.90/4.12 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))
% 3.90/4.12 | ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6198_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12083,plain,
% 3.90/4.12 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))
% 3.90/4.12 | ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1208]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12084,plain,
% 3.90/4.12 ( ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12083]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1206,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6199_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12079,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1206]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1200,plain,
% 3.90/4.12 ( c_Polynomial_Odegree(X0,c_Polynomial_Omonom(X0,X1,X2)) = X2
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6201_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12067,plain,
% 3.90/4.12 ( c_Polynomial_Odegree(X0,c_Polynomial_Omonom(X0,X1,X2)) = X2
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1200]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12068,plain,
% 3.90/4.12 ( ~ class_Groups_Ozero(X0)
% 3.90/4.12 | c_Polynomial_Odegree(X0,c_Polynomial_Omonom(X0,X1,X2)) = X2
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12067]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1198,plain,
% 3.90/4.12 ( 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))
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6202_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12063,plain,
% 3.90/4.12 ( 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))
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1198]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12064,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.12 | 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)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12063]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1196,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.90/4.12 | X0 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6203_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12059,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 3.90/4.12 | X0 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1196]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1194,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | X0 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6204_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12055,plain,
% 3.90/4.12 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | X0 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1194]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1188,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.90/4.12 | hAPP(c_Polynomial_Ocoeff(X1,X0),c_Polynomial_Odegree(X1,X0)) != c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.12 | ~ class_Groups_Ozero(X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6208_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12043,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 3.90/4.12 | hAPP(c_Polynomial_Ocoeff(X1,X0),c_Polynomial_Odegree(X1,X0)) != c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.12 | ~ class_Groups_Ozero(X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1188]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12044,plain,
% 3.90/4.12 ( ~ class_Groups_Ozero(X0)
% 3.90/4.12 | hAPP(c_Polynomial_Ocoeff(X0,X1),c_Polynomial_Odegree(X0,X1)) != c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12043]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1185,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | c_Nat_OSuc(sk1_esk15_2(X1,X0)) = X0
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6209_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12037,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | c_Nat_OSuc(sk1_esk15_2(X1,X0)) = X0
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1185]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12038,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.90/4.12 | c_Nat_OSuc(sk1_esk15_2(X1,X0)) = X0
% 3.90/4.12 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12037]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1183,plain,
% 3.90/4.12 ( X0 = X1 | hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6210_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12033,plain,
% 3.90/4.12 ( X0 = X1 | hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1183]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_12034,plain,
% 3.90/4.12 ( hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) | X0 = X1 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_12033]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1143,plain,
% 3.90/4.12 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.12 | ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6220_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11953,plain,
% 3.90/4.12 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.12 | ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1143]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11954,plain,
% 3.90/4.12 ( ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.12 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Oone__class_Oone(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11953]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1140,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6221_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11947,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1140]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11948,plain,
% 3.90/4.12 ( ~ class_Fields_Ofield(X0)
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11947]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1137,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6222_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11941,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1137]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11942,plain,
% 3.90/4.12 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)),X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11941]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1126,plain,
% 3.90/4.12 ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sk1_esk6_1(X0)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 3.90/4.12 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,X0)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6226_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11919,plain,
% 3.90/4.12 ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sk1_esk6_1(X0)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 3.90/4.12 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,X0)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1126]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11920,plain,
% 3.90/4.12 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,X0))
% 3.90/4.12 | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sk1_esk6_1(X0)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11919]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1121,plain,
% 3.90/4.12 ( 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)
% 3.90/4.12 | X1 != X2 ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6228_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11909,plain,
% 3.90/4.12 ( 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)
% 3.90/4.12 | X1 != X2 ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1121]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1108,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.90/4.12 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.90/4.12 | X2 = X1
% 3.90/4.12 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6232_3) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11883,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.90/4.12 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.90/4.12 | X2 = X1
% 3.90/4.12 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1108]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11884,plain,
% 3.90/4.12 ( ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.12 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 3.90/4.12 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 3.90/4.12 | X2 = X1 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11883]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1106,plain,
% 3.90/4.12 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X1,X2)
% 3.90/4.12 | hAPP(X2,sk1_esk3_1(X2)) != hAPP(X2,sk1_esk2_1(X2)) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6233_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11879,plain,
% 3.90/4.12 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X1,X2)
% 3.90/4.12 | hAPP(X2,sk1_esk3_1(X2)) != hAPP(X2,sk1_esk2_1(X2)) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1106]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1098,plain,
% 3.90/4.12 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = c_Polynomial_Opoly__gcd(X0,X2,X1)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6238_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11863,plain,
% 3.90/4.12 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = c_Polynomial_Opoly__gcd(X0,X2,X1)
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1098]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11864,plain,
% 3.90/4.12 ( ~ class_Fields_Ofield(X0)
% 3.90/4.12 | c_Polynomial_Opoly__gcd(X0,X1,X2) = c_Polynomial_Opoly__gcd(X0,X2,X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11863]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1096,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1)
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6239_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11859,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1)
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1096]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11860,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11859]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1084,plain,
% 3.90/4.12 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6243_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11835,plain,
% 3.90/4.12 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1084]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11836,plain,
% 3.90/4.12 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.12 | c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 3.90/4.12 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11835]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1082,plain,
% 3.90/4.12 ( hAPP(X0,X1) = hAPP(X0,X2)
% 3.90/4.12 | ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X3,X4,X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6244_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11831,plain,
% 3.90/4.12 ( hAPP(X0,X1) = hAPP(X0,X2)
% 3.90/4.12 | ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X3,X4,X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1082]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11832,plain,
% 3.90/4.12 ( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X1,X2)
% 3.90/4.12 | hAPP(X2,X3) = hAPP(X2,X4) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11831]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1071,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6248_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11809,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1071]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1069,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6249_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11805,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1069]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11806,plain,
% 3.90/4.12 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11805]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1067,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6250_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11801,plain,
% 3.90/4.12 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.12 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1067]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11802,plain,
% 3.90/4.12 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11801]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1065,plain,
% 3.90/4.12 ( 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))
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6251_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11797,plain,
% 3.90/4.12 ( 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))
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1065]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11798,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.12 | 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)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11797]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1063,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6252_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11793,plain,
% 3.90/4.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1063]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11794,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11793]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1052,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = X2
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Oone__class_Oone(X0)
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6256_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11771,plain,
% 3.90/4.12 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = X2
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Oone__class_Oone(X0)
% 3.90/4.12 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1052]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11772,plain,
% 3.90/4.12 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Oone__class_Oone(X0)
% 3.90/4.12 | c_Rings_Oinverse__class_Oinverse(X0,X1) = X2 ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11771]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1050,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 3.90/4.12 | X1 != X2 ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6257_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11767,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 3.90/4.12 | X1 != X2 ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1050]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1048,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 3.90/4.12 | X0 != X2 ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6258_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11763,plain,
% 3.90/4.12 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 3.90/4.12 | X0 != X2 ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1048]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1046,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 3.90/4.12 | X0 = X1 ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6259_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11759,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 3.90/4.12 | X0 = X1 ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1046]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1039,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | X1 = X0 ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6261_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11745,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 3.90/4.12 | X1 = X0 ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1039]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1037,plain,
% 3.90/4.12 ( c_Polynomial_Opoly__gcd(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6262_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11741,plain,
% 3.90/4.12 ( c_Polynomial_Opoly__gcd(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.12 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1037]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11742,plain,
% 3.90/4.12 ( ~ class_Fields_Ofield(X0)
% 3.90/4.12 | c_Polynomial_Opoly__gcd(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11741]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1034,plain,
% 3.90/4.12 ( hAPP(c_Polynomial_Opoly(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | c_Polynomial_Oorder(X0,X2,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6263_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11735,plain,
% 3.90/4.12 ( hAPP(c_Polynomial_Opoly(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | c_Polynomial_Oorder(X0,X2,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.12 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1034]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11736,plain,
% 3.90/4.12 ( ~ class_Rings_Oidom(X0)
% 3.90/4.12 | hAPP(c_Polynomial_Opoly(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | c_Polynomial_Oorder(X0,X2,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11735]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1023,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__1(X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6266_2) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11713,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 3.90/4.12 | ~ class_Rings_Ocomm__semiring__1(X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1023]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11714,plain,
% 3.90/4.12 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.12 | ~ c_Rings_Odvd__class_Odvd(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11713]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_1015,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.12 | c_Groups_Osgn__class_Osgn(X1,X0) = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))
% 3.90/4.12 | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 3.90/4.12 | ~ class_Groups_Osgn__if(X1) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6268_3) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11697,plain,
% 3.90/4.12 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.12 | c_Groups_Osgn__class_Osgn(X1,X0) = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))
% 3.90/4.12 | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 3.90/4.12 | ~ class_Groups_Osgn__if(X1) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_1015]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11698,plain,
% 3.90/4.12 ( ~ class_Groups_Osgn__if(X0)
% 3.90/4.12 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 3.90/4.12 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(rewriting,[status(thm)],[c_11697]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_995,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.90/4.12 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6275_1) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11657,plain,
% 3.90/4.12 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 3.90/4.12 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_995]) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_986,plain,
% 3.90/4.12 ( ~ class_Rings_Ono__zero__divisors(X0)
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6279_0) ).
% 3.90/4.12
% 3.90/4.12 cnf(c_11639,plain,
% 3.90/4.12 ( ~ class_Rings_Ono__zero__divisors(X0)
% 3.90/4.12 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.12 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.12 inference(copy,[status(esa)],[c_986]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_983,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.13 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.13 | ~ class_Rings_Ono__zero__divisors(X1) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6279_3) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11633,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.13 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.13 | ~ class_Rings_Ono__zero__divisors(X1) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_983]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11634,plain,
% 3.90/4.13 ( ~ class_Rings_Ono__zero__divisors(X0)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11633]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_981,plain,
% 3.90/4.13 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1)
% 3.90/4.13 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6280_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11629,plain,
% 3.90/4.13 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1)
% 3.90/4.13 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_981]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11630,plain,
% 3.90/4.13 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.13 | c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11629]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_957,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.13 | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6290_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11581,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.13 | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_957]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11582,plain,
% 3.90/4.13 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 3.90/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11581]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_955,plain,
% 3.90/4.13 ( c_Nat_OSuc(sk1_esk16_1(X0)) = X0
% 3.90/4.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6291_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11577,plain,
% 3.90/4.13 ( c_Nat_OSuc(sk1_esk16_1(X0)) = X0
% 3.90/4.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_955]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11578,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.13 | c_Nat_OSuc(sk1_esk16_1(X0)) = X0 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11577]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_937,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 3.90/4.13 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6297_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11541,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 3.90/4.13 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_937]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_935,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 3.90/4.13 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6298_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11537,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 3.90/4.13 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_935]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_920,plain,
% 3.90/4.13 ( c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6302_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11507,plain,
% 3.90/4.13 ( c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_920]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11508,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11507]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_918,plain,
% 3.90/4.13 ( c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6303_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11503,plain,
% 3.90/4.13 ( c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_918]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11504,plain,
% 3.90/4.13 ( ~ class_Groups_Ozero(X0)
% 3.90/4.13 | c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11503]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_911,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 3.90/4.13 | X0 != X2 ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6306_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11489,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 3.90/4.13 | X0 != X2 ),
% 3.90/4.13 inference(copy,[status(esa)],[c_911]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_909,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 3.90/4.13 | X1 != X2 ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6307_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11485,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 3.90/4.13 | X1 != X2 ),
% 3.90/4.13 inference(copy,[status(esa)],[c_909]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_903,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6309_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11473,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_903]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11474,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11473]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_901,plain,
% 3.90/4.13 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6310_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11469,plain,
% 3.90/4.13 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_901]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11470,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.13 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11469]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_895,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6312_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11457,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_895]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11458,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11457]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_893,plain,
% 3.90/4.13 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6313_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11453,plain,
% 3.90/4.13 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_893]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11454,plain,
% 3.90/4.13 ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 3.90/4.13 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11453]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_887,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6318_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11441,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_887]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11442,plain,
% 3.90/4.13 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11441]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_885,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6319_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11437,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_885]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11438,plain,
% 3.90/4.13 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11437]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_883,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6320_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11433,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_883]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11434,plain,
% 3.90/4.13 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11433]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_880,plain,
% 3.90/4.13 ( hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6321_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11427,plain,
% 3.90/4.13 ( hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_880]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11428,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11427]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_878,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6322_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11423,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_878]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11424,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11423]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_876,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6323_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11419,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_876]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11420,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11419]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_871,plain,
% 3.90/4.13 ( c_Polynomial_Opoly__gcd(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6325_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11409,plain,
% 3.90/4.13 ( c_Polynomial_Opoly__gcd(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_871]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11410,plain,
% 3.90/4.13 ( ~ class_Fields_Ofield(X0)
% 3.90/4.13 | c_Polynomial_Opoly__gcd(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11409]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_869,plain,
% 3.90/4.13 ( c_Polynomial_Opoly__gcd(X0,X1,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6326_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11405,plain,
% 3.90/4.13 ( c_Polynomial_Opoly__gcd(X0,X1,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_869]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11406,plain,
% 3.90/4.13 ( ~ class_Fields_Ofield(X0)
% 3.90/4.13 | c_Polynomial_Opoly__gcd(X0,X1,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11405]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_867,plain,
% 3.90/4.13 ( c_Polynomial_Osynthetic__div(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6327_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11401,plain,
% 3.90/4.13 ( c_Polynomial_Osynthetic__div(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_867]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11402,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.13 | c_Polynomial_Osynthetic__div(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11401]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_865,plain,
% 3.90/4.13 ( c_Polynomial_Opcompose(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6328_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11397,plain,
% 3.90/4.13 ( c_Polynomial_Opcompose(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_865]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11398,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.13 | c_Polynomial_Opcompose(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11397]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_863,plain,
% 3.90/4.13 ( c_Polynomial_Osmult(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6329_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11393,plain,
% 3.90/4.13 ( c_Polynomial_Osmult(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_863]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11394,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.13 | c_Polynomial_Osmult(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11393]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_861,plain,
% 3.90/4.13 ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6330_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11389,plain,
% 3.90/4.13 ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_861]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11390,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.13 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11389]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_853,plain,
% 3.90/4.13 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6333_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11373,plain,
% 3.90/4.13 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_853]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11374,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 3.90/4.13 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11373]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_838,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != X1 ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6338_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11343,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != X1 ),
% 3.90/4.13 inference(copy,[status(esa)],[c_838]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11344,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != X0
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11343]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_836,plain,
% 3.90/4.13 ( hAPP(c_Polynomial_Opoly(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6342_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11339,plain,
% 3.90/4.13 ( hAPP(c_Polynomial_Opoly(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_836]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11340,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | hAPP(c_Polynomial_Opoly(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Oone__class_Oone(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11339]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_834,plain,
% 3.90/4.13 ( hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6343_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11335,plain,
% 3.90/4.13 ( hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_834]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11336,plain,
% 3.90/4.13 ( ~ class_Groups_Ozero(X0)
% 3.90/4.13 | hAPP(c_Polynomial_Ocoeff(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11335]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_832,plain,
% 3.90/4.13 ( hAPP(c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6344_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11331,plain,
% 3.90/4.13 ( hAPP(c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_832]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11332,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.13 | hAPP(c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11331]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_830,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) | X0 != X1 ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6345_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11327,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) | X0 != X1 ),
% 3.90/4.13 inference(copy,[status(esa)],[c_830]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_824,plain,
% 3.90/4.13 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6348_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11315,plain,
% 3.90/4.13 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_824]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11316,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11315]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_822,plain,
% 3.90/4.13 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6349_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11311,plain,
% 3.90/4.13 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_822]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11312,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) | X1 != X0 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11311]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_820,plain,
% 3.90/4.13 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Osgn__class_Osgn(X0,X1))
% 3.90/4.13 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6350_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11307,plain,
% 3.90/4.13 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Osgn__class_Osgn(X0,X1))
% 3.90/4.13 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_820]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11308,plain,
% 3.90/4.13 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.90/4.13 | c_Groups_Osgn__class_Osgn(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Osgn__class_Osgn(X0,X1)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11307]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_815,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.90/4.13 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6352_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11297,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1))
% 3.90/4.13 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_815]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11298,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11297]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_813,plain,
% 3.90/4.13 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1
% 3.90/4.13 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6353_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11293,plain,
% 3.90/4.13 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1
% 3.90/4.13 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_813]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11294,plain,
% 3.90/4.13 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.13 | c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11293]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_811,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6354_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11289,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_811]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11290,plain,
% 3.90/4.13 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11289]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_809,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = X1
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6355_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11285,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = X1
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_809]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11286,plain,
% 3.90/4.13 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11285]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_801,plain,
% 3.90/4.13 ( c_Polynomial_Opos__poly(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1))
% 3.90/4.13 | c_Polynomial_Opos__poly(X0,X1)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6357_3) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11269,plain,
% 3.90/4.13 ( c_Polynomial_Opos__poly(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1))
% 3.90/4.13 | c_Polynomial_Opos__poly(X0,X1)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_801]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11270,plain,
% 3.90/4.13 ( ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.13 | c_Polynomial_Opos__poly(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1))
% 3.90/4.13 | c_Polynomial_Opos__poly(X0,X1)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11269]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_800,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6358_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11267,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_800]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_798,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6358_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11263,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_798]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11264,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11263]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_796,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Rings_Oinverse__class_Oinverse(X0,X1)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6361_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11259,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Rings_Oinverse__class_Oinverse(X0,X1)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_796]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11260,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Rings_Oinverse__class_Oinverse(X0,X1) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11259]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_794,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Rings_Oinverse__class_Oinverse(X0,X1)
% 3.90/4.13 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6362_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11255,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Rings_Oinverse__class_Oinverse(X0,X1)
% 3.90/4.13 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_794]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11256,plain,
% 3.90/4.13 ( ~ class_Fields_Ofield(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Rings_Oinverse__class_Oinverse(X0,X1) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11255]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_792,plain,
% 3.90/4.13 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ouminus__class_Ouminus(X0,X1)
% 3.90/4.13 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6363_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11251,plain,
% 3.90/4.13 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ouminus__class_Ouminus(X0,X1)
% 3.90/4.13 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_792]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11252,plain,
% 3.90/4.13 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.13 | c_Groups_Ominus__class_Ominus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11251]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_789,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0 ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6364_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11245,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0 ),
% 3.90/4.13 inference(copy,[status(esa)],[c_789]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11246,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0
% 3.90/4.13 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11245]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_783,plain,
% 3.90/4.13 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6368_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11233,plain,
% 3.90/4.13 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_783]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11234,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11233]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_781,plain,
% 3.90/4.13 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6369_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11229,plain,
% 3.90/4.13 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_781]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11230,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11229]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_744,plain,
% 3.90/4.13 ( c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0)
% 3.90/4.13 | ~ class_Power_Opower(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6382_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11155,plain,
% 3.90/4.13 ( c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0)
% 3.90/4.13 | ~ class_Power_Opower(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_744]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11156,plain,
% 3.90/4.13 ( ~ class_Power_Opower(X0)
% 3.90/4.13 | c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11155]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_742,plain,
% 3.90/4.13 ( c_Polynomial_Osmult(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6383_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11151,plain,
% 3.90/4.13 ( c_Polynomial_Osmult(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_742]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11152,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.13 | c_Polynomial_Osmult(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11151]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_740,plain,
% 3.90/4.13 ( c_Polynomial_Omonom(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6384_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11147,plain,
% 3.90/4.13 ( c_Polynomial_Omonom(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_740]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11148,plain,
% 3.90/4.13 ( ~ class_Groups_Ozero(X0)
% 3.90/4.13 | c_Polynomial_Omonom(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11147]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_730,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6388_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11127,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_730]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11128,plain,
% 3.90/4.13 ( ~ class_Groups_Omonoid__mult(X0)
% 3.90/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11127]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_726,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6390_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11119,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_726]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11120,plain,
% 3.90/4.13 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11119]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_724,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Omult__zero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6391_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11115,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Omult__zero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_724]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11116,plain,
% 3.90/4.13 ( ~ class_Rings_Omult__zero(X0)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11115]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_722,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6392_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11111,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_722]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11112,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11111]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_716,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6394_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11099,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_716]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11100,plain,
% 3.90/4.13 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11099]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_711,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6396_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11089,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__semidom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_711]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11090,plain,
% 3.90/4.13 ( ~ class_Rings_Olinordered__semidom(X0)
% 3.90/4.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11089]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_703,plain,
% 3.90/4.13 ( c_Polynomial_Odegree(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1)) = c_Polynomial_Odegree(X0,X1)
% 3.90/4.13 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6399_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11073,plain,
% 3.90/4.13 ( c_Polynomial_Odegree(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1)) = c_Polynomial_Odegree(X0,X1)
% 3.90/4.13 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_703]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11074,plain,
% 3.90/4.13 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.13 | c_Polynomial_Odegree(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1)) = c_Polynomial_Odegree(X0,X1) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11073]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_701,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6400_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11069,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_701]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11070,plain,
% 3.90/4.13 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11069]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_699,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 3.90/4.13 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6401_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11065,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 3.90/4.13 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_699]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11066,plain,
% 3.90/4.13 ( ~ class_Groups_Omonoid__mult(X0)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11065]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_697,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6402_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11061,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_697]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11062,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11061]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_695,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6403_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11057,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_695]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11058,plain,
% 3.90/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.13 | c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11057]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_693,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6404_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11053,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_693]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11054,plain,
% 3.90/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.13 | c_Divides_Odiv__class_Odiv(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11053]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_691,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Oone__class_Oone(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6405_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11049,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Oone__class_Oone(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_691]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11050,plain,
% 3.90/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.13 | c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Oone__class_Oone(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11049]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_689,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6406_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11045,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_689]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11046,plain,
% 3.90/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.13 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11045]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_687,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6407_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11041,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_687]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11042,plain,
% 3.90/4.13 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11041]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_685,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6408_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11037,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_685]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11038,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11037]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_683,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6409_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11033,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_683]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11034,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11033]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_669,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Odiv(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6414_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11005,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Odiv(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_669]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11006,plain,
% 3.90/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.13 | c_Divides_Odiv__class_Odiv(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_11005]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_666,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6415_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10999,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_666]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_11000,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10999]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_663,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6416_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10993,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_663]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10994,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10993]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_656,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6419_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10979,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_656]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10980,plain,
% 3.90/4.13 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10979]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_654,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Omult__zero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6420_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10975,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Omult__zero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_654]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10976,plain,
% 3.90/4.13 ( ~ class_Rings_Omult__zero(X0)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10975]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_652,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6421_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10971,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_652]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10972,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10971]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_638,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6426_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10943,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_638]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10944,plain,
% 3.90/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.13 | c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10943]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_636,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6427_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10939,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_636]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10940,plain,
% 3.90/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.13 | c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10939]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_634,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6428_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10935,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_634]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10936,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10935]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_632,plain,
% 3.90/4.13 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 3.90/4.13 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6429_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10931,plain,
% 3.90/4.13 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 3.90/4.13 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_632]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10932,plain,
% 3.90/4.13 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.13 | c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10931]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_630,plain,
% 3.90/4.13 ( c_Polynomial_Osmult(X0,c_Groups_Oone__class_Oone(X0),X1) = X1
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6430_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10927,plain,
% 3.90/4.13 ( c_Polynomial_Osmult(X0,c_Groups_Oone__class_Oone(X0),X1) = X1
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_630]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10928,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | c_Polynomial_Osmult(X0,c_Groups_Oone__class_Oone(X0),X1) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10927]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_628,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6431_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10923,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_628]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10924,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10923]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_626,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6432_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10919,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_626]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10920,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10919]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_624,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6433_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10915,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_624]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10916,plain,
% 3.90/4.13 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10915]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_622,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 3.90/4.13 | ~ class_Groups_Omonoid__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6434_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10911,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 3.90/4.13 | ~ class_Groups_Omonoid__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_622]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10912,plain,
% 3.90/4.13 ( ~ class_Groups_Omonoid__add(X0)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10911]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_620,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6435_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10907,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_620]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10908,plain,
% 3.90/4.13 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10907]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_618,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 3.90/4.13 | ~ class_Groups_Omonoid__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6436_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10903,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 3.90/4.13 | ~ class_Groups_Omonoid__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_618]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10904,plain,
% 3.90/4.13 ( ~ class_Groups_Omonoid__add(X0)
% 3.90/4.13 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10903]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_616,plain,
% 3.90/4.13 ( c_Rings_Odvd__class_Odvd(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6437_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10899,plain,
% 3.90/4.13 ( c_Rings_Odvd__class_Odvd(X0,c_Groups_Oone__class_Oone(X0),X1)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_616]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10900,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | c_Rings_Odvd__class_Odvd(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10899]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_614,plain,
% 3.90/4.13 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6438_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10895,plain,
% 3.90/4.13 ( c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_614]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10896,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | c_Rings_Odvd__class_Odvd(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10895]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_611,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6440_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10889,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_611]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_609,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | ~ class_Power_Opower(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6441_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10885,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | ~ class_Power_Opower(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_609]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10886,plain,
% 3.90/4.13 ( ~ class_Power_Opower(X0)
% 3.90/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10885]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_607,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6442_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10881,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_607]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10882,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10881]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_605,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6443_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10877,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_605]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10878,plain,
% 3.90/4.13 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10877]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_603,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 3.90/4.13 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6444_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10873,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 3.90/4.13 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_603]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10874,plain,
% 3.90/4.13 ( ~ class_Groups_Omonoid__mult(X0)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10873]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_601,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6445_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10869,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_601]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10870,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10869]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_597,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Omod(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6448_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10861,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Omod(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Divides_Osemiring__div(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_597]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10862,plain,
% 3.90/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.90/4.13 | c_Divides_Odiv__class_Omod(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10861]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_595,plain,
% 3.90/4.13 ( c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6449_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10857,plain,
% 3.90/4.13 ( c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_595]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10858,plain,
% 3.90/4.13 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.13 | c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10857]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_593,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.90/4.13 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6451_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10853,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.90/4.13 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_593]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_591,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.13 | X0 != c_Nat_OSuc(X1) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6452_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10849,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.13 | X0 != c_Nat_OSuc(X1) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_591]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_589,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Rings_Oinverse__class_Oinverse(X0,X2)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | X1 = X2
% 3.90/4.13 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6453_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10845,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Rings_Oinverse__class_Oinverse(X0,X2)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | X1 = X2
% 3.90/4.13 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_589]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10846,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Rings_Oinverse__class_Oinverse(X0,X2)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | X1 = X2 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10845]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_584,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 3.90/4.13 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6454_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10835,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 3.90/4.13 | ~ class_Groups_Omonoid__mult(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_584]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10836,plain,
% 3.90/4.13 ( ~ class_Groups_Omonoid__mult(X0)
% 3.90/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10835]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_582,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6455_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10831,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_582]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10832,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10831]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_580,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.90/4.13 | X0 != X1 ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6457_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10827,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 3.90/4.13 | X0 != X1 ),
% 3.90/4.13 inference(copy,[status(esa)],[c_580]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_577,plain,
% 3.90/4.13 ( c_Nat_OSuc(c_Polynomial_Odegree(X0,X1)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6458_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10821,plain,
% 3.90/4.13 ( c_Nat_OSuc(c_Polynomial_Odegree(X0,X1)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_577]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10822,plain,
% 3.90/4.13 ( ~ class_Groups_Ozero(X0)
% 3.90/4.13 | c_Nat_OSuc(c_Polynomial_Odegree(X0,X1)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10821]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_573,plain,
% 3.90/4.13 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 3.90/4.13 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6461_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10813,plain,
% 3.90/4.13 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 3.90/4.13 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_573]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_571,plain,
% 3.90/4.13 ( c_Rings_Odvd__class_Odvd(X0,X1,X1)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6462_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10809,plain,
% 3.90/4.13 ( c_Rings_Odvd__class_Odvd(X0,X1,X1)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_571]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10810,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | c_Rings_Odvd__class_Odvd(X0,X1,X1) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10809]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_569,plain,
% 3.90/4.13 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Osgn__class_Osgn(X0,X1)
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6463_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10805,plain,
% 3.90/4.13 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Osgn__class_Osgn(X0,X1)
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_569]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10806,plain,
% 3.90/4.13 ( ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.13 | c_Groups_Osgn__class_Osgn(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Osgn__class_Osgn(X0,X1) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10805]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_559,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6466_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10785,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_559]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_555,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.13 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6468_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10777,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 3.90/4.13 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_555]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_553,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = X1
% 3.90/4.13 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6471_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10773,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = X1
% 3.90/4.13 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_553]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_551,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.90/4.13 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6472_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10769,plain,
% 3.90/4.13 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 3.90/4.13 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_551]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_547,plain,
% 3.90/4.13 ( ~ c_Polynomial_Opos__poly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6479_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10761,plain,
% 3.90/4.13 ( ~ c_Polynomial_Opos__poly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_547]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10762,plain,
% 3.90/4.13 ( ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.13 | ~ c_Polynomial_Opos__poly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10761]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_541,plain,
% 3.90/4.13 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6489_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10749,plain,
% 3.90/4.13 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 3.90/4.13 inference(copy,[status(esa)],[c_541]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_539,plain,
% 3.90/4.13 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1) | X1 != X0 ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6490_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10745,plain,
% 3.90/4.13 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X1) | X1 != X0 ),
% 3.90/4.13 inference(copy,[status(esa)],[c_539]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_537,plain,
% 3.90/4.13 ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6493_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10741,plain,
% 3.90/4.13 ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_537]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10742,plain,
% 3.90/4.13 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.13 | c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10741]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_530,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6499_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10727,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 3.90/4.13 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_530]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_528,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6500_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10723,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_528]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_526,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6501_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10719,plain,
% 3.90/4.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_526]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_520,plain,
% 3.90/4.13 ( X0 = X1
% 3.90/4.13 | ~ class_Rings_Odivision__ring__inverse__zero(X2)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X2,X0) != c_Rings_Oinverse__class_Oinverse(X2,X1) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6503_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10707,plain,
% 3.90/4.13 ( X0 = X1
% 3.90/4.13 | ~ class_Rings_Odivision__ring__inverse__zero(X2)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X2,X0) != c_Rings_Oinverse__class_Oinverse(X2,X1) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_520]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10708,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Rings_Oinverse__class_Oinverse(X0,X2)
% 3.90/4.13 | X1 = X2 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10707]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_511,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = X1
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6506_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10689,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = X1
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_511]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10690,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = X1
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10689]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_509,plain,
% 3.90/4.13 ( X0 = X1 | ~ hBOOL(c_fequal(X0,X1)) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6514_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10685,plain,
% 3.90/4.13 ( X0 = X1 | ~ hBOOL(c_fequal(X0,X1)) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_509]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10686,plain,
% 3.90/4.13 ( ~ hBOOL(c_fequal(X0,X1)) | X0 = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10685]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_507,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = X1
% 3.90/4.13 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6515_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10681,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = X1
% 3.90/4.13 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_507]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10682,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10681]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_505,plain,
% 3.90/4.13 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1
% 3.90/4.13 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6516_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10677,plain,
% 3.90/4.13 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1
% 3.90/4.13 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_505]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10678,plain,
% 3.90/4.13 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.13 | c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10677]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_482,plain,
% 3.90/4.13 ( c_Polynomial_Odegree(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6524_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10631,plain,
% 3.90/4.13 ( c_Polynomial_Odegree(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_482]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10632,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | c_Polynomial_Odegree(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10631]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_480,plain,
% 3.90/4.13 ( c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6525_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10627,plain,
% 3.90/4.13 ( c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 3.90/4.13 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_480]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10628,plain,
% 3.90/4.13 ( ~ class_Groups_Ozero(X0)
% 3.90/4.13 | c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10627]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_459,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X1) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6532_2) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10585,plain,
% 3.90/4.13 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Ozero__class_Ozero(X1)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X1) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_459]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10586,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10585]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_433,plain,
% 3.90/4.13 ( hBOOL(c_fequal(X0,X1)) | X0 != X1 ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6542_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10533,plain,
% 3.90/4.13 ( hBOOL(c_fequal(X0,X1)) | X0 != X1 ),
% 3.90/4.13 inference(copy,[status(esa)],[c_433]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_410,plain,
% 3.90/4.13 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Groups_Osgn__if(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6550_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10487,plain,
% 3.90/4.13 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Groups_Osgn__if(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_410]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10488,plain,
% 3.90/4.13 ( ~ class_Groups_Osgn__if(X0)
% 3.90/4.13 | c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10487]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_408,plain,
% 3.90/4.13 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6551_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10483,plain,
% 3.90/4.13 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_408]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10484,plain,
% 3.90/4.13 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.90/4.13 | c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10483]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_406,plain,
% 3.90/4.13 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6552_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10479,plain,
% 3.90/4.13 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_406]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10480,plain,
% 3.90/4.13 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 3.90/4.13 | c_Groups_Osgn__class_Osgn(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10479]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_404,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6553_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10475,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_404]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10476,plain,
% 3.90/4.13 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10475]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_402,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6554_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10471,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_402]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10472,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10471]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_400,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6555_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10467,plain,
% 3.90/4.13 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 3.90/4.13 | ~ class_Rings_Odivision__ring(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_400]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10468,plain,
% 3.90/4.13 ( ~ class_Rings_Odivision__ring(X0)
% 3.90/4.13 | c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10467]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_398,plain,
% 3.90/4.13 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6556_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10463,plain,
% 3.90/4.13 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Groups_Ogroup__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_398]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10464,plain,
% 3.90/4.13 ( ~ class_Groups_Ogroup__add(X0)
% 3.90/4.13 | c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10463]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_376,plain,
% 3.90/4.13 ( c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Ozero__neq__one(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6564_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10419,plain,
% 3.90/4.13 ( c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0)
% 3.90/4.13 | ~ class_Rings_Ozero__neq__one(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_376]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10420,plain,
% 3.90/4.13 ( ~ class_Rings_Ozero__neq__one(X0)
% 3.90/4.13 | c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10419]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_374,plain,
% 3.90/4.13 ( class_Rings_Odvd(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6567_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10415,plain,
% 3.90/4.13 ( class_Rings_Odvd(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_374]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10416,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | class_Rings_Odvd(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10415]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_372,plain,
% 3.90/4.13 ( class_Groups_Oone(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6568_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10411,plain,
% 3.90/4.13 ( class_Groups_Oone(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_372]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10412,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | class_Groups_Oone(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10411]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_370,plain,
% 3.90/4.13 ( class_Rings_Oidom(tc_Polynomial_Opoly(X0)) | ~ class_Rings_Oidom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6569_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10407,plain,
% 3.90/4.13 ( class_Rings_Oidom(tc_Polynomial_Opoly(X0)) | ~ class_Rings_Oidom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_370]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_368,plain,
% 3.90/4.13 ( class_Rings_Oring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6570_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10403,plain,
% 3.90/4.13 ( class_Rings_Oring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_368]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10404,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__ring(X0)
% 3.90/4.13 | class_Rings_Oring(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10403]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_366,plain,
% 3.90/4.13 ( class_Groups_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6571_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10399,plain,
% 3.90/4.13 ( class_Groups_Ozero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ozero(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_366]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_364,plain,
% 3.90/4.13 ( class_Power_Opower(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6572_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10395,plain,
% 3.90/4.13 ( class_Power_Opower(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_364]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10396,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | class_Power_Opower(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10395]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_362,plain,
% 3.90/4.13 ( class_Rings_Oring__1(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6573_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10391,plain,
% 3.90/4.13 ( class_Rings_Oring__1(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_362]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10392,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__ring__1(X0)
% 3.90/4.13 | class_Rings_Oring__1(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10391]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_360,plain,
% 3.90/4.13 ( class_Groups_Osgn__if(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6574_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10387,plain,
% 3.90/4.13 ( class_Groups_Osgn__if(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_360]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10388,plain,
% 3.90/4.13 ( ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.13 | class_Groups_Osgn__if(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10387]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_358,plain,
% 3.90/4.13 ( class_Rings_Osemiring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6575_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10383,plain,
% 3.90/4.13 ( class_Rings_Osemiring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_358]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10384,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.13 | class_Rings_Osemiring(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10383]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_356,plain,
% 3.90/4.13 ( class_Int_Oring__char__0(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6576_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10379,plain,
% 3.90/4.13 ( class_Int_Oring__char__0(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_356]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10380,plain,
% 3.90/4.13 ( ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.13 | class_Int_Oring__char__0(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10379]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_354,plain,
% 3.90/4.13 ( class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6577_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10375,plain,
% 3.90/4.13 ( class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__ring(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_354]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_352,plain,
% 3.90/4.13 ( class_Rings_Omult__zero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6578_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10371,plain,
% 3.90/4.13 ( class_Rings_Omult__zero(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_352]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10372,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.13 | class_Rings_Omult__zero(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10371]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_350,plain,
% 3.90/4.13 ( class_Divides_Oring__div(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6579_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10367,plain,
% 3.90/4.13 ( class_Divides_Oring__div(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_350]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_348,plain,
% 3.90/4.13 ( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6580_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10363,plain,
% 3.90/4.13 ( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_348]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10364,plain,
% 3.90/4.13 ( ~ class_Groups_Oab__group__add(X0)
% 3.90/4.13 | class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10363]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_346,plain,
% 3.90/4.13 ( class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6581_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10359,plain,
% 3.90/4.13 ( class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_346]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10360,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.13 | class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10359]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_344,plain,
% 3.90/4.13 ( class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6582_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10355,plain,
% 3.90/4.13 ( class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_344]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10356,plain,
% 3.90/4.13 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 3.90/4.13 | class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10355]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_342,plain,
% 3.90/4.13 ( class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6583_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10351,plain,
% 3.90/4.13 ( class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_342]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_340,plain,
% 3.90/4.13 ( class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6584_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10347,plain,
% 3.90/4.13 ( class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_340]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10348,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10347]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_338,plain,
% 3.90/4.13 ( class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6585_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10343,plain,
% 3.90/4.13 ( class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_338]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10344,plain,
% 3.90/4.13 ( ~ class_Rings_Olinordered__idom(X0)
% 3.90/4.13 | class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10343]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_336,plain,
% 3.90/4.13 ( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6586_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10339,plain,
% 3.90/4.13 ( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_336]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10340,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 3.90/4.13 | class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10339]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_334,plain,
% 3.90/4.13 ( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6587_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10335,plain,
% 3.90/4.13 ( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Oab__group__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_334]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_332,plain,
% 3.90/4.13 ( class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6588_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10331,plain,
% 3.90/4.13 ( class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_332]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10332,plain,
% 3.90/4.13 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 3.90/4.13 | class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10331]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_330,plain,
% 3.90/4.13 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6589_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10327,plain,
% 3.90/4.13 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Fields_Ofield(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_330]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_328,plain,
% 3.90/4.13 ( class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6590_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10323,plain,
% 3.90/4.13 ( class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_328]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_326,plain,
% 3.90/4.13 ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6591_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10319,plain,
% 3.90/4.13 ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_326]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_324,plain,
% 3.90/4.13 ( class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6592_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10315,plain,
% 3.90/4.13 ( class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_324]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_322,plain,
% 3.90/4.13 ( class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6593_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10311,plain,
% 3.90/4.13 ( class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_322]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_320,plain,
% 3.90/4.13 ( class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6594_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10307,plain,
% 3.90/4.13 ( class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_320]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_318,plain,
% 3.90/4.13 ( class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6595_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10303,plain,
% 3.90/4.13 ( class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_318]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_316,plain,
% 3.90/4.13 ( class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6596_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10299,plain,
% 3.90/4.13 ( class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_316]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_314,plain,
% 3.90/4.13 ( class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6597_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10295,plain,
% 3.90/4.13 ( class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_314]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_312,plain,
% 3.90/4.13 ( class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6598_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10291,plain,
% 3.90/4.13 ( class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_312]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_310,plain,
% 3.90/4.13 ( class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6599_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10287,plain,
% 3.90/4.13 ( class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_310]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_308,plain,
% 3.90/4.13 ( class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6600_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10283,plain,
% 3.90/4.13 ( class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_308]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_306,plain,
% 3.90/4.13 ( class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6601_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10279,plain,
% 3.90/4.13 ( class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_306]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_304,plain,
% 3.90/4.13 ( class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6602_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10275,plain,
% 3.90/4.13 ( class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_304]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10276,plain,
% 3.90/4.13 ( ~ class_Groups_Ocancel__comm__monoid__add(X0)
% 3.90/4.13 | class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10275]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_302,plain,
% 3.90/4.13 ( class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6603_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10271,plain,
% 3.90/4.13 ( class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_302]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_300,plain,
% 3.90/4.13 ( class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6604_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10267,plain,
% 3.90/4.13 ( class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_300]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_298,plain,
% 3.90/4.13 ( class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6605_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10263,plain,
% 3.90/4.13 ( class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_298]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_296,plain,
% 3.90/4.13 ( class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6606_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10259,plain,
% 3.90/4.13 ( class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_296]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_294,plain,
% 3.90/4.13 ( class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6607_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10255,plain,
% 3.90/4.13 ( class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_294]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_292,plain,
% 3.90/4.13 ( class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6608_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10251,plain,
% 3.90/4.13 ( class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_292]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_290,plain,
% 3.90/4.13 ( class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6609_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10247,plain,
% 3.90/4.13 ( class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_290]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10248,plain,
% 3.90/4.13 ( ~ class_Groups_Ocancel__comm__monoid__add(X0)
% 3.90/4.13 | class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10247]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_288,plain,
% 3.90/4.13 ( class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6610_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10243,plain,
% 3.90/4.13 ( class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_288]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_286,plain,
% 3.90/4.13 ( class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6611_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10239,plain,
% 3.90/4.13 ( class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_286]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_284,plain,
% 3.90/4.13 ( class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6612_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10235,plain,
% 3.90/4.13 ( class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_284]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_282,plain,
% 3.90/4.13 ( class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6613_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10231,plain,
% 3.90/4.13 ( class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_282]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_280,plain,
% 3.90/4.13 ( class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6614_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10227,plain,
% 3.90/4.13 ( class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_280]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_278,plain,
% 3.90/4.13 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6615_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10223,plain,
% 3.90/4.13 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_278]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_276,plain,
% 3.90/4.13 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6616_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10219,plain,
% 3.90/4.13 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Olinordered__idom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_276]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_274,plain,
% 3.90/4.13 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6617_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10215,plain,
% 3.90/4.13 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Rings_Oidom(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_274]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_272,plain,
% 3.90/4.13 ( class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6618_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10211,plain,
% 3.90/4.13 ( class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 3.90/4.13 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_272]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_268,plain,
% 3.90/4.13 ( X0 = X1 | c_Nat_OSuc(X0) != c_Nat_OSuc(X1) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6620_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10203,plain,
% 3.90/4.13 ( X0 = X1 | c_Nat_OSuc(X0) != c_Nat_OSuc(X1) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_268]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10204,plain,
% 3.90/4.13 ( c_Nat_OSuc(X0) != c_Nat_OSuc(X1) | X0 = X1 ),
% 3.90/4.13 inference(rewriting,[status(thm)],[c_10203]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_266,plain,
% 3.90/4.13 ( c_Nat_OSuc(X0) = c_Nat_OSuc(X1) | X0 != X1 ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6622_1) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10199,plain,
% 3.90/4.13 ( c_Nat_OSuc(X0) = c_Nat_OSuc(X1) | X0 != X1 ),
% 3.90/4.13 inference(copy,[status(esa)],[c_266]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_265,plain,
% 3.90/4.13 ( 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) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5877_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10197,plain,
% 3.90/4.13 ( 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) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_265]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_264,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5895_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10195,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_264]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_263,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X1) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5896_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10193,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X1) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_263]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_260,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6341_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10187,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_260]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_258,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6360_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10183,plain,
% 3.90/4.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_258]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_252,plain,
% 3.90/4.13 ( c_Nat_OSuc(X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6628_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10171,plain,
% 3.90/4.13 ( c_Nat_OSuc(X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_252]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_251,plain,
% 3.90/4.13 ( c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6631_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10169,plain,
% 3.90/4.13 ( c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_251]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_249,plain,
% 3.90/4.13 ( c_Nat_OSuc(X0) != X0 ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6633_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10165,plain,
% 3.90/4.13 ( c_Nat_OSuc(X0) != X0 ),
% 3.90/4.13 inference(copy,[status(esa)],[c_249]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_248,plain,
% 3.90/4.13 ( ~ hBOOL(c_fFalse) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6637_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10163,plain,
% 3.90/4.13 ( ~ hBOOL(c_fFalse) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_248]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_208,plain,
% 3.90/4.13 ( 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)) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5793_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10122,plain,
% 3.90/4.13 ( 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)) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_208]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_207,plain,
% 3.90/4.13 ( 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) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5794_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10120,plain,
% 3.90/4.13 ( 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) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_207]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_206,plain,
% 3.90/4.13 ( 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)) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5795_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10118,plain,
% 3.90/4.13 ( 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)) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_206]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_202,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5864_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10113,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_202]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_201,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5865_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10111,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_201]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_197,plain,
% 3.90/4.13 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_5965_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10106,plain,
% 3.90/4.13 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_197]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_189,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Nat_OSuc(X0)) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6116_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10097,plain,
% 3.90/4.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Nat_OSuc(X0)) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_189]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_175,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6282_0) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_10082,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0) ),
% 3.90/4.13 inference(copy,[status(esa)],[c_175]) ).
% 3.90/4.13
% 3.90/4.13 cnf(c_174,plain,
% 3.90/4.13 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) ),
% 3.90/4.13 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6283_0) ).
% 3.90/4.13
% 3.90/4.14 cnf(c_10080,plain,
% 3.90/4.14 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_174]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_173,plain,
% 3.90/4.14 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6314_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10078,plain,
% 3.90/4.14 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_173]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_172,plain,
% 3.90/4.14 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6317_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10076,plain,
% 3.90/4.14 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_172]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_164,plain,
% 3.90/4.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X0)) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6460_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10066,plain,
% 3.90/4.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X0)) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_164]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_161,plain,
% 3.90/4.14 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6473_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10062,plain,
% 3.90/4.14 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_161]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_160,plain,
% 3.90/4.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X0)) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6474_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10060,plain,
% 3.90/4.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X0)) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_160]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_149,plain,
% 3.90/4.14 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6491_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10048,plain,
% 3.90/4.14 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_149]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_148,plain,
% 3.90/4.14 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6492_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10046,plain,
% 3.90/4.14 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_148]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_144,plain,
% 3.90/4.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6507_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10041,plain,
% 3.90/4.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_144]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_141,plain,
% 3.90/4.14 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X0) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6510_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10037,plain,
% 3.90/4.14 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X0,X0) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_141]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_128,plain,
% 3.90/4.14 ( hBOOL(c_fTrue) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6638_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10023,plain,( hBOOL(c_fTrue) ),inference(copy,[status(esa)],[c_128]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_127,plain,
% 3.90/4.14 ( class_Rings_Odvd(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6639_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10021,plain,
% 3.90/4.14 ( class_Rings_Odvd(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_127]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_126,plain,
% 3.90/4.14 ( class_Groups_Oone(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6640_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10019,plain,
% 3.90/4.14 ( class_Groups_Oone(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_126]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_125,plain,
% 3.90/4.14 ( class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6641_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10017,plain,
% 3.90/4.14 ( class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_125]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_124,plain,
% 3.90/4.14 ( class_Rings_Oring(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6642_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10015,plain,
% 3.90/4.14 ( class_Rings_Oring(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_124]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_123,plain,
% 3.90/4.14 ( class_Groups_Ozero(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6643_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10013,plain,
% 3.90/4.14 ( class_Groups_Ozero(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_123]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_122,plain,
% 3.90/4.14 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6644_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10011,plain,
% 3.90/4.14 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_122]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_121,plain,
% 3.90/4.14 ( class_Fields_Ofield(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6645_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10009,plain,
% 3.90/4.14 ( class_Fields_Ofield(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_121]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_120,plain,
% 3.90/4.14 ( class_Rings_Oring__1(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6646_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10007,plain,
% 3.90/4.14 ( class_Rings_Oring__1(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_120]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_119,plain,
% 3.90/4.14 ( class_Rings_Osemiring(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6647_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10005,plain,
% 3.90/4.14 ( class_Rings_Osemiring(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_119]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_118,plain,
% 3.90/4.14 ( class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6648_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10003,plain,
% 3.90/4.14 ( class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_118]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_117,plain,
% 3.90/4.14 ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6649_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10001,plain,
% 3.90/4.14 ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_117]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_116,plain,
% 3.90/4.14 ( class_Rings_Omult__zero(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6650_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9999,plain,
% 3.90/4.14 ( class_Rings_Omult__zero(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_116]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_115,plain,
% 3.90/4.14 ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6651_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9997,plain,
% 3.90/4.14 ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_115]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_114,plain,
% 3.90/4.14 ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6652_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9995,plain,
% 3.90/4.14 ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_114]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_113,plain,
% 3.90/4.14 ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6653_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9993,plain,
% 3.90/4.14 ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_113]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_112,plain,
% 3.90/4.14 ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6654_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9991,plain,
% 3.90/4.14 ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_112]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_111,plain,
% 3.90/4.14 ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6655_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9989,plain,
% 3.90/4.14 ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_111]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_110,plain,
% 3.90/4.14 ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6656_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9987,plain,
% 3.90/4.14 ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_110]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_109,plain,
% 3.90/4.14 ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6657_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9985,plain,
% 3.90/4.14 ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_109]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_108,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6658_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9983,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_108]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_107,plain,
% 3.90/4.14 ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6659_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9981,plain,
% 3.90/4.14 ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_107]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_106,plain,
% 3.90/4.14 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6660_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9979,plain,
% 3.90/4.14 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_106]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_105,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6661_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9977,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_105]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_104,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6662_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9975,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_104]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_103,plain,
% 3.90/4.14 ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6663_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9973,plain,
% 3.90/4.14 ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_103]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_102,plain,
% 3.90/4.14 ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6664_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9971,plain,
% 3.90/4.14 ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_102]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_101,plain,
% 3.90/4.14 ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6665_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9969,plain,
% 3.90/4.14 ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_101]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_100,plain,
% 3.90/4.14 ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6666_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9967,plain,
% 3.90/4.14 ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_100]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_99,plain,
% 3.90/4.14 ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6667_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9965,plain,
% 3.90/4.14 ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_99]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_98,plain,
% 3.90/4.14 ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6668_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9963,plain,
% 3.90/4.14 ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_98]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_97,plain,
% 3.90/4.14 ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6669_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9961,plain,
% 3.90/4.14 ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_97]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_96,plain,
% 3.90/4.14 ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6670_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9959,plain,
% 3.90/4.14 ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_96]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_95,plain,
% 3.90/4.14 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6671_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9957,plain,
% 3.90/4.14 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_95]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_94,plain,
% 3.90/4.14 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6672_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9955,plain,
% 3.90/4.14 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_94]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_93,plain,
% 3.90/4.14 ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6673_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9953,plain,
% 3.90/4.14 ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_93]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_92,plain,
% 3.90/4.14 ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6674_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9951,plain,
% 3.90/4.14 ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_92]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_91,plain,
% 3.90/4.14 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6675_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9949,plain,
% 3.90/4.14 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_91]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_90,plain,
% 3.90/4.14 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6676_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9947,plain,
% 3.90/4.14 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_90]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_89,plain,
% 3.90/4.14 ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6677_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9945,plain,
% 3.90/4.14 ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_89]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_88,plain,
% 3.90/4.14 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6678_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9943,plain,
% 3.90/4.14 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_88]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_87,plain,
% 3.90/4.14 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6679_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9941,plain,
% 3.90/4.14 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_87]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_86,plain,
% 3.90/4.14 ( class_Rings_Odvd(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6680_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9939,plain,
% 3.90/4.14 ( class_Rings_Odvd(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_86]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_85,plain,
% 3.90/4.14 ( class_Groups_Oone(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6681_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9937,plain,
% 3.90/4.14 ( class_Groups_Oone(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_85]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_84,plain,
% 3.90/4.14 ( class_Groups_Ozero(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6682_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9935,plain,
% 3.90/4.14 ( class_Groups_Ozero(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_84]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_83,plain,
% 3.90/4.14 ( class_Power_Opower(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6683_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9933,plain,
% 3.90/4.14 ( class_Power_Opower(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_83]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_82,plain,
% 3.90/4.14 ( class_Rings_Osemiring(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6684_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9931,plain,
% 3.90/4.14 ( class_Rings_Osemiring(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_82]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_81,plain,
% 3.90/4.14 ( class_Rings_Omult__zero(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6685_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9929,plain,
% 3.90/4.14 ( class_Rings_Omult__zero(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_81]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_80,plain,
% 3.90/4.14 ( class_Rings_Osemiring__0(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6686_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9927,plain,
% 3.90/4.14 ( class_Rings_Osemiring__0(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_80]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_79,plain,
% 3.90/4.14 ( class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6687_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9925,plain,
% 3.90/4.14 ( class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_79]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_78,plain,
% 3.90/4.14 ( class_Groups_Omonoid__mult(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6688_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9923,plain,
% 3.90/4.14 ( class_Groups_Omonoid__mult(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_78]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_77,plain,
% 3.90/4.14 ( class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6689_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9921,plain,
% 3.90/4.14 ( class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_77]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_76,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6690_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9919,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_76]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_75,plain,
% 3.90/4.14 ( class_Divides_Osemiring__div(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6691_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9917,plain,
% 3.90/4.14 ( class_Divides_Osemiring__div(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_75]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_74,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6692_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9915,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_74]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_73,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6693_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9913,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_73]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_72,plain,
% 3.90/4.14 ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6694_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9911,plain,
% 3.90/4.14 ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_72]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_71,plain,
% 3.90/4.14 ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6695_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9909,plain,
% 3.90/4.14 ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_71]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_70,plain,
% 3.90/4.14 ( class_Rings_Oordered__semiring(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6696_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9907,plain,
% 3.90/4.14 ( class_Rings_Oordered__semiring(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_70]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_69,plain,
% 3.90/4.14 ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6697_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9905,plain,
% 3.90/4.14 ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_69]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_68,plain,
% 3.90/4.14 ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6698_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9903,plain,
% 3.90/4.14 ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_68]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_67,plain,
% 3.90/4.14 ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6699_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9901,plain,
% 3.90/4.14 ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_67]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_66,plain,
% 3.90/4.14 ( class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6700_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9899,plain,
% 3.90/4.14 ( class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_66]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_65,plain,
% 3.90/4.14 ( class_Rings_Olinordered__semiring(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6701_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9897,plain,
% 3.90/4.14 ( class_Rings_Olinordered__semiring(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_65]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_64,plain,
% 3.90/4.14 ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6702_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9895,plain,
% 3.90/4.14 ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_64]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_63,plain,
% 3.90/4.14 ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6703_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9893,plain,
% 3.90/4.14 ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_63]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_62,plain,
% 3.90/4.14 ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6704_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9891,plain,
% 3.90/4.14 ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_62]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_61,plain,
% 3.90/4.14 ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6705_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9889,plain,
% 3.90/4.14 ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_61]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_60,plain,
% 3.90/4.14 ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6706_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9887,plain,
% 3.90/4.14 ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_60]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_59,plain,
% 3.90/4.14 ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6707_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9885,plain,
% 3.90/4.14 ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_59]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_58,plain,
% 3.90/4.14 ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6708_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9883,plain,
% 3.90/4.14 ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_58]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_57,plain,
% 3.90/4.14 ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6709_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9881,plain,
% 3.90/4.14 ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_57]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_56,plain,
% 3.90/4.14 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6710_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9879,plain,
% 3.90/4.14 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_56]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_55,plain,
% 3.90/4.14 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6711_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9877,plain,
% 3.90/4.14 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_55]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_54,plain,
% 3.90/4.14 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6712_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9875,plain,
% 3.90/4.14 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_54]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_53,plain,
% 3.90/4.14 ( class_Rings_Odvd(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6713_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9873,plain,
% 3.90/4.14 ( class_Rings_Odvd(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_53]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_52,plain,
% 3.90/4.14 ( class_Groups_Oone(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6714_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9871,plain,
% 3.90/4.14 ( class_Groups_Oone(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_52]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_51,plain,
% 3.90/4.14 ( class_Rings_Oidom(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6715_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9869,plain,
% 3.90/4.14 ( class_Rings_Oidom(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_51]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_50,plain,
% 3.90/4.14 ( class_Rings_Oring(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6716_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9867,plain,
% 3.90/4.14 ( class_Rings_Oring(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_50]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_49,plain,
% 3.90/4.14 ( class_Groups_Ozero(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6717_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9865,plain,
% 3.90/4.14 ( class_Groups_Ozero(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_49]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_48,plain,
% 3.90/4.14 ( class_Power_Opower(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6718_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9863,plain,
% 3.90/4.14 ( class_Power_Opower(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_48]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_47,plain,
% 3.90/4.14 ( class_Rings_Oring__1(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6719_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9861,plain,
% 3.90/4.14 ( class_Rings_Oring__1(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_47]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_46,plain,
% 3.90/4.14 ( class_Groups_Osgn__if(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6720_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9859,plain,
% 3.90/4.14 ( class_Groups_Osgn__if(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_46]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_45,plain,
% 3.90/4.14 ( class_Rings_Osemiring(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6721_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9857,plain,
% 3.90/4.14 ( class_Rings_Osemiring(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_45]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_44,plain,
% 3.90/4.14 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6722_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9855,plain,
% 3.90/4.14 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_44]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_43,plain,
% 3.90/4.14 ( class_Rings_Ocomm__ring(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6723_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9853,plain,
% 3.90/4.14 ( class_Rings_Ocomm__ring(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_43]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_42,plain,
% 3.90/4.14 ( class_Rings_Omult__zero(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6724_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9851,plain,
% 3.90/4.14 ( class_Rings_Omult__zero(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_42]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_41,plain,
% 3.90/4.14 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6725_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9849,plain,
% 3.90/4.14 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_41]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_40,plain,
% 3.90/4.14 ( class_Groups_Ogroup__add(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6726_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9847,plain,
% 3.90/4.14 ( class_Groups_Ogroup__add(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_40]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_39,plain,
% 3.90/4.14 ( class_Rings_Osemiring__0(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6727_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9845,plain,
% 3.90/4.14 ( class_Rings_Osemiring__0(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_39]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_38,plain,
% 3.90/4.14 ( class_Groups_Omonoid__add(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6728_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9843,plain,
% 3.90/4.14 ( class_Groups_Omonoid__add(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_38]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_37,plain,
% 3.90/4.14 ( class_Rings_Ocomm__ring__1(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6729_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9841,plain,
% 3.90/4.14 ( class_Rings_Ocomm__ring__1(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_37]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_36,plain,
% 3.90/4.14 ( class_Groups_Omonoid__mult(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6730_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9839,plain,
% 3.90/4.14 ( class_Groups_Omonoid__mult(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_36]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_35,plain,
% 3.90/4.14 ( class_Rings_Oordered__ring(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6731_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9837,plain,
% 3.90/4.14 ( class_Rings_Oordered__ring(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_35]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_34,plain,
% 3.90/4.14 ( class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6732_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9835,plain,
% 3.90/4.14 ( class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_34]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_33,plain,
% 3.90/4.14 ( class_Groups_Oab__group__add(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6733_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9833,plain,
% 3.90/4.14 ( class_Groups_Oab__group__add(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_33]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_32,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6734_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9831,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_32]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_31,plain,
% 3.90/4.14 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6735_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9829,plain,
% 3.90/4.14 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_31]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_30,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6736_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9827,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_30]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_29,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6737_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9825,plain,
% 3.90/4.14 ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_29]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_28,plain,
% 3.90/4.14 ( class_Rings_Olinordered__idom(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6738_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9823,plain,
% 3.90/4.14 ( class_Rings_Olinordered__idom(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_28]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_27,plain,
% 3.90/4.14 ( class_Rings_Olinordered__ring(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6739_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9821,plain,
% 3.90/4.14 ( class_Rings_Olinordered__ring(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_27]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_26,plain,
% 3.90/4.14 ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6740_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9819,plain,
% 3.90/4.14 ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_26]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_25,plain,
% 3.90/4.14 ( class_Rings_Ono__zero__divisors(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6741_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9817,plain,
% 3.90/4.14 ( class_Rings_Ono__zero__divisors(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_25]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_24,plain,
% 3.90/4.14 ( class_Rings_Oordered__semiring(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6742_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9815,plain,
% 3.90/4.14 ( class_Rings_Oordered__semiring(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_24]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_23,plain,
% 3.90/4.14 ( class_Groups_Oab__semigroup__add(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6743_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9813,plain,
% 3.90/4.14 ( class_Groups_Oab__semigroup__add(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_23]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_22,plain,
% 3.90/4.14 ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6744_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9811,plain,
% 3.90/4.14 ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_22]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_21,plain,
% 3.90/4.14 ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6745_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9809,plain,
% 3.90/4.14 ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_21]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_20,plain,
% 3.90/4.14 ( class_Rings_Olinordered__semidom(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6746_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9807,plain,
% 3.90/4.14 ( class_Rings_Olinordered__semidom(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_20]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_19,plain,
% 3.90/4.14 ( class_Rings_Olinordered__semiring(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6747_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9805,plain,
% 3.90/4.14 ( class_Rings_Olinordered__semiring(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_19]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_18,plain,
% 3.90/4.14 ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6748_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9803,plain,
% 3.90/4.14 ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_18]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_17,plain,
% 3.90/4.14 ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6749_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9801,plain,
% 3.90/4.14 ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_17]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_16,plain,
% 3.90/4.14 ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6750_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9799,plain,
% 3.90/4.14 ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_16]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_15,plain,
% 3.90/4.14 ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6751_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9797,plain,
% 3.90/4.14 ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_15]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_14,plain,
% 3.90/4.14 ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6752_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9795,plain,
% 3.90/4.14 ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_14]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_13,plain,
% 3.90/4.14 ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6753_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9793,plain,
% 3.90/4.14 ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_13]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_12,plain,
% 3.90/4.14 ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6754_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9791,plain,
% 3.90/4.14 ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_12]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_11,plain,
% 3.90/4.14 ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6755_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9789,plain,
% 3.90/4.14 ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_11]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_10,plain,
% 3.90/4.14 ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6756_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9787,plain,
% 3.90/4.14 ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_10]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9,plain,
% 3.90/4.14 ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6757_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9785,plain,
% 3.90/4.14 ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_9]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_8,plain,
% 3.90/4.14 ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6758_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9783,plain,
% 3.90/4.14 ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_8]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_7,plain,
% 3.90/4.14 ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6759_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9781,plain,
% 3.90/4.14 ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_7]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_6,plain,
% 3.90/4.14 ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6760_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9779,plain,
% 3.90/4.14 ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_6]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_5,plain,
% 3.90/4.14 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6761_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9777,plain,
% 3.90/4.14 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_5]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_4,plain,
% 3.90/4.14 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6762_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9775,plain,
% 3.90/4.14 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_4]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_3,plain,
% 3.90/4.14 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6763_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9773,plain,
% 3.90/4.14 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_3]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_2,plain,
% 3.90/4.14 ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6764_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9771,plain,
% 3.90/4.14 ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_2]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_1,plain,
% 3.90/4.14 ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6765_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9769,plain,
% 3.90/4.14 ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_1]) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_0,plain,
% 3.90/4.14 ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 file('/export/starexec/sandbox/tmp/iprover_modulo_49317d.p', c_0_6766_0) ).
% 3.90/4.14
% 3.90/4.14 cnf(c_9767,plain,
% 3.90/4.14 ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
% 3.90/4.14 inference(copy,[status(esa)],[c_0]) ).
% 3.90/4.14
% 3.90/4.14
% 3.90/4.14
% 3.90/4.14 % ------ Statistics
% 3.90/4.14
% 3.90/4.14 % ------ General
% 3.90/4.14
% 3.90/4.14 % num_of_input_clauses: 4321
% 3.90/4.14 % num_of_input_neg_conjectures: 1
% 3.90/4.14 % num_of_splits: 0
% 3.90/4.14 % num_of_split_atoms: 0
% 3.90/4.14 % num_of_sem_filtered_clauses: 0
% 3.90/4.14 % num_of_subtypes: 0
% 3.90/4.14 % monotx_restored_types: 0
% 3.90/4.14 % sat_num_of_epr_types: 0
% 3.90/4.14 % sat_num_of_non_cyclic_types: 0
% 3.90/4.14 % sat_guarded_non_collapsed_types: 0
% 3.90/4.14 % is_epr: 0
% 3.90/4.14 % is_horn: 0
% 3.90/4.14 % has_eq: 1
% 3.90/4.14 % num_pure_diseq_elim: 0
% 3.90/4.14 % simp_replaced_by: 0
% 3.90/4.14 % res_preprocessed: 0
% 3.90/4.14 % prep_upred: 0
% 3.90/4.14 % prep_unflattend: 0
% 3.90/4.14 % pred_elim_cands: 0
% 3.90/4.14 % pred_elim: 0
% 3.90/4.14 % pred_elim_cl: 0
% 3.90/4.14 % pred_elim_cycles: 0
% 3.90/4.14 % forced_gc_time: 0
% 3.90/4.14 % gc_basic_clause_elim: 0
% 3.90/4.14 % parsing_time: 0.177
% 3.90/4.14 % sem_filter_time: 0.
% 3.90/4.14 % pred_elim_time: 0.
% 3.90/4.14 % out_proof_time: 0.
% 3.90/4.14 % monotx_time: 0.
% 3.90/4.14 % subtype_inf_time: 0.
% 3.90/4.14 % unif_index_cands_time: 0.
% 3.90/4.14 % unif_index_add_time: 0.003
% 3.90/4.14 % total_time: 3.064
% 3.90/4.14 % num_of_symbols: 165
% 3.90/4.14 % num_of_terms: 6634
% 3.90/4.14
% 3.90/4.14 % ------ Propositional Solver
% 3.90/4.14
% 3.90/4.14 % prop_solver_calls: 1
% 3.90/4.14 % prop_fast_solver_calls: 0
% 3.90/4.14 % prop_num_of_clauses: 3203
% 3.90/4.14 % prop_preprocess_simplified: 13787
% 3.90/4.14 % prop_fo_subsumed: 0
% 3.90/4.14 % prop_solver_time: 0.
% 3.90/4.14 % prop_fast_solver_time: 0.
% 3.90/4.14 % prop_unsat_core_time: 0.
% 3.90/4.14
% 3.90/4.14 % ------ QBF
% 3.90/4.14
% 3.90/4.14 % qbf_q_res: 0
% 3.90/4.14 % qbf_num_tautologies: 0
% 3.90/4.14 % qbf_prep_cycles: 0
% 3.90/4.14
% 3.90/4.14 % ------ BMC1
% 3.90/4.14
% 3.90/4.14 % bmc1_current_bound: -1
% 3.90/4.14 % bmc1_last_solved_bound: -1
% 3.90/4.14 % bmc1_unsat_core_size: -1
% 3.90/4.14 % bmc1_unsat_core_parents_size: -1
% 3.90/4.14 % bmc1_merge_next_fun: 0
% 3.90/4.14 % bmc1_unsat_core_clauses_time: 0.
% 3.90/4.14
% 3.90/4.14 % ------ Instantiation
% 3.90/4.14
% 3.90/4.14 % inst_num_of_clauses: 4049
% 3.90/4.14 % inst_num_in_passive: 0
% 3.90/4.14 % inst_num_in_active: 0
% 3.90/4.14 % inst_num_in_unprocessed: 4320
% 3.90/4.14 % inst_num_of_loops: 0
% 3.90/4.14 % inst_num_of_learning_restarts: 0
% 3.90/4.14 % inst_num_moves_active_passive: 0
% 3.90/4.14 % inst_lit_activity: 0
% 3.90/4.14 % inst_lit_activity_moves: 0
% 3.90/4.14 % inst_num_tautologies: 0
% 3.90/4.14 % inst_num_prop_implied: 0
% 3.90/4.14 % inst_num_existing_simplified: 0
% 3.90/4.14 % inst_num_eq_res_simplified: 0
% 3.90/4.14 % inst_num_child_elim: 0
% 3.90/4.14 % inst_num_of_dismatching_blockings: 0
% 3.90/4.14 % inst_num_of_non_proper_insts: 0
% 3.90/4.14 % inst_num_of_duplicates: 0
% 3.90/4.14 % inst_inst_num_from_inst_to_res: 0
% 3.90/4.14 % inst_dismatching_checking_time: 0.
% 3.90/4.14
% 3.90/4.14 % ------ Resolution
% 3.90/4.14
% 3.90/4.14 % res_num_of_clauses: 4658
% 3.90/4.14 % res_num_in_passive: 0
% 3.90/4.14 % res_num_in_active: 1523
% 3.90/4.14 % res_num_of_loops: 1
% 3.90/4.14 % res_forward_subset_subsumed: 2533
% 3.90/4.14 % res_backward_subset_subsumed: 0
% 3.90/4.14 % res_forward_subsumed: 0
% 3.90/4.14 % res_backward_subsumed: 0
% 3.90/4.14 % res_forward_subsumption_resolution: 0
% 3.90/4.14 % res_backward_subsumption_resolution: 0
% 3.90/4.14 % res_clause_to_clause_subsumption: 0
% 3.90/4.14 % res_orphan_elimination: 0
% 3.90/4.14 % res_tautology_del: 164
% 3.90/4.14 % res_num_eq_res_simplified: 0
% 3.90/4.14 % res_num_sel_changes: 0
% 3.90/4.14 % res_moves_from_active_to_pass: 0
% 3.90/4.14
% 3.90/4.14 % Status Unknown
% 3.90/4.14 % Last status :
% 3.90/4.14 % SZS status Unknown
%------------------------------------------------------------------------------