TSTP Solution File: SWW210+1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWW210+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:28:36 EDT 2022
% Result : Unknown 4.73s 4.94s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW210+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.13 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 4 10:42:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Running in mono-core mode
% 0.45/0.69 % Orienting using strategy Equiv(ClausalAll)
% 0.45/0.69 % FOF problem with conjecture
% 0.45/0.69 % 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_639c3b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_f760e1.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_40acbd | grep -v "SZS"
% 0.56/0.71
% 0.56/0.71 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.56/0.71
% 0.56/0.71 %
% 0.56/0.71 % ------ iProver source info
% 0.56/0.71
% 0.56/0.71 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.56/0.71 % git: non_committed_changes: true
% 0.56/0.71 % git: last_make_outside_of_git: true
% 0.56/0.71
% 0.56/0.71 %
% 0.56/0.71 % ------ Input Options
% 0.56/0.71
% 0.56/0.71 % --out_options all
% 0.56/0.71 % --tptp_safe_out true
% 0.56/0.71 % --problem_path ""
% 0.56/0.71 % --include_path ""
% 0.56/0.71 % --clausifier .//eprover
% 0.56/0.71 % --clausifier_options --tstp-format
% 0.56/0.71 % --stdin false
% 0.56/0.71 % --dbg_backtrace false
% 0.56/0.71 % --dbg_dump_prop_clauses false
% 0.56/0.71 % --dbg_dump_prop_clauses_file -
% 0.56/0.71 % --dbg_out_stat false
% 0.56/0.71
% 0.56/0.71 % ------ General Options
% 0.56/0.71
% 0.56/0.71 % --fof false
% 0.56/0.71 % --time_out_real 150.
% 0.56/0.71 % --time_out_prep_mult 0.2
% 0.56/0.71 % --time_out_virtual -1.
% 0.56/0.71 % --schedule none
% 0.56/0.71 % --ground_splitting input
% 0.56/0.71 % --splitting_nvd 16
% 0.56/0.71 % --non_eq_to_eq false
% 0.56/0.71 % --prep_gs_sim true
% 0.56/0.71 % --prep_unflatten false
% 0.56/0.71 % --prep_res_sim true
% 0.56/0.71 % --prep_upred true
% 0.56/0.71 % --res_sim_input true
% 0.56/0.71 % --clause_weak_htbl true
% 0.56/0.71 % --gc_record_bc_elim false
% 0.56/0.71 % --symbol_type_check false
% 0.56/0.71 % --clausify_out false
% 0.56/0.71 % --large_theory_mode false
% 0.56/0.71 % --prep_sem_filter none
% 0.56/0.71 % --prep_sem_filter_out false
% 0.56/0.71 % --preprocessed_out false
% 0.56/0.71 % --sub_typing false
% 0.56/0.71 % --brand_transform false
% 0.56/0.71 % --pure_diseq_elim true
% 0.56/0.71 % --min_unsat_core false
% 0.56/0.71 % --pred_elim true
% 0.56/0.71 % --add_important_lit false
% 0.56/0.71 % --soft_assumptions false
% 0.56/0.71 % --reset_solvers false
% 0.56/0.71 % --bc_imp_inh []
% 0.56/0.71 % --conj_cone_tolerance 1.5
% 0.56/0.71 % --prolific_symb_bound 500
% 0.56/0.71 % --lt_threshold 2000
% 0.56/0.71
% 0.56/0.71 % ------ SAT Options
% 0.56/0.71
% 0.56/0.71 % --sat_mode false
% 0.56/0.71 % --sat_fm_restart_options ""
% 0.56/0.71 % --sat_gr_def false
% 0.56/0.71 % --sat_epr_types true
% 0.56/0.71 % --sat_non_cyclic_types false
% 0.56/0.71 % --sat_finite_models false
% 0.56/0.71 % --sat_fm_lemmas false
% 0.56/0.71 % --sat_fm_prep false
% 0.56/0.71 % --sat_fm_uc_incr true
% 0.56/0.71 % --sat_out_model small
% 0.56/0.71 % --sat_out_clauses false
% 0.56/0.71
% 0.56/0.71 % ------ QBF Options
% 0.56/0.71
% 0.56/0.71 % --qbf_mode false
% 0.56/0.71 % --qbf_elim_univ true
% 0.56/0.71 % --qbf_sk_in true
% 0.56/0.71 % --qbf_pred_elim true
% 0.56/0.71 % --qbf_split 32
% 0.56/0.71
% 0.56/0.71 % ------ BMC1 Options
% 0.56/0.71
% 0.56/0.71 % --bmc1_incremental false
% 0.56/0.71 % --bmc1_axioms reachable_all
% 0.56/0.71 % --bmc1_min_bound 0
% 0.56/0.71 % --bmc1_max_bound -1
% 0.56/0.71 % --bmc1_max_bound_default -1
% 0.56/0.71 % --bmc1_symbol_reachability true
% 0.56/0.71 % --bmc1_property_lemmas false
% 0.56/0.71 % --bmc1_k_induction false
% 0.56/0.71 % --bmc1_non_equiv_states false
% 0.56/0.71 % --bmc1_deadlock false
% 0.56/0.71 % --bmc1_ucm false
% 0.56/0.71 % --bmc1_add_unsat_core none
% 0.56/0.71 % --bmc1_unsat_core_children false
% 0.56/0.71 % --bmc1_unsat_core_extrapolate_axioms false
% 0.56/0.71 % --bmc1_out_stat full
% 0.56/0.71 % --bmc1_ground_init false
% 0.56/0.71 % --bmc1_pre_inst_next_state false
% 0.56/0.71 % --bmc1_pre_inst_state false
% 0.56/0.71 % --bmc1_pre_inst_reach_state false
% 0.56/0.71 % --bmc1_out_unsat_core false
% 0.56/0.71 % --bmc1_aig_witness_out false
% 0.56/0.71 % --bmc1_verbose false
% 0.56/0.71 % --bmc1_dump_clauses_tptp false
% 0.56/0.77 % --bmc1_dump_unsat_core_tptp false
% 0.56/0.77 % --bmc1_dump_file -
% 0.56/0.77 % --bmc1_ucm_expand_uc_limit 128
% 0.56/0.77 % --bmc1_ucm_n_expand_iterations 6
% 0.56/0.77 % --bmc1_ucm_extend_mode 1
% 0.56/0.77 % --bmc1_ucm_init_mode 2
% 0.56/0.77 % --bmc1_ucm_cone_mode none
% 0.56/0.77 % --bmc1_ucm_reduced_relation_type 0
% 0.56/0.77 % --bmc1_ucm_relax_model 4
% 0.56/0.77 % --bmc1_ucm_full_tr_after_sat true
% 0.56/0.77 % --bmc1_ucm_expand_neg_assumptions false
% 0.56/0.77 % --bmc1_ucm_layered_model none
% 0.56/0.77 % --bmc1_ucm_max_lemma_size 10
% 0.56/0.77
% 0.56/0.77 % ------ AIG Options
% 0.56/0.77
% 0.56/0.77 % --aig_mode false
% 0.56/0.77
% 0.56/0.77 % ------ Instantiation Options
% 0.56/0.77
% 0.56/0.77 % --instantiation_flag true
% 0.56/0.77 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.56/0.77 % --inst_solver_per_active 750
% 0.56/0.77 % --inst_solver_calls_frac 0.5
% 0.56/0.77 % --inst_passive_queue_type priority_queues
% 0.56/0.77 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.56/0.77 % --inst_passive_queues_freq [25;2]
% 0.56/0.77 % --inst_dismatching true
% 0.56/0.77 % --inst_eager_unprocessed_to_passive true
% 0.56/0.77 % --inst_prop_sim_given true
% 0.56/0.77 % --inst_prop_sim_new false
% 0.56/0.77 % --inst_orphan_elimination true
% 0.56/0.77 % --inst_learning_loop_flag true
% 0.56/0.77 % --inst_learning_start 3000
% 0.56/0.77 % --inst_learning_factor 2
% 0.56/0.77 % --inst_start_prop_sim_after_learn 3
% 0.56/0.77 % --inst_sel_renew solver
% 0.56/0.77 % --inst_lit_activity_flag true
% 0.56/0.77 % --inst_out_proof true
% 0.56/0.77
% 0.56/0.77 % ------ Resolution Options
% 0.56/0.77
% 0.56/0.77 % --resolution_flag true
% 0.56/0.77 % --res_lit_sel kbo_max
% 0.56/0.77 % --res_to_prop_solver none
% 0.56/0.77 % --res_prop_simpl_new false
% 0.56/0.77 % --res_prop_simpl_given false
% 0.56/0.77 % --res_passive_queue_type priority_queues
% 0.56/0.77 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.56/0.77 % --res_passive_queues_freq [15;5]
% 0.56/0.77 % --res_forward_subs full
% 0.56/0.77 % --res_backward_subs full
% 0.56/0.77 % --res_forward_subs_resolution true
% 0.56/0.77 % --res_backward_subs_resolution true
% 0.56/0.77 % --res_orphan_elimination false
% 0.56/0.77 % --res_time_limit 1000.
% 0.56/0.77 % --res_out_proof true
% 0.56/0.77 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_639c3b.s
% 0.56/0.77 % --modulo true
% 0.56/0.77
% 0.56/0.77 % ------ Combination Options
% 0.56/0.77
% 0.56/0.77 % --comb_res_mult 1000
% 0.56/0.77 % --comb_inst_mult 300
% 0.56/0.77 % ------
% 0.56/0.77
% 0.56/0.77 % ------ Parsing...%
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77 % ------ Statistics
% 0.56/0.77
% 0.56/0.77 % ------ General
% 0.56/0.77
% 0.56/0.77 % num_of_input_clauses: 1464
% 0.56/0.77 % num_of_input_neg_conjectures: 0
% 0.56/0.77 % num_of_splits: 0
% 0.56/0.77 % num_of_split_atoms: 0
% 0.56/0.77 % num_of_sem_filtered_clauses: 0
% 0.56/0.77 % num_of_subtypes: 0
% 0.56/0.77 % monotx_restored_types: 0
% 0.56/0.77 % sat_num_of_epr_types: 0
% 0.56/0.77 % sat_num_of_non_cyclic_types: 0
% 0.56/0.77 % sat_guarded_non_collapsed_types: 0
% 0.56/0.77 % is_epr: 0
% 0.56/0.77 % is_horn: 0
% 0.56/0.77 % has_eq: 0
% 0.56/0.77 % num_pure_diseq_elim: 0
% 0.56/0.77 % simp_replaced_by: 0
% 0.56/0.77 % res_preprocessed: 0
% 0.56/0.77 % prep_upred: 0
% 0.56/0.77 % prep_unflattend: 0
% 0.56/0.77 % pred_elim_cands: 0
% 0.56/0.77 % pred_elim: 0
% 0.56/0.77 % pred_elim_cl: 0
% 0.56/0.77 % pred_elim_cycles: 0
% 0.56/0.77 % forced_gc_time: 0
% 0.56/0.77 % gc_basic_clause_elim: 0
% 0.56/0.77 % parsing_time: 0.
% 0.56/0.77 % sem_filter_time: 0.
% 0.56/0.77 % pred_elim_time: 0.
% 0.56/0.77 % out_proof_time: 0.
% 0.56/0.77 % monotx_time: 0.
% 0.56/0.77 % subtype_inf_time: 0.
% 0.56/0.77 % unif_index_cands_time: 0.
% 0.56/0.77 % Fatal error: exception Failure("Parse error in: /export/starexec/sandbox/tmp/iprover_modulo_f760e1.p line: 1467 near token: '!='")
% 0.56/0.77 unif_index_add_time: 0.
% 0.56/0.77 % total_time: 0.07
% 0.56/0.77 % num_of_symbols: 135
% 0.56/0.77 % num_of_terms: 2323
% 0.56/0.77
% 0.56/0.77 % ------ Propositional Solver
% 0.56/0.77
% 0.56/0.77 % prop_solver_calls: 0
% 0.56/0.77 % prop_fast_solver_calls: 0
% 0.56/0.77 % prop_num_of_clauses: 0
% 0.56/0.77 % prop_preprocess_simplified: 0
% 0.56/0.77 % prop_fo_subsumed: 0
% 0.56/0.77 % prop_solver_time: 0.
% 0.56/0.77 % prop_fast_solver_time: 0.
% 0.56/0.77 % prop_unsat_core_time: 0.
% 0.56/0.77
% 0.56/0.77 % ------ QBF
% 0.56/0.77
% 0.56/0.77 % qbf_q_res: 0
% 0.56/0.77 % qbf_num_tautologies: 0
% 0.56/0.77 % qbf_prep_cycles: 0
% 0.56/0.77
% 0.56/0.77 % ------ BMC1
% 0.56/0.77
% 0.56/0.77 % bmc1_current_bound: -1
% 0.56/0.77 % bmc1_last_solved_bound: -1
% 0.56/0.77 % bmc1_unsat_core_size: -1
% 0.56/0.77 % bmc1_unsat_core_parents_size: -1
% 0.56/0.77 % bmc1_merge_next_fun: 0
% 0.56/0.77 % bmc1_unsat_core_clauses_time: 0.
% 0.56/0.77
% 0.56/0.77 % ------ Instantiation
% 0.56/0.77
% 0.56/0.77 % inst_num_of_clauses: undef
% 0.56/0.77 % inst_num_in_passive: undef
% 0.56/0.77 % inst_num_in_active: 0
% 0.56/0.77 % inst_num_in_unprocessed: 0
% 0.56/0.77 % inst_num_of_loops: 0
% 0.56/0.77 % inst_num_of_learning_restarts: 0
% 0.56/0.77 % inst_num_moves_active_passive: 0
% 0.56/0.77 % inst_lit_activity: 0
% 0.56/0.77 % inst_lit_activity_moves: 0
% 0.56/0.77 % inst_num_tautologies: 0
% 0.56/0.77 % inst_num_prop_implied: 0
% 0.56/0.77 % inst_num_existing_simplified: 0
% 0.56/0.77 % inst_num_eq_res_simplified: 0
% 0.56/0.77 % inst_num_child_elim: 0
% 0.56/0.77 % inst_num_of_dismatching_blockings: 0
% 0.56/0.77 % inst_num_of_non_proper_insts: 0
% 0.56/0.77 % inst_num_of_duplicates: 0
% 0.56/0.77 % inst_inst_num_from_inst_to_res: 0
% 0.56/0.77 % inst_dismatching_checking_time: 0.
% 0.56/0.77
% 0.56/0.77 % ------ Resolution
% 0.56/0.77
% 0.56/0.77 % res_num_of_clauses: undef
% 0.56/0.77 % res_num_in_passive: undef
% 0.56/0.77 % res_num_in_active: 0
% 0.56/0.77 % res_num_of_loops: 0
% 0.56/0.77 % res_forward_subset_subsumed: 0
% 0.56/0.77 % res_backward_subset_subsumed: 0
% 0.56/0.77 % res_forward_subsumed: 0
% 0.56/0.77 % res_backward_subsumed: 0
% 0.56/0.77 % res_forward_subsumption_resolution: 0
% 0.56/0.77 % res_backward_subsumption_resolution: 0
% 0.56/0.77 % res_clause_to_clause_subsumption: 0
% 0.56/0.77 % res_orphan_elimination: 0
% 0.56/0.77 % res_tautology_del: 0
% 0.56/0.77 % res_num_eq_res_simplified: 0
% 0.56/0.77 % res_num_sel_changes: 0
% 0.56/0.77 % res_moves_from_active_to_pass: 0
% 0.56/0.77
% 0.56/0.77 % Status Unknown
% 0.63/1.02 % Orienting using strategy ClausalAll
% 0.63/1.02 % FOF problem with conjecture
% 0.63/1.02 % 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_639c3b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_f760e1.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_09c47f | grep -v "SZS"
% 0.63/1.03
% 0.63/1.03 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.63/1.03
% 0.63/1.03 %
% 0.63/1.03 % ------ iProver source info
% 0.63/1.03
% 0.63/1.03 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.63/1.03 % git: non_committed_changes: true
% 0.63/1.03 % git: last_make_outside_of_git: true
% 0.63/1.03
% 0.63/1.03 %
% 0.63/1.03 % ------ Input Options
% 0.63/1.03
% 0.63/1.03 % --out_options all
% 0.63/1.03 % --tptp_safe_out true
% 0.63/1.03 % --problem_path ""
% 0.63/1.03 % --include_path ""
% 0.63/1.03 % --clausifier .//eprover
% 0.63/1.03 % --clausifier_options --tstp-format
% 0.63/1.03 % --stdin false
% 0.63/1.03 % --dbg_backtrace false
% 0.63/1.03 % --dbg_dump_prop_clauses false
% 0.63/1.03 % --dbg_dump_prop_clauses_file -
% 0.63/1.03 % --dbg_out_stat false
% 0.63/1.03
% 0.63/1.03 % ------ General Options
% 0.63/1.03
% 0.63/1.03 % --fof false
% 0.63/1.03 % --time_out_real 150.
% 0.63/1.03 % --time_out_prep_mult 0.2
% 0.63/1.03 % --time_out_virtual -1.
% 0.63/1.03 % --schedule none
% 0.63/1.03 % --ground_splitting input
% 0.63/1.03 % --splitting_nvd 16
% 0.63/1.03 % --non_eq_to_eq false
% 0.63/1.03 % --prep_gs_sim true
% 0.63/1.03 % --prep_unflatten false
% 0.63/1.03 % --prep_res_sim true
% 0.63/1.03 % --prep_upred true
% 0.63/1.03 % --res_sim_input true
% 0.63/1.03 % --clause_weak_htbl true
% 0.63/1.03 % --gc_record_bc_elim false
% 0.63/1.03 % --symbol_type_check false
% 0.63/1.03 % --clausify_out false
% 0.63/1.03 % --large_theory_mode false
% 0.63/1.03 % --prep_sem_filter none
% 0.63/1.03 % --prep_sem_filter_out false
% 0.63/1.03 % --preprocessed_out false
% 0.63/1.03 % --sub_typing false
% 0.63/1.03 % --brand_transform false
% 0.63/1.03 % --pure_diseq_elim true
% 0.63/1.03 % --min_unsat_core false
% 0.63/1.03 % --pred_elim true
% 0.63/1.03 % --add_important_lit false
% 0.63/1.03 % --soft_assumptions false
% 0.63/1.03 % --reset_solvers false
% 0.63/1.03 % --bc_imp_inh []
% 0.63/1.03 % --conj_cone_tolerance 1.5
% 0.63/1.03 % --prolific_symb_bound 500
% 0.63/1.03 % --lt_threshold 2000
% 0.63/1.03
% 0.63/1.03 % ------ SAT Options
% 0.63/1.03
% 0.63/1.03 % --sat_mode false
% 0.63/1.03 % --sat_fm_restart_options ""
% 0.63/1.03 % --sat_gr_def false
% 0.63/1.03 % --sat_epr_types true
% 0.63/1.03 % --sat_non_cyclic_types false
% 0.63/1.03 % --sat_finite_models false
% 0.63/1.03 % --sat_fm_lemmas false
% 0.63/1.03 % --sat_fm_prep false
% 0.63/1.03 % --sat_fm_uc_incr true
% 0.63/1.03 % --sat_out_model small
% 0.63/1.03 % --sat_out_clauses false
% 0.63/1.03
% 0.63/1.03 % ------ QBF Options
% 0.63/1.03
% 0.63/1.03 % --qbf_mode false
% 0.63/1.03 % --qbf_elim_univ true
% 0.63/1.03 % --qbf_sk_in true
% 0.63/1.03 % --qbf_pred_elim true
% 0.63/1.03 % --qbf_split 32
% 0.63/1.03
% 0.63/1.03 % ------ BMC1 Options
% 0.63/1.03
% 0.63/1.03 % --bmc1_incremental false
% 0.63/1.03 % --bmc1_axioms reachable_all
% 0.63/1.03 % --bmc1_min_bound 0
% 0.63/1.03 % --bmc1_max_bound -1
% 0.63/1.03 % --bmc1_max_bound_default -1
% 0.63/1.03 % --bmc1_symbol_reachability true
% 0.63/1.03 % --bmc1_property_lemmas false
% 0.63/1.03 % --bmc1_k_induction false
% 0.63/1.03 % --bmc1_non_equiv_states false
% 0.63/1.03 % --bmc1_deadlock false
% 0.63/1.03 % --bmc1_ucm false
% 0.63/1.03 % --bmc1_add_unsat_core none
% 0.63/1.03 % --bmc1_unsat_core_children false
% 0.63/1.03 % --bmc1_unsat_core_extrapolate_axioms false
% 0.63/1.03 % --bmc1_out_stat full
% 0.63/1.03 % --bmc1_ground_init false
% 0.63/1.03 % --bmc1_pre_inst_next_state false
% 0.63/1.03 % --bmc1_pre_inst_state false
% 0.63/1.03 % --bmc1_pre_inst_reach_state false
% 0.63/1.03 % --bmc1_out_unsat_core false
% 0.63/1.03 % --bmc1_aig_witness_out false
% 0.63/1.03 % --bmc1_verbose false
% 0.63/1.03 % --bmc1_dump_clauses_tptp false
% 4.55/4.80 % --bmc1_dump_unsat_core_tptp false
% 4.55/4.80 % --bmc1_dump_file -
% 4.55/4.80 % --bmc1_ucm_expand_uc_limit 128
% 4.55/4.80 % --bmc1_ucm_n_expand_iterations 6
% 4.55/4.80 % --bmc1_ucm_extend_mode 1
% 4.55/4.80 % --bmc1_ucm_init_mode 2
% 4.55/4.80 % --bmc1_ucm_cone_mode none
% 4.55/4.80 % --bmc1_ucm_reduced_relation_type 0
% 4.55/4.80 % --bmc1_ucm_relax_model 4
% 4.55/4.80 % --bmc1_ucm_full_tr_after_sat true
% 4.55/4.80 % --bmc1_ucm_expand_neg_assumptions false
% 4.55/4.80 % --bmc1_ucm_layered_model none
% 4.55/4.80 % --bmc1_ucm_max_lemma_size 10
% 4.55/4.80
% 4.55/4.80 % ------ AIG Options
% 4.55/4.80
% 4.55/4.80 % --aig_mode false
% 4.55/4.80
% 4.55/4.80 % ------ Instantiation Options
% 4.55/4.80
% 4.55/4.80 % --instantiation_flag true
% 4.55/4.80 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 4.55/4.80 % --inst_solver_per_active 750
% 4.55/4.80 % --inst_solver_calls_frac 0.5
% 4.55/4.80 % --inst_passive_queue_type priority_queues
% 4.55/4.80 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.55/4.80 % --inst_passive_queues_freq [25;2]
% 4.55/4.80 % --inst_dismatching true
% 4.55/4.80 % --inst_eager_unprocessed_to_passive true
% 4.55/4.80 % --inst_prop_sim_given true
% 4.55/4.80 % --inst_prop_sim_new false
% 4.55/4.80 % --inst_orphan_elimination true
% 4.55/4.80 % --inst_learning_loop_flag true
% 4.55/4.80 % --inst_learning_start 3000
% 4.55/4.80 % --inst_learning_factor 2
% 4.55/4.80 % --inst_start_prop_sim_after_learn 3
% 4.55/4.80 % --inst_sel_renew solver
% 4.55/4.80 % --inst_lit_activity_flag true
% 4.55/4.80 % --inst_out_proof true
% 4.55/4.80
% 4.55/4.80 % ------ Resolution Options
% 4.55/4.80
% 4.55/4.80 % --resolution_flag true
% 4.55/4.80 % --res_lit_sel kbo_max
% 4.55/4.80 % --res_to_prop_solver none
% 4.55/4.80 % --res_prop_simpl_new false
% 4.55/4.80 % --res_prop_simpl_given false
% 4.55/4.80 % --res_passive_queue_type priority_queues
% 4.55/4.80 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.55/4.80 % --res_passive_queues_freq [15;5]
% 4.55/4.80 % --res_forward_subs full
% 4.55/4.80 % --res_backward_subs full
% 4.55/4.80 % --res_forward_subs_resolution true
% 4.55/4.80 % --res_backward_subs_resolution true
% 4.55/4.80 % --res_orphan_elimination false
% 4.55/4.80 % --res_time_limit 1000.
% 4.55/4.80 % --res_out_proof true
% 4.55/4.80 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_639c3b.s
% 4.55/4.80 % --modulo true
% 4.55/4.80
% 4.55/4.80 % ------ Combination Options
% 4.55/4.80
% 4.55/4.80 % --comb_res_mult 1000
% 4.55/4.80 % --comb_inst_mult 300
% 4.55/4.80 % ------
% 4.55/4.80
% 4.55/4.80 % ------ Parsing...% successful
% 4.55/4.80
% 4.55/4.80 % ------ Preprocessing... gs_s sp: 8 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e snvd_s sp: 0 0s snvd_e %
% 4.55/4.80
% 4.55/4.80 % ------ Proving...
% 4.55/4.80 % ------ Problem Properties
% 4.55/4.80
% 4.55/4.80 %
% 4.55/4.80 % EPR false
% 4.55/4.80 % Horn false
% 4.55/4.80 % Has equality true
% 4.55/4.80
% 4.55/4.80 % % ------ Input Options Time Limit: Unbounded
% 4.55/4.80
% 4.55/4.80
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 Compiling...
% 4.55/4.80 Loading plugin: done.
% 4.55/4.80 % % ------ Current options:
% 4.55/4.80
% 4.55/4.80 % ------ Input Options
% 4.55/4.80
% 4.55/4.80 % --out_options all
% 4.55/4.80 % --tptp_safe_out true
% 4.55/4.80 % --problem_path ""
% 4.55/4.80 % --include_path ""
% 4.55/4.80 % --clausifier .//eprover
% 4.55/4.80 % --clausifier_options --tstp-format
% 4.55/4.80 % --stdin false
% 4.55/4.80 % --dbg_backtrace false
% 4.55/4.80 % --dbg_dump_prop_clauses false
% 4.55/4.80 % --dbg_dump_prop_clauses_file -
% 4.55/4.80 % --dbg_out_stat false
% 4.55/4.80
% 4.55/4.80 % ------ General Options
% 4.55/4.80
% 4.55/4.80 % --fof false
% 4.55/4.80 % --time_out_real 150.
% 4.55/4.80 % --time_out_prep_mult 0.2
% 4.55/4.80 % --time_out_virtual -1.
% 4.55/4.80 % --schedule none
% 4.55/4.80 % --ground_splitting input
% 4.55/4.80 % --splitting_nvd 16
% 4.55/4.80 % --non_eq_to_eq false
% 4.55/4.80 % --prep_gs_sim true
% 4.55/4.80 % --prep_unflatten false
% 4.55/4.80 % --prep_res_sim true
% 4.55/4.80 % --prep_upred true
% 4.55/4.80 % --res_sim_input true
% 4.55/4.80 % --clause_weak_htbl true
% 4.55/4.80 % --gc_record_bc_elim false
% 4.55/4.80 % --symbol_type_check false
% 4.55/4.80 % --clausify_out false
% 4.55/4.80 % --large_theory_mode false
% 4.55/4.80 % --prep_sem_filter none
% 4.55/4.80 % --prep_sem_filter_out false
% 4.55/4.80 % --preprocessed_out false
% 4.55/4.80 % --sub_typing false
% 4.55/4.80 % --brand_transform false
% 4.55/4.80 % --pure_diseq_elim true
% 4.55/4.80 % --min_unsat_core false
% 4.55/4.80 % --pred_elim true
% 4.55/4.80 % --add_important_lit false
% 4.55/4.80 % --soft_assumptions false
% 4.55/4.80 % --reset_solvers false
% 4.55/4.80 % --bc_imp_inh []
% 4.55/4.80 % --conj_cone_tolerance 1.5
% 4.55/4.80 % --prolific_symb_bound 500
% 4.55/4.80 % --lt_threshold 2000
% 4.55/4.80
% 4.55/4.80 % ------ SAT Options
% 4.55/4.80
% 4.55/4.80 % --sat_mode false
% 4.55/4.80 % --sat_fm_restart_options ""
% 4.55/4.80 % --sat_gr_def false
% 4.55/4.80 % --sat_epr_types true
% 4.55/4.80 % --sat_non_cyclic_types false
% 4.55/4.80 % --sat_finite_models false
% 4.55/4.80 % --sat_fm_lemmas false
% 4.55/4.80 % --sat_fm_prep false
% 4.55/4.80 % --sat_fm_uc_incr true
% 4.55/4.80 % --sat_out_model small
% 4.55/4.80 % --sat_out_clauses false
% 4.55/4.80
% 4.55/4.80 % ------ QBF Options
% 4.55/4.80
% 4.55/4.80 % --qbf_mode false
% 4.55/4.80 % --qbf_elim_univ true
% 4.55/4.80 % --qbf_sk_in true
% 4.55/4.80 % --qbf_pred_elim true
% 4.55/4.80 % --qbf_split 32
% 4.55/4.80
% 4.55/4.80 % ------ BMC1 Options
% 4.55/4.80
% 4.55/4.80 % --bmc1_incremental false
% 4.55/4.80 % --bmc1_axioms reachable_all
% 4.55/4.80 % --bmc1_min_bound 0
% 4.55/4.80 % --bmc1_max_bound -1
% 4.55/4.80 % --bmc1_max_bound_default -1
% 4.55/4.80 % --bmc1_symbol_reachability true
% 4.55/4.80 % --bmc1_property_lemmas false
% 4.55/4.80 % --bmc1_k_induction false
% 4.55/4.80 % --bmc1_non_equiv_states false
% 4.55/4.80 % --bmc1_deadlock false
% 4.55/4.80 % --bmc1_ucm false
% 4.55/4.80 % --bmc1_add_unsat_core none
% 4.55/4.80 % --bmc1_unsat_core_children false
% 4.55/4.80 % --bmc1_unsat_core_extrapolate_axioms false
% 4.55/4.80 % --bmc1_out_stat full
% 4.55/4.80 % --bmc1_ground_init false
% 4.55/4.80 % --bmc1_pre_inst_next_state false
% 4.55/4.80 % --bmc1_pre_inst_state false
% 4.55/4.80 % --bmc1_pre_inst_reach_state false
% 4.55/4.80 % --bmc1_out_unsat_core false
% 4.55/4.80 % --bmc1_aig_witness_out false
% 4.55/4.80 % --bmc1_verbose false
% 4.55/4.80 % --bmc1_dump_clauses_tptp false
% 4.55/4.80 % --bmc1_dump_unsat_core_tptp false
% 4.55/4.80 % --bmc1_dump_file -
% 4.55/4.80 % --bmc1_ucm_expand_uc_limit 128
% 4.55/4.80 % --bmc1_ucm_n_expand_iterations 6
% 4.55/4.80 % --bmc1_ucm_extend_mode 1
% 4.55/4.80 % --bmc1_ucm_init_mode 2
% 4.55/4.80 % --bmc1_ucm_cone_mode none
% 4.55/4.80 % --bmc1_ucm_reduced_relation_type 0
% 4.55/4.80 % --bmc1_ucm_relax_model 4
% 4.55/4.80 % --bmc1_ucm_full_tr_after_sat true
% 4.55/4.80 % --bmc1_ucm_expand_neg_assumptions false
% 4.55/4.80 % --bmc1_ucm_layered_model none
% 4.55/4.80 % --bmc1_ucm_max_lemma_size 10
% 4.55/4.80
% 4.55/4.80 % ------ AIG Options
% 4.55/4.80
% 4.55/4.80 % --aig_mode false
% 4.55/4.80
% 4.55/4.80 % ------ Instantiation Options
% 4.55/4.80
% 4.55/4.80 % --instantiation_flag true
% 4.55/4.80 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 4.55/4.80 % --inst_solver_per_active 750
% 4.55/4.80 % --inst_solver_calls_frac 0.5
% 4.55/4.80 % --inst_passive_queue_type priority_queues
% 4.55/4.80 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.55/4.80 % --inst_passive_queues_freq [25;2]
% 4.55/4.80 % --inst_dismatching true
% 4.55/4.80 % --inst_eager_unprocessed_to_passive true
% 4.55/4.80 % --inst_prop_sim_given true
% 4.55/4.80 % --inst_prop_sim_new false
% 4.55/4.80 % --inst_orphan_elimination true
% 4.55/4.80 % --inst_learning_loop_flag true
% 4.55/4.80 % --inst_learning_start 3000
% 4.55/4.80 % --inst_learning_factor 2
% 4.55/4.80 % --inst_start_prop_sim_after_learn 3
% 4.55/4.80 % --inst_sel_renew solver
% 4.55/4.80 % --inst_lit_activity_flag true
% 4.55/4.80 % --inst_out_proof true
% 4.55/4.80
% 4.55/4.80 % ------ Resolution Options
% 4.55/4.80
% 4.55/4.80 % --resolution_flag true
% 4.55/4.80 % --res_lit_sel kbo_max
% 4.55/4.80 % --res_to_prop_solver none
% 4.55/4.80 % --res_prop_simpl_new false
% 4.55/4.80 % --res_prop_simpl_given false
% 4.55/4.80 % --res_passive_queue_type priority_queues
% 4.55/4.80 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.55/4.80 % --res_passive_queues_freq [15;5]
% 4.55/4.80 % --res_forward_subs full
% 4.55/4.80 % --res_backward_subs full
% 4.55/4.80 % --res_forward_subs_resolution true
% 4.55/4.80 % --res_backward_subs_resolution true
% 4.55/4.80 % --res_orphan_elimination false
% 4.55/4.80 % --res_time_limit 1000.
% 4.55/4.80 % --res_out_proof true
% 4.55/4.80 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_639c3b.s
% 4.55/4.80 % --modulo true
% 4.55/4.80
% 4.55/4.80 % ------ Combination Options
% 4.55/4.80
% 4.55/4.80 % --comb_res_mult 1000
% 4.55/4.80 % --comb_inst_mult 300
% 4.55/4.80 % ------
% 4.55/4.80
% 4.55/4.80
% 4.55/4.80
% 4.55/4.80 % ------ Proving...
% 4.55/4.80 % warning: shown sat in sat incomplete mode
% 4.55/4.80 %
% 4.55/4.80
% 4.55/4.80
% 4.55/4.80
% 4.55/4.80
% 4.55/4.80 cnf(c_4798,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3))))
% 4.55/4.80 | ~ class_Orderings_Oord(X4)
% 4.55/4.80 | ~ class_RealVector_Oreal__normed__vector(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X3),hAPP(X1,sk1_esk14_4(X1,X3,X4,X0)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5335_4) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20291,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3))))
% 4.55/4.80 | ~ class_Orderings_Oord(X4)
% 4.55/4.80 | ~ class_RealVector_Oreal__normed__vector(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X3),hAPP(X1,sk1_esk14_4(X1,X3,X4,X0)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4798]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20292,plain,
% 4.55/4.80 ( ~ class_Orderings_Oord(X0)
% 4.55/4.80 | ~ class_RealVector_Oreal__normed__vector(X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,hAPP(X4,X2),hAPP(X4,sk1_esk14_4(X4,X2,X0,X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X4,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,hAPP(X4,X2)))) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20291]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4793,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 4.55/4.80 | ~ class_Orderings_Oord(X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,sk1_esk6_4(X3,X2,X0,X1)),hAPP(X3,sk1_esk6_4(X3,X2,X0,X1))) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5338_2) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20281,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 4.55/4.80 | ~ class_Orderings_Oord(X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,sk1_esk6_4(X3,X2,X0,X1)),hAPP(X3,sk1_esk6_4(X3,X2,X0,X1))) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4793]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20282,plain,
% 4.55/4.80 ( ~ class_Orderings_Oord(X0)
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X2,sk1_esk6_4(X3,X2,X1,X0)),hAPP(X3,sk1_esk6_4(X3,X2,X1,X0))) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20281]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4791,plain,
% 4.55/4.80 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5340_1) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20277,plain,
% 4.55/4.80 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4791]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20278,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20277]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4788,plain,
% 4.55/4.80 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5341_1) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20271,plain,
% 4.55/4.80 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4788]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20272,plain,
% 4.55/4.80 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20271]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4786,plain,
% 4.55/4.80 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5341_3) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20267,plain,
% 4.55/4.80 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4786]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20268,plain,
% 4.55/4.80 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20267]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4784,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5341_5) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20263,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4784]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20264,plain,
% 4.55/4.80 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20263]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4773,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5))
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X4,X1),X2),X5)) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5347_2) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20241,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5))
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X4,X1),X2),X5)) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4773]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20242,plain,
% 4.55/4.80 ( ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X4,X1),X2),X5)) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20241]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4770,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5))
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X4),X2),X3),X5) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5348_2) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20235,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5))
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X4),X2),X3),X5) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4770]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20236,plain,
% 4.55/4.80 ( ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3),X4),X5)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X4),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),X5)) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20235]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4767,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5))
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X4),X2),X3),X5) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5349_2) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20229,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5))
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X4),X2),X3),X5) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4767]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20230,plain,
% 4.55/4.80 ( ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3),X4),X5)
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X4),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),X5)) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20229]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4764,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5))
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X4,X1),X2),X5)) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5350_2) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20223,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5))
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X4,X1),X2),X5)) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4764]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20224,plain,
% 4.55/4.80 ( ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X4,X1),X2),X5)) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20223]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4761,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X4),X5))
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X3,X4),X1),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X4),X5)) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5351_2) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20217,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X4),X5))
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X3,X4),X1),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X4),X5)) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4761]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20218,plain,
% 4.55/4.80 ( ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X4,X1),X2),X5)) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20217]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4758,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3),X4),X5)
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X4),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),X5)) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5352_2) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20211,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3),X4),X5)
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X4),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),X5)) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4758]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20212,plain,
% 4.55/4.80 ( ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3),X4),X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X4),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),X5)) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20211]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4755,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3),X4),X5)
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X4),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),X5)) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5353_2) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20205,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3),X4),X5)
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X4),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),X5)) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4755]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20206,plain,
% 4.55/4.80 ( ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3),X4),X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X4),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),X5)) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20205]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4752,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X4),X5))
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X3,X4),X1),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X4),X5)) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5354_2) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20199,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X4),X5))
% 4.55/4.80 | ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X3,X4),X1),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X4),X5)) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4752]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20200,plain,
% 4.55/4.80 ( ~ class_Rings_Oordered__ring(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5))
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X4,X1),X2),X5)) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20199]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4743,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X0)))),v_y____)),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk4_1(X1),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5364_2) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20181,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X0)))),v_y____)),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk4_1(X1),X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4743]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20182,plain,
% 4.55/4.80 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk4_1(X0),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X1)))),v_y____)),X0) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20181]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4741,plain,
% 4.55/4.80 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.55/4.80 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.80 | ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.80 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5365_1) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20177,plain,
% 4.55/4.80 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.55/4.80 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.80 | ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.80 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4741]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20178,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.55/4.80 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.80 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20177]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4739,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.80 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.80 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5365_3) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20173,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.80 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.80 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4739]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20174,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.55/4.80 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.80 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20173]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4736,plain,
% 4.55/4.80 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.80 | ~ class_Rings_Olinordered__idom(X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X1)) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5366_2) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20167,plain,
% 4.55/4.80 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.80 | ~ class_Rings_Olinordered__idom(X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X1)) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4736]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20168,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.80 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20167]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4733,plain,
% 4.55/4.80 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.80 | ~ class_Rings_Olinordered__idom(X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X1)) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5367_2) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20161,plain,
% 4.55/4.80 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.80 | ~ class_Rings_Olinordered__idom(X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X1)) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4733]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20162,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.80 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20161]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4719,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.55/4.80 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5373_4) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20133,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.55/4.80 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4719]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20134,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.55/4.80 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20133]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4716,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X1),c_Groups_Otimes__class_Otimes(X0,X5,X3)),X2)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X4,X5) != c_Groups_Oone__class_Oone(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X5) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5377_2) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20127,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X1),c_Groups_Otimes__class_Otimes(X0,X5,X3)),X2)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X4,X5) != c_Groups_Oone__class_Oone(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X5) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4716]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20128,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4)),X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X3,X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oone__class_Oone(X0) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20127]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4714,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X4,X5)),X2)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X3,X4) != c_Groups_Oone__class_Oone(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X5,X2) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5377_4) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20123,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X4,X5)),X2)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X3,X4) != c_Groups_Oone__class_Oone(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X5,X2) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4714]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20124,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),c_Groups_Otimes__class_Otimes(X0,X1,X4)),X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X3,X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Oone__class_Oone(X0) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20123]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4712,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)),X5)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X2,X5)
% 4.55/4.80 | ~ class_Rings_Olinordered__semiring__1__strict(X0) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5377_6) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20119,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)),X5)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X2,X5)
% 4.55/4.80 | ~ class_Rings_Olinordered__semiring__1__strict(X0) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4712]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20120,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),c_Groups_Otimes__class_Otimes(X0,X1,X4)),X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X3,X5)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Oone__class_Oone(X0) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20119]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4709,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X1),c_Groups_Otimes__class_Otimes(X0,X5,X3)),X2)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X4,X5) != c_Groups_Oone__class_Oone(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X5) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5378_2) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20113,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X1),c_Groups_Otimes__class_Otimes(X0,X5,X3)),X2)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X4,X5) != c_Groups_Oone__class_Oone(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X5) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4709]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20114,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4)),X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oone__class_Oone(X0) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20113]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4707,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X4,X5)),X2)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X3,X4) != c_Groups_Oone__class_Oone(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X5,X2) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5378_4) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20109,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X4,X5)),X2)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X3,X4) != c_Groups_Oone__class_Oone(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X5,X2) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4707]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20110,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),c_Groups_Otimes__class_Otimes(X0,X1,X4)),X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Oone__class_Oone(X0) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20109]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4705,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)),X5)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X5)
% 4.55/4.80 | ~ class_Rings_Olinordered__semiring__1(X0) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5378_6) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20105,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)),X5)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X5)
% 4.55/4.80 | ~ class_Rings_Olinordered__semiring__1(X0) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4705]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20106,plain,
% 4.55/4.80 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),c_Groups_Otimes__class_Otimes(X0,X1,X4)),X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X5)
% 4.55/4.80 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Oone__class_Oone(X0) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20105]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4700,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3))))
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X4,X3,sk1_esk14_4(X1,X3,X4,X0))
% 4.55/4.80 | ~ class_Orderings_Oord(X4)
% 4.55/4.80 | ~ class_RealVector_Oreal__normed__vector(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5379_4) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20095,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3))))
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X4,X3,sk1_esk14_4(X1,X3,X4,X0))
% 4.55/4.80 | ~ class_Orderings_Oord(X4)
% 4.55/4.80 | ~ class_RealVector_Oreal__normed__vector(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4700]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20096,plain,
% 4.55/4.80 ( ~ class_Orderings_Oord(X0)
% 4.55/4.80 | ~ class_RealVector_Oreal__normed__vector(X1)
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,X2,sk1_esk14_4(X3,X2,X0,X1))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X3,X4)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,hAPP(X3,X2)))) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20095]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4694,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.80 | ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5380_5) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20083,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.80 | ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4694]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20084,plain,
% 4.55/4.80 ( ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20083]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4688,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.80 | ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5381_5) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20071,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.80 | ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4688]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20072,plain,
% 4.55/4.80 ( ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20071]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4682,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.80 | ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5382_5) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20059,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.80 | ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4682]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20060,plain,
% 4.55/4.80 ( ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)),X3)
% 4.55/4.80 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)),X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20059]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4676,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.80 | ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5383_5) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20047,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.80 | ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4676]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20048,plain,
% 4.55/4.80 ( ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)),X3)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)))
% 4.55/4.80 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20047]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4670,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.80 | ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.80 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5385_5) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20035,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.80 | ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.80 inference(copy,[status(esa)],[c_4670]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_20036,plain,
% 4.55/4.80 ( ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),X3)
% 4.55/4.80 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2)) ),
% 4.55/4.80 inference(rewriting,[status(thm)],[c_20035]) ).
% 4.55/4.80
% 4.55/4.80 cnf(c_4664,plain,
% 4.55/4.80 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.80 | ~ class_Int_Onumber(X0)
% 4.55/4.80 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.80 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5386_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_20023,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4664]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_20024,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_20023]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4658,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5387_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_20011,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4658]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_20012,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_20011]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4652,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5388_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19999,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4652]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_20000,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19999]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4649,plain,
% 4.55/4.81 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X1))
% 4.55/4.81 | ~ class_Rings_Olinordered__idom(X1)
% 4.55/4.81 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5389_2) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19993,plain,
% 4.55/4.81 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X1))
% 4.55/4.81 | ~ class_Rings_Olinordered__idom(X1)
% 4.55/4.81 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4649]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19994,plain,
% 4.55/4.81 ( ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19993]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4648,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.81 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5389_3) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19991,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.81 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4648]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19992,plain,
% 4.55/4.81 ( ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19991]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4642,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5390_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19979,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4642]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19980,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2))) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19979]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4636,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5391_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19967,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4636]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19968,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2))) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19967]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4630,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5392_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19955,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4630]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19956,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2))) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19955]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4624,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5393_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19943,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4624]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19944,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2))) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19943]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4614,plain,
% 4.55/4.81 ( ~ class_Fields_Ofield(X0)
% 4.55/4.81 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),c_Groups_Otimes__class_Otimes(X0,X4,X1)),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))
% 4.55/4.81 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5397_1) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19923,plain,
% 4.55/4.81 ( ~ class_Fields_Ofield(X0)
% 4.55/4.81 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),c_Groups_Otimes__class_Otimes(X0,X4,X1)),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))
% 4.55/4.81 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4614]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19924,plain,
% 4.55/4.81 ( ~ class_Fields_Ofield(X0)
% 4.55/4.81 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)),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))
% 4.55/4.81 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19923]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4610,plain,
% 4.55/4.81 ( ~ class_Fields_Ofield(X0)
% 4.55/4.81 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),c_Groups_Otimes__class_Otimes(X0,X4,X1)),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))
% 4.55/4.81 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5398_1) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19915,plain,
% 4.55/4.81 ( ~ class_Fields_Ofield(X0)
% 4.55/4.81 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),c_Groups_Otimes__class_Otimes(X0,X4,X1)),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))
% 4.55/4.81 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4610]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19916,plain,
% 4.55/4.81 ( ~ class_Fields_Ofield(X0)
% 4.55/4.81 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)),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))
% 4.55/4.81 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19915]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4598,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5401_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19891,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4598]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19892,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19891]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4592,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5402_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19879,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4592]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19880,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19879]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4586,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5403_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19867,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4586]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19868,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19867]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4580,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5404_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19855,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4580]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19856,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19855]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4578,plain,
% 4.55/4.81 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)))
% 4.55/4.81 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.55/4.81 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5406_1) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19851,plain,
% 4.55/4.81 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)))
% 4.55/4.81 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.55/4.81 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4578]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19852,plain,
% 4.55/4.81 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)))
% 4.55/4.81 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19851]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4576,plain,
% 4.55/4.81 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.55/4.81 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X2),c_Groups_Otimes__class_Otimes(X0,X1,X1))) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5406_3) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19847,plain,
% 4.55/4.81 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.55/4.81 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X2),c_Groups_Otimes__class_Otimes(X0,X1,X1))) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4576]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19848,plain,
% 4.55/4.81 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)))
% 4.55/4.81 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.81 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19847]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4573,plain,
% 4.55/4.81 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.81 | ~ class_Rings_Olinordered__ring__strict(X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X0,X0),c_Groups_Otimes__class_Otimes(X1,X2,X2)),c_Groups_Ozero__class_Ozero(X1)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5407_2) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19841,plain,
% 4.55/4.81 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.81 | ~ class_Rings_Olinordered__ring__strict(X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X0,X0),c_Groups_Otimes__class_Otimes(X1,X2,X2)),c_Groups_Ozero__class_Ozero(X1)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4573]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19842,plain,
% 4.55/4.81 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19841]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4570,plain,
% 4.55/4.81 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.81 | ~ class_Rings_Olinordered__ring__strict(X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X2),c_Groups_Otimes__class_Otimes(X1,X0,X0)),c_Groups_Ozero__class_Ozero(X1)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5408_2) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19835,plain,
% 4.55/4.81 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.81 | ~ class_Rings_Olinordered__ring__strict(X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X2),c_Groups_Otimes__class_Otimes(X1,X0,X0)),c_Groups_Ozero__class_Ozero(X1)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4570]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19836,plain,
% 4.55/4.81 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19835]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4565,plain,
% 4.55/4.81 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5)
% 4.55/4.81 | ~ class_Rings_Oring(X0)
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X4),X2),X3) != X5 ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5410_2) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19825,plain,
% 4.55/4.81 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5)
% 4.55/4.81 | ~ class_Rings_Oring(X0)
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X4),X2),X3) != X5 ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4565]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19826,plain,
% 4.55/4.81 ( ~ class_Rings_Oring(X0)
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3),X4) != X5
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X4) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),X5) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19825]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4562,plain,
% 4.55/4.81 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5)
% 4.55/4.81 | ~ class_Rings_Oring(X0)
% 4.55/4.81 | X3 != c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X4,X1),X2),X5) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5411_2) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19819,plain,
% 4.55/4.81 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5)
% 4.55/4.81 | ~ class_Rings_Oring(X0)
% 4.55/4.81 | X3 != c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X4,X1),X2),X5) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4562]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19820,plain,
% 4.55/4.81 ( ~ class_Rings_Oring(X0)
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5)
% 4.55/4.81 | X3 != c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X4,X1),X2),X5) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19819]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4559,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X0))),v_x____)),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk5_1(X1),X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5412_2) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19813,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X0))),v_x____)),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk5_1(X1),X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4559]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19814,plain,
% 4.55/4.81 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk5_1(X0),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X1))),v_x____)),X0) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19813]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4556,plain,
% 4.55/4.81 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3),X4) = X5
% 4.55/4.81 | ~ class_Rings_Oring(X0)
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X4) != c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),X5) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5413_2) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19807,plain,
% 4.55/4.81 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3),X4) = X5
% 4.55/4.81 | ~ class_Rings_Oring(X0)
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X4) != c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),X5) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4556]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19808,plain,
% 4.55/4.81 ( ~ class_Rings_Oring(X0)
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3),X4) = X5
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X4) != c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X2,X3),X5) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19807]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4553,plain,
% 4.55/4.81 ( X0 = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4),X5)
% 4.55/4.81 | ~ class_Rings_Oring(X1)
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),X0) != c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),X5) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5414_2) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19801,plain,
% 4.55/4.81 ( X0 = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4),X5)
% 4.55/4.81 | ~ class_Rings_Oring(X1)
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),X0) != c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),X5) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4553]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19802,plain,
% 4.55/4.81 ( ~ class_Rings_Oring(X0)
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) != c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X4,X2),X5)
% 4.55/4.81 | X3 = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X4,X1),X2),X5) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19801]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4549,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.81 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5415_3) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19793,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.81 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4549]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19794,plain,
% 4.55/4.81 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19793]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4545,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.81 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5416_3) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19785,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.81 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4545]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19786,plain,
% 4.55/4.81 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19785]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4538,plain,
% 4.55/4.81 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) != c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X4),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.55/4.81 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.55/4.81 | X1 = X3
% 4.55/4.81 | X2 = X4 ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5419_0) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19771,plain,
% 4.55/4.81 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) != c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X4),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.55/4.81 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.55/4.81 | X1 = X3
% 4.55/4.81 | X2 = X4 ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4538]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19772,plain,
% 4.55/4.81 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) != c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X4),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.55/4.81 | X1 = X3
% 4.55/4.81 | X2 = X4 ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19771]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4535,plain,
% 4.55/4.81 ( X0 = X1
% 4.55/4.81 | X2 = X3
% 4.55/4.81 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4)
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X4,c_Groups_Otimes__class_Otimes(X4,X2,X0),c_Groups_Otimes__class_Otimes(X4,X3,X1)) != c_Groups_Oplus__class_Oplus(X4,c_Groups_Otimes__class_Otimes(X4,X2,X1),c_Groups_Otimes__class_Otimes(X4,X3,X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5419_3) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19765,plain,
% 4.55/4.81 ( X0 = X1
% 4.55/4.81 | X2 = X3
% 4.55/4.81 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4)
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X4,c_Groups_Otimes__class_Otimes(X4,X2,X0),c_Groups_Otimes__class_Otimes(X4,X3,X1)) != c_Groups_Oplus__class_Oplus(X4,c_Groups_Otimes__class_Otimes(X4,X2,X1),c_Groups_Otimes__class_Otimes(X4,X3,X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4535]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19766,plain,
% 4.55/4.81 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.55/4.81 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) != c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X4),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.55/4.81 | X2 = X4
% 4.55/4.81 | X1 = X3 ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19765]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4531,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 4.55/4.81 | ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X1) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5420_3) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19757,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 4.55/4.81 | ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X1) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4531]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19758,plain,
% 4.55/4.81 ( ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19757]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4525,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)),X3)
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5421_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19745,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)),X3)
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4525]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19746,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19745]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4519,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5422_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19733,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4519]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19734,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19733]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4507,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5424_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19709,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4507]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19710,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19709]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4501,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5425_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19697,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4501]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19698,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19697]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4489,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)),X3)
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5427_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19673,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)),X3)
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4489]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19674,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)),X3)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)),X2) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19673]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4483,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5428_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19661,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4483]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19662,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)),X2) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19661]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4471,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5430_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19637,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4471]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19638,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19637]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4465,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5431_5) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19625,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.81 | ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4465]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19626,plain,
% 4.55/4.81 ( ~ class_Int_Onumber(X0)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19625]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4454,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5433_4) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19603,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4454]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19604,plain,
% 4.55/4.81 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19603]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4449,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5434_4) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19593,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4449]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19594,plain,
% 4.55/4.81 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19593]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4444,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5435_4) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19583,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4444]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19584,plain,
% 4.55/4.81 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19583]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4439,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5436_4) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19573,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4439]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19574,plain,
% 4.55/4.81 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.55/4.81 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19573]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4434,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5437_4) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19563,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4434]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19564,plain,
% 4.55/4.81 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19563]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4429,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5438_4) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19553,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4429]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19554,plain,
% 4.55/4.81 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19553]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4424,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5439_4) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19543,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 inference(copy,[status(esa)],[c_4424]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19544,plain,
% 4.55/4.81 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.55/4.81 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 4.55/4.81 inference(rewriting,[status(thm)],[c_19543]) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_4419,plain,
% 4.55/4.81 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.81 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.55/4.81 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.81 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5440_4) ).
% 4.55/4.81
% 4.55/4.81 cnf(c_19533,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4419]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19534,plain,
% 4.55/4.82 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19533]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4411,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5442_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19517,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4411]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19518,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19517]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4405,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5443_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19505,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4405]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19506,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19505]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4399,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5444_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19493,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4399]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19494,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19493]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4393,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5445_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19481,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4393]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19482,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19481]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4387,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5446_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19469,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4387]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19470,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)),X2) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19469]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4381,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5447_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19457,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4381]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19458,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2))) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19457]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4375,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5448_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19445,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4375]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19446,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19445]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4369,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5449_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19433,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4369]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19434,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19433]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4364,plain,
% 4.55/4.82 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.82 | ~ class_Rings_Olinordered__idom(X1)
% 4.55/4.82 | c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5451_2) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19423,plain,
% 4.55/4.82 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.82 | ~ class_Rings_Olinordered__idom(X1)
% 4.55/4.82 | c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4364]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19424,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.82 | c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.82 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19423]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4361,plain,
% 4.55/4.82 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.82 | ~ class_Rings_Olinordered__idom(X1)
% 4.55/4.82 | c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5452_2) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19417,plain,
% 4.55/4.82 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.82 | ~ class_Rings_Olinordered__idom(X1)
% 4.55/4.82 | c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4361]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19418,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.82 | c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.82 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19417]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4355,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5453_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19405,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4355]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19406,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19405]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4349,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5454_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19393,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4349]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19394,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19393]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4343,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5455_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19381,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4343]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19382,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19381]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4337,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5456_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19369,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4337]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19370,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19369]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4331,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5457_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19357,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4331]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19358,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19357]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4325,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5458_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19345,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4325]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19346,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19345]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4319,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5459_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19333,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4319]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19334,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X1)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19333]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4313,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5460_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19321,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4313]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19322,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19321]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4302,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5463_4) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19299,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4302]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19300,plain,
% 4.55/4.82 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X3)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19299]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4297,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.55/4.82 | ~ class_Fields_Olinordered__field(X0) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5464_4) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19289,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.55/4.82 | ~ class_Fields_Olinordered__field(X0) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4297]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19290,plain,
% 4.55/4.82 ( ~ class_Fields_Olinordered__field(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X3)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19289]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4292,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.55/4.82 | ~ class_Fields_Olinordered__field(X0) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5465_4) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19279,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.55/4.82 | ~ class_Fields_Olinordered__field(X0) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4292]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19280,plain,
% 4.55/4.82 ( ~ class_Fields_Olinordered__field(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19279]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4287,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.55/4.82 | ~ class_Fields_Olinordered__field(X0) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5466_4) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19269,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.55/4.82 | ~ class_Fields_Olinordered__field(X0) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4287]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19270,plain,
% 4.55/4.82 ( ~ class_Fields_Olinordered__field(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19269]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4278,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5469_4) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19251,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4278]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19252,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19251]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4273,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5470_4) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19241,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4273]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19242,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19241]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4268,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5471_4) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19231,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4268]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19232,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19231]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4263,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5472_4) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19221,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4263]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19222,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19221]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4258,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5473_4) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19211,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4258]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19212,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19211]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4253,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5474_4) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19201,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4253]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19202,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19201]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4248,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5475_4) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19191,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4248]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19192,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19191]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4243,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5476_4) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19181,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X3)),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4243]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19182,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19181]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4237,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5477_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19169,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4237]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19170,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19169]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4225,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5479_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19145,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4225]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19146,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19145]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4213,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5481_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19121,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4213]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19122,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X1),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19121]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4201,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5483_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19097,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4201]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19098,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X1)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19097]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4185,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X1),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5488_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19065,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X1),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4185]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19066,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19065]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4179,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X1))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5489_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19053,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X1))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4179]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19054,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19053]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4173,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X1),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5490_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19041,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X1),X3)
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4173]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19042,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X1),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19041]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4167,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X1))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5491_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19029,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X1))
% 4.55/4.82 | ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4167]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19030,plain,
% 4.55/4.82 ( ~ class_Int_Onumber(X0)
% 4.55/4.82 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X1)) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19029]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4164,plain,
% 4.55/4.82 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.55/4.82 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 4.55/4.82 | ~ hBOOL(hAPP(X0,sk1_esk13_3(X2,X1,X0))) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5492_2) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19023,plain,
% 4.55/4.82 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.55/4.82 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 4.55/4.82 | ~ hBOOL(hAPP(X0,sk1_esk13_3(X2,X1,X0))) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4164]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19024,plain,
% 4.55/4.82 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 4.55/4.82 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.55/4.82 | ~ hBOOL(hAPP(X0,sk1_esk13_3(X2,X1,X0))) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19023]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4161,plain,
% 4.55/4.82 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.55/4.82 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 4.55/4.82 | ~ hBOOL(hAPP(X0,sk1_esk12_3(X2,X1,X0))) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5493_2) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19017,plain,
% 4.55/4.82 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.55/4.82 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 4.55/4.82 | ~ hBOOL(hAPP(X0,sk1_esk12_3(X2,X1,X0))) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4161]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19018,plain,
% 4.55/4.82 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 4.55/4.82 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.55/4.82 | ~ hBOOL(hAPP(X0,sk1_esk12_3(X2,X1,X0))) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19017]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4158,plain,
% 4.55/4.82 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 4.55/4.82 | ~ hBOOL(hAPP(X0,sk1_esk13_3(X2,X1,X0))) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5494_2) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19011,plain,
% 4.55/4.82 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 4.55/4.82 | ~ hBOOL(hAPP(X0,sk1_esk13_3(X2,X1,X0))) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4158]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19012,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.55/4.82 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 4.55/4.82 | ~ hBOOL(hAPP(X2,sk1_esk13_3(X1,X0,X2))) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19011]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4155,plain,
% 4.55/4.82 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 4.55/4.82 | ~ hBOOL(hAPP(X0,sk1_esk12_3(X2,X1,X0))) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5495_2) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19005,plain,
% 4.55/4.82 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.55/4.82 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 4.55/4.82 | ~ hBOOL(hAPP(X0,sk1_esk12_3(X2,X1,X0))) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4155]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19006,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.55/4.82 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 4.55/4.82 | ~ hBOOL(hAPP(X2,sk1_esk12_3(X1,X0,X2))) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19005]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4153,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 4.55/4.82 | ~ 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)) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5498_1) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19001,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 4.55/4.82 | ~ 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)) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4153]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_19002,plain,
% 4.55/4.82 ( ~ 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_Int_OPls)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_19001]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4151,plain,
% 4.55/4.82 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5499_1) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18997,plain,
% 4.55/4.82 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4151]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18998,plain,
% 4.55/4.82 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18997]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4147,plain,
% 4.55/4.82 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5500_1) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18989,plain,
% 4.55/4.82 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4147]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18990,plain,
% 4.55/4.82 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18989]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4135,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.55/4.82 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5503_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18965,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.55/4.82 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4135]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18966,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18965]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4129,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.55/4.82 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5504_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18953,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.55/4.82 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4129]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18954,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X4,X3))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18953]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4127,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5505_1) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18949,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4127]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18950,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18949]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4125,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5505_3) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18945,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4125]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18946,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18945]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4123,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.55/4.82 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5505_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18941,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.55/4.82 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4123]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18942,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18941]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4119,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5506_3) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18933,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4119]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18934,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18933]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4117,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.55/4.82 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5506_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18929,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.55/4.82 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4117]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18930,plain,
% 4.55/4.82 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18929]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4115,plain,
% 4.55/4.82 ( ~ class_Rings_Oordered__semiring(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5507_1) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18925,plain,
% 4.55/4.82 ( ~ class_Rings_Oordered__semiring(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4115]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18926,plain,
% 4.55/4.82 ( ~ class_Rings_Oordered__semiring(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18925]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4113,plain,
% 4.55/4.82 ( ~ class_Rings_Oordered__semiring(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5507_3) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18921,plain,
% 4.55/4.82 ( ~ class_Rings_Oordered__semiring(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4113]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18922,plain,
% 4.55/4.82 ( ~ class_Rings_Oordered__semiring(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18921]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4111,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.55/4.82 | ~ class_Rings_Oordered__semiring(X0) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5507_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18917,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.55/4.82 | ~ class_Rings_Oordered__semiring(X0) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4111]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18918,plain,
% 4.55/4.82 ( ~ class_Rings_Oordered__semiring(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18917]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4109,plain,
% 4.55/4.82 ( ~ class_Rings_Oordered__semiring(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5508_1) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18913,plain,
% 4.55/4.82 ( ~ class_Rings_Oordered__semiring(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4109]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18914,plain,
% 4.55/4.82 ( ~ class_Rings_Oordered__semiring(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),c_Groups_Otimes__class_Otimes(X0,X1,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18913]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4107,plain,
% 4.55/4.82 ( ~ class_Rings_Oordered__semiring(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5508_3) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18909,plain,
% 4.55/4.82 ( ~ class_Rings_Oordered__semiring(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4107]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18910,plain,
% 4.55/4.82 ( ~ class_Rings_Oordered__semiring(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18909]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4105,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.55/4.82 | ~ class_Rings_Oordered__semiring(X0) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5508_5) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18905,plain,
% 4.55/4.82 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.55/4.82 | ~ class_Rings_Oordered__semiring(X0) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4105]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18906,plain,
% 4.55/4.82 ( ~ class_Rings_Oordered__semiring(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.82 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 4.55/4.82 inference(rewriting,[status(thm)],[c_18905]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_4101,plain,
% 4.55/4.82 ( ~ class_Fields_Olinordered__field(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X4,X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 4.55/4.82 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5509_3) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18897,plain,
% 4.55/4.82 ( ~ class_Fields_Olinordered__field(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,X4,X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 4.55/4.82 inference(copy,[status(esa)],[c_4101]) ).
% 4.55/4.82
% 4.55/4.82 cnf(c_18898,plain,
% 4.55/4.82 ( ~ class_Fields_Olinordered__field(X0)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.82 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.82 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18897]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4099,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X4,X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | ~ class_Fields_Olinordered__field(X0) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5509_5) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18893,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X4,X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | ~ class_Fields_Olinordered__field(X0) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4099]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18894,plain,
% 4.55/4.83 ( ~ class_Fields_Olinordered__field(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18893]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4093,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | ~ class_Fields_Olinordered__field(X0) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5510_5) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18881,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | ~ class_Fields_Olinordered__field(X0) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4093]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18882,plain,
% 4.55/4.83 ( ~ class_Fields_Olinordered__field(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),c_Rings_Oinverse__class_Odivide(X0,X4,X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18881]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4090,plain,
% 4.55/4.83 ( ~ class_Fields_Olinordered__field(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),c_Rings_Oinverse__class_Odivide(X0,X2,X4))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X3)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5511_2) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18875,plain,
% 4.55/4.83 ( ~ class_Fields_Olinordered__field(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),c_Rings_Oinverse__class_Odivide(X0,X2,X4))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X3)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4090]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18876,plain,
% 4.55/4.83 ( ~ class_Fields_Olinordered__field(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18875]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4087,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | ~ class_Fields_Olinordered__field(X0) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5511_5) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18869,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | ~ class_Fields_Olinordered__field(X0) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4087]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18870,plain,
% 4.55/4.83 ( ~ class_Fields_Olinordered__field(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18869]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4082,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5513_4) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18859,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4082]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18860,plain,
% 4.55/4.83 ( ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18859]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4077,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5514_4) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18849,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4077]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18850,plain,
% 4.55/4.83 ( ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18849]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4072,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5515_4) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18839,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4072]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18840,plain,
% 4.55/4.83 ( ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X1)) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18839]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4067,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5516_4) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18829,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4067]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18830,plain,
% 4.55/4.83 ( ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X1),X3) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18829]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4063,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X2),X4)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X3)
% 4.55/4.83 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5517_3) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18821,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Otimes__class_Otimes(X0,X3,X4))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X2),X4)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X3)
% 4.55/4.83 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4063]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18822,plain,
% 4.55/4.83 ( ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X3),X4)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X3),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Otimes__class_Otimes(X0,X4,X2)) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18821]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4060,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3)
% 4.55/4.83 | ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X3,X1)),X2) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5518_2) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18815,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3)
% 4.55/4.83 | ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X3,X1)),X2) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4060]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18816,plain,
% 4.55/4.83 ( ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X1) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18815]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4057,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.55/4.83 | ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5519_2) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18809,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.55/4.83 | ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4057]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18810,plain,
% 4.55/4.83 ( ~ class_Rings_Olinordered__idom(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18809]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4051,plain,
% 4.55/4.83 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5521_1) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18797,plain,
% 4.55/4.83 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4051]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18798,plain,
% 4.55/4.83 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18797]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4049,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5521_3) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18793,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4049]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18794,plain,
% 4.55/4.83 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18793]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4046,plain,
% 4.55/4.83 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X0,X0),c_Groups_Otimes__class_Otimes(X1,X2,X2)),c_Groups_Ozero__class_Ozero(X1))
% 4.55/4.83 | ~ class_Rings_Olinordered__ring__strict(X1)
% 4.55/4.83 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5522_2) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18787,plain,
% 4.55/4.83 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X0,X0),c_Groups_Otimes__class_Otimes(X1,X2,X2)),c_Groups_Ozero__class_Ozero(X1))
% 4.55/4.83 | ~ class_Rings_Olinordered__ring__strict(X1)
% 4.55/4.83 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4046]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18788,plain,
% 4.55/4.83 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.83 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18787]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4045,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.55/4.83 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.83 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5522_3) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18785,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.55/4.83 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.83 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4045]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18786,plain,
% 4.55/4.83 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.55/4.83 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18785]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4040,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X3))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5523_4) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18775,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X3))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4040]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18776,plain,
% 4.55/4.83 ( ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18775]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4035,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),X3)
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5524_4) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18765,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),X3)
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4035]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18766,plain,
% 4.55/4.83 ( ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3),X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18765]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4030,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X3))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5525_4) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18755,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X3))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4030]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18756,plain,
% 4.55/4.83 ( ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X1)) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18755]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4025,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),X3)
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5526_4) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18745,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),X3)
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4025]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18746,plain,
% 4.55/4.83 ( ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X1),X3) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18745]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4008,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)),X2) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5531_5) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18711,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)),X2) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4008]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18712,plain,
% 4.55/4.83 ( ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)),X1)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18711]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_4002,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5532_5) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18699,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_4002]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18700,plain,
% 4.55/4.83 ( ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18699]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_3996,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)),X2) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5533_5) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18687,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)),X2) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_3996]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18688,plain,
% 4.55/4.83 ( ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)),X2) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18687]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_3990,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5534_5) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18675,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_3990]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18676,plain,
% 4.55/4.83 ( ~ class_Int_Onumber(X0)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.55/4.83 inference(rewriting,[status(thm)],[c_18675]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_3985,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X3)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5535_4) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18665,plain,
% 4.55/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X3)
% 4.55/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.55/4.83 inference(copy,[status(esa)],[c_3985]) ).
% 4.55/4.83
% 4.55/4.83 cnf(c_18666,plain,
% 4.55/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.55/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.55/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 4.55/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18665]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3980,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5536_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18655,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3980]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18656,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18655]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3975,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5537_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18645,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3975]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18646,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18645]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3965,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5539_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18625,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3965]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18626,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18625]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3960,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5540_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18615,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3960]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18616,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18615]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3955,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5541_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18605,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3955]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18606,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18605]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3950,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5542_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18595,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3950]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18596,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18595]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3940,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5544_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18575,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3940]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18576,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18575]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3935,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X3)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5545_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18565,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X3)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3935]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18566,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18565]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3930,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5546_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18555,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3930]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18556,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18555]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3926,plain,
% 4.65/4.83 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5547_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18547,plain,
% 4.65/4.83 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3926]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18548,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18547]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3925,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5547_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18545,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3925]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18546,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18545]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3915,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5549_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18525,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3915]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18526,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18525]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3910,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5550_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18515,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3910]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18516,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18515]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3905,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5551_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18505,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3905]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18506,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18505]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3900,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5552_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18495,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3900]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18496,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Otimes__class_Otimes(X0,X2,X1))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18495]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3891,plain,
% 4.65/4.83 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5554_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18477,plain,
% 4.65/4.83 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3891]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18478,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18477]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3890,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5554_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18475,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3890]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18476,plain,
% 4.65/4.83 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18475]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3878,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5557_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18451,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3878]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18452,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18451]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3874,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | ~ class_Rings_Olinordered__semiring(X0) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5558_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18443,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | ~ class_Rings_Olinordered__semiring(X0) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3874]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18444,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__semiring(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18443]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3870,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.83 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5559_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18435,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.83 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3870]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18436,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18435]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3866,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.83 | ~ class_Rings_Olinordered__semiring(X0) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5560_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18427,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.83 | ~ class_Rings_Olinordered__semiring(X0) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3866]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18428,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__semiring(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18427]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3862,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),c_Groups_Otimes__class_Otimes(X0,X3,X1)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5561_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18419,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),c_Groups_Otimes__class_Otimes(X0,X3,X1)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3862]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18420,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18419]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3858,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X3,X2)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5562_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18411,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X3,X2)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3858]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18412,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18411]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3854,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X3,X2)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5563_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18403,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X3,X2)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3854]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18404,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18403]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3850,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),c_Groups_Otimes__class_Otimes(X0,X3,X1)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5564_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18395,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),c_Groups_Otimes__class_Otimes(X0,X3,X1)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3850]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18396,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18395]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3846,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,X3),c_Power_Opower__class_Opower(X0,X2,X3))
% 4.65/4.83 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5565_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18387,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,X3),c_Power_Opower__class_Opower(X0,X2,X3))
% 4.65/4.83 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3846]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18388,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X2,X3),c_Power_Opower__class_Opower(X0,X1,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18387]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3830,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.83 | ~ class_Rings_Olinordered__semidom(X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X2,c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X2,X3,X1)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5569_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18355,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.83 | ~ class_Rings_Olinordered__semidom(X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X2,c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X2,X3,X1)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3830]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18356,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X3,X1),c_Power_Opower__class_Opower(X0,X3,X2)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18355]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3828,plain,
% 4.65/4.83 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.83 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.83 | c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.83 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5570_1) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18351,plain,
% 4.65/4.83 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.83 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.83 | c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.83 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3828]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18352,plain,
% 4.65/4.83 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.83 | c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.83 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.83 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18351]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3824,plain,
% 4.65/4.83 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.83 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.83 | c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.83 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5571_1) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18343,plain,
% 4.65/4.83 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.83 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.83 | c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.83 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3824]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18344,plain,
% 4.65/4.83 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.83 | c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.83 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.83 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18343]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3820,plain,
% 4.65/4.83 ( ~ class_Fields_Ofield(X0)
% 4.65/4.83 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.83 | c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.83 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5572_1) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18335,plain,
% 4.65/4.83 ( ~ class_Fields_Ofield(X0)
% 4.65/4.83 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.83 | c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.83 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3820]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18336,plain,
% 4.65/4.83 ( ~ class_Fields_Ofield(X0)
% 4.65/4.83 | c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.83 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.83 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18335]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3815,plain,
% 4.65/4.83 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2))) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.83 | ~ class_Rings_Oring(X0)
% 4.65/4.83 | ~ class_Int_Onumber(X0) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5573_2) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18325,plain,
% 4.65/4.83 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2))) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.83 | ~ class_Rings_Oring(X0)
% 4.65/4.83 | ~ class_Int_Onumber(X0) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3815]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18326,plain,
% 4.65/4.83 ( ~ class_Rings_Oring(X0)
% 4.65/4.83 | ~ class_Int_Onumber(X0)
% 4.65/4.83 | c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2))) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18325]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3812,plain,
% 4.65/4.83 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3)) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ominus__class_Ominus(X0,X2,X3))
% 4.65/4.83 | ~ class_Rings_Oring(X0)
% 4.65/4.83 | ~ class_Int_Onumber(X0) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5574_2) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18319,plain,
% 4.65/4.83 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3)) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ominus__class_Ominus(X0,X2,X3))
% 4.65/4.83 | ~ class_Rings_Oring(X0)
% 4.65/4.83 | ~ class_Int_Onumber(X0) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3812]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18320,plain,
% 4.65/4.83 ( ~ class_Rings_Oring(X0)
% 4.65/4.83 | ~ class_Int_Onumber(X0)
% 4.65/4.83 | c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3)) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ominus__class_Ominus(X0,X2,X3)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18319]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3809,plain,
% 4.65/4.83 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3)) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.65/4.83 | ~ class_Rings_Osemiring(X0)
% 4.65/4.83 | ~ class_Int_Onumber(X0) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5575_2) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18313,plain,
% 4.65/4.83 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3)) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.65/4.83 | ~ class_Rings_Osemiring(X0)
% 4.65/4.83 | ~ class_Int_Onumber(X0) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3809]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18314,plain,
% 4.65/4.83 ( ~ class_Rings_Osemiring(X0)
% 4.65/4.83 | ~ class_Int_Onumber(X0)
% 4.65/4.83 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2),c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3)) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18313]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3806,plain,
% 4.65/4.83 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2))) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.83 | ~ class_Rings_Osemiring(X0)
% 4.65/4.83 | ~ class_Int_Onumber(X0) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5576_2) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18307,plain,
% 4.65/4.83 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2))) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.83 | ~ class_Rings_Osemiring(X0)
% 4.65/4.83 | ~ class_Int_Onumber(X0) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3806]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18308,plain,
% 4.65/4.83 ( ~ class_Rings_Osemiring(X0)
% 4.65/4.83 | ~ class_Int_Onumber(X0)
% 4.65/4.83 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2))) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18307]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3797,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5579_2) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18289,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3797]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18290,plain,
% 4.65/4.83 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X0))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18289]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3780,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Otimes__class_Otimes(X0,X3,X1)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5583_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18255,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Otimes__class_Otimes(X0,X3,X1)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3780]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18256,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18255]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3776,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5584_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18247,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3776]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18248,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18247]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3747,plain,
% 4.65/4.83 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X4),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.65/4.83 | X1 != X3 ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5594_2) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18189,plain,
% 4.65/4.83 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X4),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.65/4.83 | X1 != X3 ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3747]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18190,plain,
% 4.65/4.83 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.65/4.83 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X4),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | X1 != X3 ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18189]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3744,plain,
% 4.65/4.83 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X4),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.65/4.83 | X2 != X4 ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5595_2) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18183,plain,
% 4.65/4.83 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X4),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.65/4.83 | X2 != X4 ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3744]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18184,plain,
% 4.65/4.83 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.65/4.83 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X4),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | X2 != X4 ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18183]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3739,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.83 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5596_4) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18173,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.83 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3739]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18174,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2))
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18173]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3735,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X2,X1)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5597_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18165,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X2,X1)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3735]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18166,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18165]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3731,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X3)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5598_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18157,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X3)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3731]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18158,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18157]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3727,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5599_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18149,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3727]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18150,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18149]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3723,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X3,X2)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5600_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18141,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X3,X2)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3723]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18142,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18141]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3710,plain,
% 4.65/4.83 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5607_0) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18115,plain,
% 4.65/4.83 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3710]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18116,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.65/4.83 inference(rewriting,[status(thm)],[c_18115]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_3707,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X3)) ),
% 4.65/4.83 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5607_3) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18109,plain,
% 4.65/4.83 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.83 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.65/4.83 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X3)) ),
% 4.65/4.83 inference(copy,[status(esa)],[c_3707]) ).
% 4.65/4.83
% 4.65/4.83 cnf(c_18110,plain,
% 4.65/4.83 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.83 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_18109]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3706,plain,
% 4.65/4.84 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5608_0) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_18107,plain,
% 4.65/4.84 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3706]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_18108,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_18107]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3703,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.65/4.84 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X3,X2)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5608_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_18101,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.65/4.84 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X3,X2)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3703]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_18102,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_18101]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3665,plain,
% 4.65/4.84 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.65/4.84 | X1 != X2
% 4.65/4.84 | X3 = X4
% 4.65/4.84 | X5 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X5,X3)) != c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Otimes__class_Otimes(X0,X5,X4)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5618_2) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_18025,plain,
% 4.65/4.84 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.65/4.84 | X1 != X2
% 4.65/4.84 | X3 = X4
% 4.65/4.84 | X5 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X5,X3)) != c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Otimes__class_Otimes(X0,X5,X4)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3665]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_18026,plain,
% 4.65/4.84 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)) != c_Groups_Oplus__class_Oplus(X0,X4,c_Groups_Otimes__class_Otimes(X0,X2,X5))
% 4.65/4.84 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.84 | X1 != X4
% 4.65/4.84 | X3 = X5 ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_18025]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3663,plain,
% 4.65/4.84 ( X0 = X1
% 4.65/4.84 | X2 = c_Groups_Ozero__class_Ozero(X3)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(X3,X4,c_Groups_Otimes__class_Otimes(X3,X2,X0)) != c_Groups_Oplus__class_Oplus(X3,X5,c_Groups_Otimes__class_Otimes(X3,X2,X1))
% 4.65/4.84 | X4 != X5
% 4.65/4.84 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5618_4) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_18021,plain,
% 4.65/4.84 ( X0 = X1
% 4.65/4.84 | X2 = c_Groups_Ozero__class_Ozero(X3)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(X3,X4,c_Groups_Otimes__class_Otimes(X3,X2,X0)) != c_Groups_Oplus__class_Oplus(X3,X5,c_Groups_Otimes__class_Otimes(X3,X2,X1))
% 4.65/4.84 | X4 != X5
% 4.65/4.84 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3663]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_18022,plain,
% 4.65/4.84 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)) != c_Groups_Oplus__class_Oplus(X0,X4,c_Groups_Otimes__class_Otimes(X0,X2,X5))
% 4.65/4.84 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.84 | X3 = X5
% 4.65/4.84 | X1 != X4 ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_18021]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3657,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.84 | c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | X1 = X2
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5620_1) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_18009,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.84 | c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | X1 = X2
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3657]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_18010,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.65/4.84 | X1 = X2 ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_18009]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3654,plain,
% 4.65/4.84 ( X0 = X1
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0)
% 4.65/4.84 | c_Power_Opower__class_Opower(X2,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.65/4.84 | ~ class_Rings_Olinordered__semidom(X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5620_4) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_18003,plain,
% 4.65/4.84 ( X0 = X1
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0)
% 4.65/4.84 | c_Power_Opower__class_Opower(X2,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.65/4.84 | ~ class_Rings_Olinordered__semidom(X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3654]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_18004,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.65/4.84 | X2 = X1 ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_18003]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3650,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5621_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17995,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3650]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17996,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17995]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3646,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5622_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17987,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3646]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17988,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17987]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3642,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5623_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17979,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3642]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17980,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17979]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3638,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5624_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17971,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3638]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17972,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17971]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3626,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5627_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17947,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3626]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17948,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17947]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3618,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5629_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17931,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3618]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17932,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17931]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3614,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5630_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17923,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3614]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17924,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17923]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3610,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5631_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17915,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3610]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17916,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17915]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3606,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5632_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17907,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3606]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17908,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17907]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3602,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5633_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17899,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3602]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17900,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17899]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3598,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5634_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17891,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3598]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17892,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17891]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3594,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5635_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17883,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3594]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17884,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17883]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3590,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5636_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17875,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X1) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3590]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17876,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17875]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3586,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5637_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17867,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3586]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17868,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17867]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3582,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5638_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17859,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3582]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17860,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17859]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3570,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5641_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17835,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3570]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17836,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X1)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17835]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3562,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5643_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17819,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3562]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17820,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17819]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3554,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5645_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17803,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3554]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17804,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X1)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17803]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3550,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5646_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17795,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3550]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17796,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X1)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17795]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3546,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5647_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17787,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3546]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17788,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17787]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3542,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5648_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17779,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3542]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17780,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17779]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3536,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5649_5) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17767,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3536]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17768,plain,
% 4.65/4.84 ( ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17767]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3530,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5650_5) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17755,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3530]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17756,plain,
% 4.65/4.84 ( ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17755]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3524,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5651_5) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17743,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3524]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17744,plain,
% 4.65/4.84 ( ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17743]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3518,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5652_5) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17731,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3518]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17732,plain,
% 4.65/4.84 ( ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17731]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3512,plain,
% 4.65/4.84 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5654_1) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17719,plain,
% 4.65/4.84 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3512]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17720,plain,
% 4.65/4.84 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17719]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3510,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5654_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17715,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3510]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17716,plain,
% 4.65/4.84 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17715]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3486,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5664_5) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17667,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3486]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17668,plain,
% 4.65/4.84 ( ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17667]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3480,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5665_5) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17655,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3480]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17656,plain,
% 4.65/4.84 ( ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17655]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3474,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5666_5) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17643,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3474]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17644,plain,
% 4.65/4.84 ( ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)),X2) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17643]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3468,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5667_5) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17631,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X3)))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X3),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3468]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17632,plain,
% 4.65/4.84 ( ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1))) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17631]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3464,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5668_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17623,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3464]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17624,plain,
% 4.65/4.84 ( ~ class_Int_Onumber__ring(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17623]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3450,plain,
% 4.65/4.84 ( hBOOL(hAPP(X0,X1))
% 4.65/4.84 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
% 4.65/4.84 | X2 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5673_2) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17595,plain,
% 4.65/4.84 ( hBOOL(hAPP(X0,X1))
% 4.65/4.84 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
% 4.65/4.84 | X2 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3450]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17596,plain,
% 4.65/4.84 ( ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.65/4.84 | hBOOL(hAPP(X0,X3))
% 4.65/4.84 | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17595]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3447,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5674_2) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17589,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3447]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17590,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17589]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3441,plain,
% 4.65/4.84 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.84 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.84 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5676_2) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17577,plain,
% 4.65/4.84 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.84 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.84 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3441]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17578,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.84 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.84 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17577]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3440,plain,
% 4.65/4.84 ( c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.84 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.84 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.84 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5676_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17575,plain,
% 4.65/4.84 ( c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.84 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.84 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.84 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3440]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17576,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.84 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.84 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17575]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3410,plain,
% 4.65/4.84 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5686_2) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17515,plain,
% 4.65/4.84 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3410]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17516,plain,
% 4.65/4.84 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.65/4.84 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17515]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3402,plain,
% 4.65/4.84 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,c_RealVector_Onorm__class_Onorm(X1,X3)))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.65/4.84 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5688_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17499,plain,
% 4.65/4.84 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,c_RealVector_Onorm__class_Onorm(X1,X3)))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.65/4.84 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3402]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17500,plain,
% 4.65/4.84 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,c_RealVector_Onorm__class_Onorm(X0,X3)))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.65/4.84 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17499]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3400,plain,
% 4.65/4.84 ( 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))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5689_1) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17495,plain,
% 4.65/4.84 ( 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))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3400]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17496,plain,
% 4.65/4.84 ( 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_Int_OPls)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17495]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3396,plain,
% 4.65/4.84 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.84 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5691_1) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17487,plain,
% 4.65/4.84 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.84 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3396]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17488,plain,
% 4.65/4.84 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.84 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.84 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17487]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3388,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.84 | c_Power_Opower__class_Opower(X0,X1,X2) != c_Power_Opower__class_Opower(X0,X3,X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | X1 = X3
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5694_2) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17471,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.84 | c_Power_Opower__class_Opower(X0,X1,X2) != c_Power_Opower__class_Opower(X0,X3,X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | X1 = X3
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3388]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17472,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)
% 4.65/4.84 | c_Power_Opower__class_Opower(X0,X1,X3) != c_Power_Opower__class_Opower(X0,X2,X3)
% 4.65/4.84 | X1 = X2 ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17471]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3385,plain,
% 4.65/4.84 ( X0 = X1
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X0)
% 4.65/4.84 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 4.65/4.84 | ~ class_Rings_Olinordered__semidom(X3) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5694_5) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17465,plain,
% 4.65/4.84 ( X0 = X1
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X0)
% 4.65/4.84 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 4.65/4.84 | ~ class_Rings_Olinordered__semidom(X3) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3385]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17466,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)
% 4.65/4.84 | c_Power_Opower__class_Opower(X0,X2,X3) != c_Power_Opower__class_Opower(X0,X1,X3)
% 4.65/4.84 | X2 = X1 ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17465]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3379,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5695_5) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17453,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3379]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17454,plain,
% 4.65/4.84 ( ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17453]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3373,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5696_5) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17441,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3373]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17442,plain,
% 4.65/4.84 ( ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17441]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3367,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5697_5) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17429,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X0,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X3)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3367]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17430,plain,
% 4.65/4.84 ( ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17429]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3361,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5698_5) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17417,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3361]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17418,plain,
% 4.65/4.84 ( ~ class_Int_Onumber(X0)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17417]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3357,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5699_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17409,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3357]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17410,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17409]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3353,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5700_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17401,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3353]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17402,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17401]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3349,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.84 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5701_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17393,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.84 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3349]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17394,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17393]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3333,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5705_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17361,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3333]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17362,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17361]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3325,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.84 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5707_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17345,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.84 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3325]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17346,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17345]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3321,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.65/4.84 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5708_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17337,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.65/4.84 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3321]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17338,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17337]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3317,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.65/4.84 | ~ class_Rings_Olinordered__comm__semiring__strict(X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5709_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17329,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.65/4.84 | ~ class_Rings_Olinordered__comm__semiring__strict(X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3317]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17330,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__comm__semiring__strict(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17329]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3305,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.84 | ~ class_Rings_Oordered__semiring(X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5712_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17305,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.84 | ~ class_Rings_Oordered__semiring(X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3305]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17306,plain,
% 4.65/4.84 ( ~ class_Rings_Oordered__semiring(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Otimes__class_Otimes(X0,X3,X1))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17305]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3301,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.65/4.84 | ~ class_Rings_Oordered__semiring(X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5713_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17297,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.65/4.84 | ~ class_Rings_Oordered__semiring(X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3301]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17298,plain,
% 4.65/4.84 ( ~ class_Rings_Oordered__semiring(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17297]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3297,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.65/4.84 | ~ class_Rings_Oordered__comm__semiring(X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5714_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17289,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.65/4.84 | ~ class_Rings_Oordered__comm__semiring(X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3297]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17290,plain,
% 4.65/4.84 ( ~ class_Rings_Oordered__comm__semiring(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17289]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3285,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.84 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5717_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17265,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.84 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3285]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17266,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17265]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3281,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5718_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17257,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3281]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17258,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17257]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3273,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5720_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17241,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3273]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17242,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17241]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3264,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5722_4) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17223,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3264]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17224,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17223]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3259,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5723_4) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17213,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3259]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17214,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17213]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3247,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3))
% 4.65/4.84 | ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5727_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17189,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3))
% 4.65/4.84 | ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3247]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17190,plain,
% 4.65/4.84 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X3,X1),c_Power_Opower__class_Opower(X0,X3,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17189]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3232,plain,
% 4.65/4.84 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk13_3(X2,X1,X0)) = X1 ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5731_2) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17159,plain,
% 4.65/4.84 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk13_3(X2,X1,X0)) = X1 ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3232]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17160,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.84 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,sk1_esk13_3(X1,X0,X2)) = X0 ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17159]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3229,plain,
% 4.65/4.84 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk12_3(X2,X1,X0)) = X1 ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5732_2) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17153,plain,
% 4.65/4.84 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk12_3(X2,X1,X0)) = X1 ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3229]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17154,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.84 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 4.65/4.84 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,sk1_esk12_3(X1,X0,X2)) = X0 ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17153]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3203,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.84 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5739_3) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17101,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.84 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3203]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17102,plain,
% 4.65/4.84 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X4,X2))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17101]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3197,plain,
% 4.65/4.84 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5741_1) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17089,plain,
% 4.65/4.84 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3197]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17090,plain,
% 4.65/4.84 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17089]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3193,plain,
% 4.65/4.84 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5742_1) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17081,plain,
% 4.65/4.84 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3193]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17082,plain,
% 4.65/4.84 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17081]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3188,plain,
% 4.65/4.84 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2)))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5743_2) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17071,plain,
% 4.65/4.84 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2)))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3188]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17072,plain,
% 4.65/4.84 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2)))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.65/4.84 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17071]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3178,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5746_4) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17051,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3178]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17052,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17051]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3173,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5747_4) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17041,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3173]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17042,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17041]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3172,plain,
% 4.65/4.84 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5748_0) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17039,plain,
% 4.65/4.84 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3172]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17040,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17039]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3168,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5748_4) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17031,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3168]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17032,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17031]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3166,plain,
% 4.65/4.84 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5749_1) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17027,plain,
% 4.65/4.84 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.84 inference(copy,[status(esa)],[c_3166]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17028,plain,
% 4.65/4.84 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.84 inference(rewriting,[status(thm)],[c_17027]) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_3163,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.84 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.84 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5749_4) ).
% 4.65/4.84
% 4.65/4.84 cnf(c_17021,plain,
% 4.65/4.84 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.84 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3163]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_17022,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_17021]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3157,plain,
% 4.65/4.85 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X1)
% 4.65/4.85 | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X0,X0),c_Groups_Otimes__class_Otimes(X1,X2,X2)) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5751_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_17009,plain,
% 4.65/4.85 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X1)
% 4.65/4.85 | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X0,X0),c_Groups_Otimes__class_Otimes(X1,X2,X2)) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3157]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_17010,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.85 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_17009]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3154,plain,
% 4.65/4.85 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X1)
% 4.65/4.85 | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X2),c_Groups_Otimes__class_Otimes(X1,X0,X0)) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5752_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_17003,plain,
% 4.65/4.85 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X1)
% 4.65/4.85 | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X2),c_Groups_Otimes__class_Otimes(X1,X0,X0)) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3154]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_17004,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.85 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_17003]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3109,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5774_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16913,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3109]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16914,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16913]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3106,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5775_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16907,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3106]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16908,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16907]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3103,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5776_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16901,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3103]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16902,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16901]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3098,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X2),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X1,X3))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5778_1) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16891,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X2),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X1,X3))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3098]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16892,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X3))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16891]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3094,plain,
% 4.65/4.85 ( 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))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5779_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16883,plain,
% 4.65/4.85 ( 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))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3094]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16884,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.65/4.85 | 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))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16883]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3092,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5780_1) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16879,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3092]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16880,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16879]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3089,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.85 | 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))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5781_1) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16873,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.85 | 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))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3089]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16874,plain,
% 4.65/4.85 ( 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))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16873]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3085,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5782_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16865,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3085]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16866,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16865]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3083,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.85 | 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))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5783_1) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16861,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.85 | 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))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3083]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16862,plain,
% 4.65/4.85 ( 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))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16861]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3079,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.85 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5784_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16853,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.85 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3079]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16854,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.65/4.85 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16853]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3068,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X2),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1))
% 4.65/4.85 | ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5787_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16831,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X2),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1))
% 4.65/4.85 | ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3068]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16832,plain,
% 4.65/4.85 ( ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X2),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16831]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3067,plain,
% 4.65/4.85 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5787_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16829,plain,
% 4.65/4.85 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3067]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16830,plain,
% 4.65/4.85 ( ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16829]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3063,plain,
% 4.65/4.85 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5788_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16821,plain,
% 4.65/4.85 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3063]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16822,plain,
% 4.65/4.85 ( ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16821]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3059,plain,
% 4.65/4.85 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5789_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16813,plain,
% 4.65/4.85 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3059]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16814,plain,
% 4.65/4.85 ( ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X2),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16813]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3056,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X2),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1))
% 4.65/4.85 | ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5790_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16807,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X2),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1))
% 4.65/4.85 | ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3056]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16808,plain,
% 4.65/4.85 ( ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X2),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16807]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_3055,plain,
% 4.65/4.85 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5790_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16805,plain,
% 4.65/4.85 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_3055]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16806,plain,
% 4.65/4.85 ( ~ class_Rings_Oordered__ring__abs(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16805]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2992,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5819_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16679,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2992]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16680,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16679]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2988,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5820_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16671,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2988]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16672,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16671]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2984,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X1)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5821_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16663,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X1)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2984]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16664,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16663]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2980,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X1)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5822_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16655,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X1)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2980]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16656,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16655]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2976,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5823_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16647,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2976]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16648,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16647]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2975,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5824_0) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16645,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2975]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16646,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16645]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2972,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5824_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16639,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2972]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16640,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16639]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2971,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5825_0) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16637,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2971]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16638,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16637]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2968,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5825_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16631,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2968]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16632,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16631]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2964,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5826_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16623,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2964]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16624,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16623]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2960,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5827_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16615,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2960]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16616,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16615]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2959,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5828_0) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16613,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2959]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16614,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16613]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2956,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5828_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16607,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2956]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16608,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16607]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2955,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5829_0) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16605,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2955]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16606,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16605]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2952,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5829_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16599,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2952]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16600,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16599]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2948,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5830_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16591,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2948]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16592,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16591]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2944,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5831_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16583,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2944]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16584,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16583]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2940,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5832_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16575,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2940]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16576,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16575]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2936,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5833_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16567,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2936]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16568,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16567]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2932,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5834_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16559,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2932]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16560,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16559]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2928,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5835_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16551,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2928]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16552,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16551]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2927,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5836_0) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16549,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2927]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16550,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16549]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2924,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5836_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16543,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2924]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16544,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16543]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2923,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5837_0) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16541,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2923]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16542,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16541]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2920,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5837_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16535,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2920]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16536,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16535]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2916,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5838_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16527,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2916]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16528,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16527]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2912,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5839_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16519,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2912]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16520,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16519]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2908,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5840_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16511,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2908]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16512,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16511]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2904,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5841_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16503,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2904]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16504,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16503]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2900,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5842_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16495,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2900]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16496,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16495]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2890,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5844_4) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16475,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2890]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16476,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16475]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2880,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5846_4) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16455,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2880]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16456,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16455]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2871,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5848_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16437,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2871]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16438,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16437]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2870,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5848_4) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16435,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2870]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16436,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16435]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2861,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5850_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16417,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2861]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16418,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16417]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2860,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5850_4) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16415,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2860]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16416,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16415]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2850,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5853_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16395,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2850]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16396,plain,
% 4.65/4.85 ( ~ class_Int_Onumber__ring(X0)
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16395]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2846,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_RealVector_Onorm__class_Onorm(X0,X1))
% 4.65/4.85 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5854_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16387,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_RealVector_Onorm__class_Onorm(X0,X1))
% 4.65/4.85 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2846]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16388,plain,
% 4.65/4.85 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_RealVector_Onorm__class_Onorm(X0,X1))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16387]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2844,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5855_1) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16383,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2844]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16384,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16383]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2840,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5856_1) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16375,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2840]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16376,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16375]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2824,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5860_1) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16343,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2824]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16344,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16343]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2819,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5861_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16333,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2819]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16334,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16333]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2818,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5861_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16331,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2818]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16332,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16331]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2815,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5862_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16325,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2815]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16326,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16325]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2814,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5862_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16323,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2814]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16324,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16323]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2810,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5863_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16315,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2810]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16316,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16315]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2806,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5864_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16307,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2806]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16308,plain,
% 4.65/4.85 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16307]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2804,plain,
% 4.65/4.85 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5865_1) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16303,plain,
% 4.65/4.85 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2804]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16304,plain,
% 4.65/4.85 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16303]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2783,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Oordered__ring(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5870_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16261,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Oordered__ring(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2783]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16262,plain,
% 4.65/4.85 ( ~ class_Rings_Oordered__ring(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16261]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2782,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Oordered__ring(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5870_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16259,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Oordered__ring(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2782]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16260,plain,
% 4.65/4.85 ( ~ class_Rings_Oordered__ring(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16259]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2779,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Oordered__ring(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5871_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16253,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ class_Rings_Oordered__ring(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2779]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16254,plain,
% 4.65/4.85 ( ~ class_Rings_Oordered__ring(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16253]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2766,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5874_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16227,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2766]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16228,plain,
% 4.65/4.85 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X2,X1))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16227]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2758,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5876_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16211,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2758]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16212,plain,
% 4.65/4.85 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16211]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2752,plain,
% 4.65/4.85 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5878_1) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16199,plain,
% 4.65/4.85 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2752]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16200,plain,
% 4.65/4.85 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16199]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2748,plain,
% 4.65/4.85 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5879_1) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16191,plain,
% 4.65/4.85 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2748]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16192,plain,
% 4.65/4.85 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16191]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2744,plain,
% 4.65/4.85 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5880_1) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16183,plain,
% 4.65/4.85 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2744]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16184,plain,
% 4.65/4.85 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16183]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2740,plain,
% 4.65/4.85 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5881_1) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16175,plain,
% 4.65/4.85 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2740]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16176,plain,
% 4.65/4.85 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16175]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2736,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5882_1) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16167,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2736]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16168,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16167]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2730,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5883_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16155,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2730]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16156,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16155]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2724,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5885_1) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16143,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2724]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16144,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16143]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2718,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5886_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16131,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2718]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16132,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16131]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2714,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5887_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16123,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2714]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16124,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16123]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2711,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5888_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16117,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2711]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16118,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16117]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2710,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5888_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16115,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2710]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16116,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16115]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2707,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5889_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16109,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2707]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16110,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16109]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2706,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5889_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16107,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2706]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16108,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16107]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2702,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5890_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16099,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2702]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16100,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16099]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2698,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5891_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16091,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2698]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16092,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16091]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2695,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5892_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16085,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2695]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16086,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16085]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2694,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5892_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16083,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2694]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16084,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16083]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2691,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5893_2) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16077,plain,
% 4.65/4.85 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2691]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16078,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16077]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2690,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5893_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16075,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2690]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16076,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16075]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2686,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5894_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16067,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2686]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16068,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16067]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2678,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5896_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16051,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.85 inference(copy,[status(esa)],[c_2678]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16052,plain,
% 4.65/4.85 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.85 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.85 inference(rewriting,[status(thm)],[c_16051]) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_2674,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.85 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.85 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5897_3) ).
% 4.65/4.85
% 4.65/4.85 cnf(c_16043,plain,
% 4.65/4.85 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2674]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_16044,plain,
% 4.65/4.86 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_16043]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2662,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.65/4.86 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5902_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_16019,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.65/4.86 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2662]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_16020,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_16019]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2659,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.65/4.86 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5903_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_16013,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.65/4.86 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2659]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_16014,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_16013]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2650,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.65/4.86 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5906_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15995,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.65/4.86 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2650]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15996,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15995]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2647,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.65/4.86 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5907_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15989,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.65/4.86 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2647]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15990,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15989]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2637,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.86 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5910_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15969,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.86 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2637]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15970,plain,
% 4.65/4.86 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X0,X2,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15969]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2612,plain,
% 4.65/4.86 ( c_SEQ_Odecseq(X0,X1)
% 4.65/4.86 | ~ class_Orderings_Oorder(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk10_2(X1,X0)),hAPP(X1,sk1_esk9_2(X1,X0))) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5916_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15919,plain,
% 4.65/4.86 ( c_SEQ_Odecseq(X0,X1)
% 4.65/4.86 | ~ class_Orderings_Oorder(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk10_2(X1,X0)),hAPP(X1,sk1_esk9_2(X1,X0))) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2612]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15920,plain,
% 4.65/4.86 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk10_2(X1,X0)),hAPP(X1,sk1_esk9_2(X1,X0)))
% 4.65/4.86 | c_SEQ_Odecseq(X0,X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15919]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2608,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5917_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15911,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2608]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15912,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X3,X2)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15911]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2588,plain,
% 4.65/4.86 ( ~ class_Orderings_Olinorder(X0)
% 4.65/4.86 | ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5922_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15871,plain,
% 4.65/4.86 ( ~ class_Orderings_Olinorder(X0)
% 4.65/4.86 | ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2588]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15872,plain,
% 4.65/4.86 ( ~ class_Orderings_Olinorder(X0)
% 4.65/4.86 | ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15871]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2552,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5939_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15799,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2552]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15800,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15799]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2549,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5940_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15793,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2549]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15794,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15793]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2548,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5940_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15791,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2548]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15792,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15791]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2545,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5941_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15785,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2545]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15786,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15785]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2543,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5942_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15781,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2543]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15782,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15781]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2540,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5943_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15775,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2540]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15776,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15775]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2534,plain,
% 4.65/4.86 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.86 | X0 = X2
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5945_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15763,plain,
% 4.65/4.86 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.86 | X0 = X2
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2534]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15764,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)
% 4.65/4.86 | X2 = X1 ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15763]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2532,plain,
% 4.65/4.86 ( X0 = X1
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5945_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15759,plain,
% 4.65/4.86 ( X0 = X1
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2532]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15760,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)
% 4.65/4.86 | X1 = X2 ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15759]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2523,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5948_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15741,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2523]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15742,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15741]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2520,plain,
% 4.65/4.86 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X0)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5949_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15735,plain,
% 4.65/4.86 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X0)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2520]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15736,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),X1))
% 4.65/4.86 | X0 != c_Int_OPls
% 4.65/4.86 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15735]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2517,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5950_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15729,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2517]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15730,plain,
% 4.65/4.86 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15729]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2514,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5951_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15723,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2514]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15724,plain,
% 4.65/4.86 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15723]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2511,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5952_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15717,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2511]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15718,plain,
% 4.65/4.86 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15717]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2508,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5953_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15711,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2508]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15712,plain,
% 4.65/4.86 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15711]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2505,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5954_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15705,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2505]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15706,plain,
% 4.65/4.86 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15705]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2449,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.86 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5976_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15593,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.86 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2449]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15594,plain,
% 4.65/4.86 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15593]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2442,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5978_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15579,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2442]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15580,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15579]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2439,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5979_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15573,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2439]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15574,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15573]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2434,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5981_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15563,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2434]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15564,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15563]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2433,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5981_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15561,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2433]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15562,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15561]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2430,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5982_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15555,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2430]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15556,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15555]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2429,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5982_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15553,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2429]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15554,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15553]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2426,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5983_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15547,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2426]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15548,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15547]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2425,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5983_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15545,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2425]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15546,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15545]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2422,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5984_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15539,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2422]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15540,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15539]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2421,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5984_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15537,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2421]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15538,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15537]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2418,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 4.65/4.86 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5985_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15531,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 4.65/4.86 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2418]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15532,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15531]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2393,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.65/4.86 | ~ 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)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6008_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15481,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.65/4.86 | ~ 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)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2393]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15482,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1),c_Int_OPls)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15481]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2384,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6011_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15463,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2384]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15464,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15463]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2373,plain,
% 4.65/4.86 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) != c_Rings_Oinverse__class_Odivide(X0,X3,X4)
% 4.65/4.86 | ~ class_Fields_Ofield(X0)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X0,X1,X4) = c_Groups_Otimes__class_Otimes(X0,X3,X2)
% 4.65/4.86 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6017_0) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15441,plain,
% 4.65/4.86 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) != c_Rings_Oinverse__class_Odivide(X0,X3,X4)
% 4.65/4.86 | ~ class_Fields_Ofield(X0)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X0,X1,X4) = c_Groups_Otimes__class_Otimes(X0,X3,X2)
% 4.65/4.86 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2373]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15442,plain,
% 4.65/4.86 ( ~ class_Fields_Ofield(X0)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X0,X1,X2) = c_Groups_Otimes__class_Otimes(X0,X3,X4)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) != c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15441]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2369,plain,
% 4.65/4.86 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X1,X3,X2) = c_Groups_Otimes__class_Otimes(X1,X4,X0)
% 4.65/4.86 | ~ class_Fields_Ofield(X1)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) != c_Rings_Oinverse__class_Odivide(X1,X4,X2) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6017_4) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15433,plain,
% 4.65/4.86 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X1,X3,X2) = c_Groups_Otimes__class_Otimes(X1,X4,X0)
% 4.65/4.86 | ~ class_Fields_Ofield(X1)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) != c_Rings_Oinverse__class_Odivide(X1,X4,X2) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2369]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15434,plain,
% 4.65/4.86 ( ~ class_Fields_Ofield(X0)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X0,X1,X2) = c_Groups_Otimes__class_Otimes(X0,X3,X4)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) != c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 4.65/4.86 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15433]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2368,plain,
% 4.65/4.86 ( c_Groups_Otimes__class_Otimes(X0,X1,X2) != c_Groups_Otimes__class_Otimes(X0,X3,X4)
% 4.65/4.86 | ~ class_Fields_Ofield(X0)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) = c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6018_0) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15431,plain,
% 4.65/4.86 ( c_Groups_Otimes__class_Otimes(X0,X1,X2) != c_Groups_Otimes__class_Otimes(X0,X3,X4)
% 4.65/4.86 | ~ class_Fields_Ofield(X0)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) = c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2368]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15432,plain,
% 4.65/4.86 ( ~ class_Fields_Ofield(X0)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X0,X1,X2) != c_Groups_Otimes__class_Otimes(X0,X3,X4)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) = c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15431]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2364,plain,
% 4.65/4.86 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) = c_Rings_Oinverse__class_Odivide(X1,X4,X2)
% 4.65/4.86 | ~ class_Fields_Ofield(X1)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X1,X3,X2) != c_Groups_Otimes__class_Otimes(X1,X4,X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6018_4) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15423,plain,
% 4.65/4.86 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) = c_Rings_Oinverse__class_Odivide(X1,X4,X2)
% 4.65/4.86 | ~ class_Fields_Ofield(X1)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X1,X3,X2) != c_Groups_Otimes__class_Otimes(X1,X4,X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2364]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15424,plain,
% 4.65/4.86 ( ~ class_Fields_Ofield(X0)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X0,X1,X2) != c_Groups_Otimes__class_Otimes(X0,X3,X4)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) = c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 4.65/4.86 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15423]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2361,plain,
% 4.65/4.86 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6019_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15417,plain,
% 4.65/4.86 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2361]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15418,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15417]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2359,plain,
% 4.65/4.86 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6019_4) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15413,plain,
% 4.65/4.86 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2359]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15414,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15413]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2356,plain,
% 4.65/4.86 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6020_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15407,plain,
% 4.65/4.86 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2356]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15408,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15407]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2354,plain,
% 4.65/4.86 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6020_4) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15403,plain,
% 4.65/4.86 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2354]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15404,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15403]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2351,plain,
% 4.65/4.86 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X0,X0),c_Groups_Otimes__class_Otimes(X1,X2,X2)) = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ class_Rings_Olinordered__ring__strict(X1)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6021_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15397,plain,
% 4.65/4.86 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X0,X0),c_Groups_Otimes__class_Otimes(X1,X2,X2)) = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ class_Rings_Olinordered__ring__strict(X1)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2351]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15398,plain,
% 4.65/4.86 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15397]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2350,plain,
% 4.65/4.86 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6021_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15395,plain,
% 4.65/4.86 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2350]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15396,plain,
% 4.65/4.86 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15395]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2346,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.86 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6022_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15387,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.86 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2346]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15388,plain,
% 4.65/4.86 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15387]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2342,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.86 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6023_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15379,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.86 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2342]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15380,plain,
% 4.65/4.86 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15379]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2338,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.65/4.86 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6024_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15371,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.65/4.86 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2338]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15372,plain,
% 4.65/4.86 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15371]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2331,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 4.65/4.86 | ~ class_Orderings_Oord(X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6026_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15357,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 4.65/4.86 | ~ class_Orderings_Oord(X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2331]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15358,plain,
% 4.65/4.86 ( ~ class_Orderings_Oord(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15357]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2330,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 4.65/4.86 | ~ class_Orderings_Oord(X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6026_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15355,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 4.65/4.86 | ~ class_Orderings_Oord(X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2330]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15356,plain,
% 4.65/4.86 ( ~ class_Orderings_Oord(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X3,X2) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15355]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2327,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.65/4.86 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.86 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6027_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15349,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.65/4.86 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.86 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2327]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15350,plain,
% 4.65/4.86 ( ~ class_Int_Onumber__ring(X0)
% 4.65/4.86 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15349]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2322,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6029_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15339,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2322]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15340,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15339]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2314,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.86 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6031_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15323,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.86 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2314]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15324,plain,
% 4.65/4.86 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15323]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2306,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.86 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6033_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15307,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.86 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2306]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15308,plain,
% 4.65/4.86 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15307]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2300,plain,
% 4.65/4.86 ( X0 != X1
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6036_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15295,plain,
% 4.65/4.86 ( X0 != X1
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2300]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15296,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)
% 4.65/4.86 | X2 != X1 ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15295]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2298,plain,
% 4.65/4.86 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.86 | X0 != X2 ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6036_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15291,plain,
% 4.65/4.86 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.86 | X0 != X2 ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2298]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15292,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)
% 4.65/4.86 | X1 != X2 ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15291]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2294,plain,
% 4.65/4.86 ( X0 = X1
% 4.65/4.86 | ~ class_Rings_Olinordered__semidom(X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 4.65/4.86 | c_Power_Opower__class_Opower(X2,X3,X0) != c_Power_Opower__class_Opower(X2,X3,X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6037_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15283,plain,
% 4.65/4.86 ( X0 = X1
% 4.65/4.86 | ~ class_Rings_Olinordered__semidom(X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 4.65/4.86 | c_Power_Opower__class_Opower(X2,X3,X0) != c_Power_Opower__class_Opower(X2,X3,X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2294]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15284,plain,
% 4.65/4.86 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.86 | c_Power_Opower__class_Opower(X0,X1,X2) != c_Power_Opower__class_Opower(X0,X1,X3)
% 4.65/4.86 | X2 = X3 ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15283]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2292,plain,
% 4.65/4.86 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6038_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15279,plain,
% 4.65/4.86 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2292]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15280,plain,
% 4.65/4.86 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.86 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15279]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2285,plain,
% 4.65/4.86 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6040_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15265,plain,
% 4.65/4.86 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2285]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15266,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X0,X2,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15265]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2283,plain,
% 4.65/4.86 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6040_4) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15261,plain,
% 4.65/4.86 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2283]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15262,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15261]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2282,plain,
% 4.65/4.86 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6040_5) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15259,plain,
% 4.65/4.86 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2282]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15260,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15259]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2268,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6045_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15231,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2268]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15232,plain,
% 4.65/4.86 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15231]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2265,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6046_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15225,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2265]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15226,plain,
% 4.65/4.86 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15225]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2262,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6047_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15219,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2262]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15220,plain,
% 4.65/4.86 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15219]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2259,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6048_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15213,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2259]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15214,plain,
% 4.65/4.86 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15213]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2256,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6049_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15207,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 4.65/4.86 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2256]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15208,plain,
% 4.65/4.86 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15207]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2240,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6054_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15175,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2240]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15176,plain,
% 4.65/4.86 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15175]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2236,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6055_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15167,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2236]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15168,plain,
% 4.65/4.86 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0))
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15167]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2228,plain,
% 4.65/4.86 ( ~ class_Orderings_Oord(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6058_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15151,plain,
% 4.65/4.86 ( ~ class_Orderings_Oord(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2228]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15152,plain,
% 4.65/4.86 ( ~ class_Orderings_Oord(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X3,X2) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15151]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2225,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6059_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15145,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2225]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15146,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15145]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2222,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6060_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15139,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2222]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15140,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15139]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2217,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6063_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15129,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2217]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15130,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Nat__Transfer_Otsub(X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15129]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2216,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6063_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15127,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2216]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15128,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Nat__Transfer_Otsub(X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15127]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2212,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6065_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15119,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2212]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15120,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15119]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2208,plain,
% 4.65/4.86 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 4.65/4.86 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6067_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15111,plain,
% 4.65/4.86 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 4.65/4.86 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2208]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15112,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.65/4.86 | X0 = c_Int_OPls
% 4.65/4.86 | X0 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15111]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2205,plain,
% 4.65/4.86 ( c_NthRoot_Osqrt(X0) = X1
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.65/4.86 | c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != X0 ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6068_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15105,plain,
% 4.65/4.86 ( c_NthRoot_Osqrt(X0) = X1
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.65/4.86 | c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != X0 ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2205]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15106,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.65/4.86 | c_NthRoot_Osqrt(X1) = X0
% 4.65/4.86 | c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != X1 ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15105]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2195,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6074_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15085,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2195]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15086,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Power_Opower__class_Opower(tc_Int_Oint,X0,X1))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15085]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2174,plain,
% 4.65/4.86 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.86 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | 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,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6086_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15043,plain,
% 4.65/4.86 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.86 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | 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,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2174]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15044,plain,
% 4.65/4.86 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.86 | 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,c_Groups_Otimes__class_Otimes(X0,X2,X1))
% 4.65/4.86 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15043]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2169,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6087_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15033,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2169]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15034,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
% 4.65/4.86 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15033]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2163,plain,
% 4.65/4.86 ( 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))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6090_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15021,plain,
% 4.65/4.86 ( 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))
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2163]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15022,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1),c_Int_OPls)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15021]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2158,plain,
% 4.65/4.86 ( X0 = c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,X3))
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X1,X3) = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ class_Int_Onumber(X1)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X1,X0,c_Int_Onumber__class_Onumber__of(X1,X3)) != X2 ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6091_4) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15011,plain,
% 4.65/4.86 ( X0 = c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,X3))
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X1,X3) = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ class_Int_Onumber(X1)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X1,X0,c_Int_Onumber__class_Onumber__of(X1,X3)) != X2 ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2158]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15012,plain,
% 4.65/4.86 ( ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)) != X3
% 4.65/4.86 | X2 = c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15011]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2153,plain,
% 4.65/4.86 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)) = X3
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | X1 != c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6092_4) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15001,plain,
% 4.65/4.86 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)) = X3
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | X1 != c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2153]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_15002,plain,
% 4.65/4.86 ( ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)) = X3
% 4.65/4.86 | X2 != c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_15001]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2148,plain,
% 4.65/4.86 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)) = X3
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6093_4) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14991,plain,
% 4.65/4.86 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)) = X3
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2148]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14992,plain,
% 4.65/4.86 ( ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)) = X3
% 4.65/4.86 | X2 != c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14991]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2143,plain,
% 4.65/4.86 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,X3))
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X1,X3) = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ class_Int_Onumber(X1)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,X3)) != X2 ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6094_4) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14981,plain,
% 4.65/4.86 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,X3))
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X1,X3) = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.86 | ~ class_Int_Onumber(X1)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,X3)) != X2 ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2143]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14982,plain,
% 4.65/4.86 ( ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)) != X3
% 4.65/4.86 | X2 = c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14981]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2107,plain,
% 4.65/4.86 ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.86 | ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6110_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14909,plain,
% 4.65/4.86 ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.65/4.86 | ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2107]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14910,plain,
% 4.65/4.86 ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14909]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2102,plain,
% 4.65/4.86 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = c_Int_Onumber__class_Onumber__of(X0,X3)
% 4.65/4.86 | ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | X1 != c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2)
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X3) != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6111_4) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14899,plain,
% 4.65/4.86 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = c_Int_Onumber__class_Onumber__of(X0,X3)
% 4.65/4.86 | ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | X1 != c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2)
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X3) != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2102]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14900,plain,
% 4.65/4.86 ( ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X0,X2,X3) = c_Int_Onumber__class_Onumber__of(X0,X1)
% 4.65/4.86 | X2 != c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14899]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2097,plain,
% 4.65/4.86 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.65/4.86 | ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3) != X2
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6112_4) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14889,plain,
% 4.65/4.86 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.65/4.86 | ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3) != X2
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2097]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14890,plain,
% 4.65/4.86 ( ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | c_Int_Onumber__class_Onumber__of(X0,X1) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3) != X2 ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14889]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2080,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.65/4.86 | ~ class_Rings_Olinordered__idom(X2)
% 4.65/4.86 | ~ class_Int_Onumber__ring(X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X2,c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X2,X1)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6118_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14855,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.65/4.86 | ~ class_Rings_Olinordered__idom(X2)
% 4.65/4.86 | ~ class_Int_Onumber__ring(X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X2,c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X2,X1)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2080]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14856,plain,
% 4.65/4.86 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.86 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14855]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2076,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.65/4.86 | ~ class_Rings_Olinordered__idom(X2)
% 4.65/4.86 | ~ class_Int_Onumber__ring(X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X2,X1)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6119_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14847,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.65/4.86 | ~ class_Rings_Olinordered__idom(X2)
% 4.65/4.86 | ~ class_Int_Onumber__ring(X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X2,X1)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2076]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14848,plain,
% 4.65/4.86 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.86 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14847]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2074,plain,
% 4.65/4.86 ( ~ class_Orderings_Opreorder(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6120_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14843,plain,
% 4.65/4.86 ( ~ class_Orderings_Opreorder(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2074]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14844,plain,
% 4.65/4.86 ( ~ class_Orderings_Opreorder(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14843]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2072,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.86 | ~ class_Orderings_Opreorder(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6120_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14839,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.86 | ~ class_Orderings_Opreorder(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2072]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14840,plain,
% 4.65/4.86 ( ~ class_Orderings_Opreorder(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14839]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2070,plain,
% 4.65/4.86 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6121_1) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14835,plain,
% 4.65/4.86 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2070]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14836,plain,
% 4.65/4.86 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14835]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2068,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.65/4.86 | ~ class_Orderings_Oorder(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6121_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14831,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.65/4.86 | ~ class_Orderings_Oorder(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2068]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14832,plain,
% 4.65/4.86 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14831]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2027,plain,
% 4.65/4.86 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)) = X3
% 4.65/4.86 | ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | X1 != c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.86 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6134_4) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14749,plain,
% 4.65/4.86 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)) = X3
% 4.65/4.86 | ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | X1 != c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.86 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2027]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14750,plain,
% 4.65/4.86 ( ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)) = X3
% 4.65/4.86 | X3 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X1 != c_Groups_Otimes__class_Otimes(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14749]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2022,plain,
% 4.65/4.86 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,X3))
% 4.65/4.86 | ~ class_Int_Onumber(X1)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,X3)) != X2
% 4.65/4.86 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6135_4) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14739,plain,
% 4.65/4.86 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,X3))
% 4.65/4.86 | ~ class_Int_Onumber(X1)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,X3)) != X2
% 4.65/4.86 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2022]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14740,plain,
% 4.65/4.86 ( ~ class_Int_Onumber(X0)
% 4.65/4.86 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.86 | c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)) != X3
% 4.65/4.86 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.86 | X1 = c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14739]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2009,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6141_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14713,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2009]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14714,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14713]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2006,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6142_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14707,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.86 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2006]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14708,plain,
% 4.65/4.86 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14707]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_2000,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.86 | ~ class_Orderings_Olinorder(X0)
% 4.65/4.86 | ~ class_Int_Onumber(X0) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6144_3) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14695,plain,
% 4.65/4.86 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.86 | ~ class_Orderings_Olinorder(X0)
% 4.65/4.86 | ~ class_Int_Onumber(X0) ),
% 4.65/4.86 inference(copy,[status(esa)],[c_2000]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14696,plain,
% 4.65/4.86 ( ~ class_Orderings_Olinorder(X0)
% 4.65/4.86 | ~ class_Int_Onumber(X0)
% 4.65/4.86 | c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.86 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X2),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14695]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_1993,plain,
% 4.65/4.86 ( X0 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != X1 ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6147_2) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14681,plain,
% 4.65/4.86 ( X0 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != X1 ),
% 4.65/4.86 inference(copy,[status(esa)],[c_1993]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_14682,plain,
% 4.65/4.86 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.86 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != X2
% 4.65/4.86 | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) ),
% 4.65/4.86 inference(rewriting,[status(thm)],[c_14681]) ).
% 4.65/4.86
% 4.65/4.86 cnf(c_1990,plain,
% 4.65/4.86 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = X2
% 4.65/4.86 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.65/4.86 | X0 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 4.65/4.86 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6148_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14675,plain,
% 4.65/4.87 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = X2
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.65/4.87 | X0 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1990]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14676,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) = X2
% 4.65/4.87 | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14675]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1975,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 4.65/4.87 | ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 4.65/4.87 | ~ c_SEQ_Odecseq(X0,X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6153_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14645,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 4.65/4.87 | ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 4.65/4.87 | ~ c_SEQ_Odecseq(X0,X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1975]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14646,plain,
% 4.65/4.87 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X3,X2),hAPP(X3,X1))
% 4.65/4.87 | ~ c_SEQ_Odecseq(X0,X3) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14645]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1966,plain,
% 4.65/4.87 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = c_Int_Onumber__class_Onumber__of(X0,X3)
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | X1 != c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6157_4) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14627,plain,
% 4.65/4.87 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = c_Int_Onumber__class_Onumber__of(X0,X3)
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | X1 != c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1966]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14628,plain,
% 4.65/4.87 ( ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = c_Int_Onumber__class_Onumber__of(X0,X3)
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X1 != c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14627]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1961,plain,
% 4.65/4.87 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.65/4.87 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3) != X2 ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6158_4) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14617,plain,
% 4.65/4.87 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.65/4.87 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3) != X2 ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1961]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14618,plain,
% 4.65/4.87 ( ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3) != X2
% 4.65/4.87 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14617]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1959,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(X0)))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6159_1) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14613,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(X0)))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1959]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14614,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(X0)))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14613]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1957,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(X0)))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6160_1) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14609,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(X0)))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1957]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14610,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(X0)))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14609]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1953,plain,
% 4.65/4.87 ( c_Power_Opower__class_Opower(X0,X1,X2) = c_Power_Opower__class_Opower(X0,X1,X3)
% 4.65/4.87 | ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.87 | X2 != X3 ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6161_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14601,plain,
% 4.65/4.87 ( c_Power_Opower__class_Opower(X0,X1,X2) = c_Power_Opower__class_Opower(X0,X1,X3)
% 4.65/4.87 | ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.87 | X2 != X3 ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1953]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14602,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.87 | c_Power_Opower__class_Opower(X0,X1,X2) = c_Power_Opower__class_Opower(X0,X1,X3)
% 4.65/4.87 | X2 != X3 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14601]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1948,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1)
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6163_1) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14591,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1)
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1948]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14592,plain,
% 4.65/4.87 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14591]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1947,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6163_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14589,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1947]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14590,plain,
% 4.65/4.87 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14589]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1942,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6165_1) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14579,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1942]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14580,plain,
% 4.65/4.87 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14579]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1941,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6165_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14577,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1941]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14578,plain,
% 4.65/4.87 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14577]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1936,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1)
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6167_1) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14567,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1)
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1936]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14568,plain,
% 4.65/4.87 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14567]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1935,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6167_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14565,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1935]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14566,plain,
% 4.65/4.87 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14565]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1930,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6169_1) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14555,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1930]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14556,plain,
% 4.65/4.87 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14555]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1929,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6169_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14553,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1929]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14554,plain,
% 4.65/4.87 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14553]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1926,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 4.65/4.87 | ~ class_Orderings_Oord(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6173_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14547,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 4.65/4.87 | ~ class_Orderings_Oord(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1926]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14548,plain,
% 4.65/4.87 ( ~ class_Orderings_Oord(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14547]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1921,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),X1))
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6176_1) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14537,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),X1))
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1921]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14538,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),X1))
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14537]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1909,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),X1))
% 4.65/4.87 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6180_1) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14513,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),X1))
% 4.65/4.87 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1909]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14514,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),X1))
% 4.65/4.87 | X0 = c_Int_OPls ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14513]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1904,plain,
% 4.65/4.87 ( X0 = c_Groups_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X1,X2),X3)
% 4.65/4.87 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Int_Onumber(X1)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X1,X0,X3) != c_Int_Onumber__class_Onumber__of(X1,X2) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6181_4) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14503,plain,
% 4.65/4.87 ( X0 = c_Groups_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X1,X2),X3)
% 4.65/4.87 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Int_Onumber(X1)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X1,X0,X3) != c_Int_Onumber__class_Onumber__of(X1,X2) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1904]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14504,plain,
% 4.65/4.87 ( ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != c_Int_Onumber__class_Onumber__of(X0,X3)
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X1 = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X3),X2) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14503]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1899,plain,
% 4.65/4.87 ( c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2) = X3
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6182_4) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14493,plain,
% 4.65/4.87 ( c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X2) = X3
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1899]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14494,plain,
% 4.65/4.87 ( ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),X3) = X2
% 4.65/4.87 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14493]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1865,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OBit1(c_Int_OPls))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(X1,X0),c_Groups_Oone__class_Oone(X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6198_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14425,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OBit1(c_Int_OPls))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(X1,X0),c_Groups_Oone__class_Oone(X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1865]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14426,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OBit1(c_Int_OPls))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14425]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1861,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X0)
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X0)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6199_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14417,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X0)
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X0)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1861]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14418,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14417]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1857,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OBit1(c_Int_OPls))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Int_Onumber__class_Onumber__of(X1,X0),c_Groups_Oone__class_Oone(X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6200_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14409,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OBit1(c_Int_OPls))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Int_Onumber__class_Onumber__of(X1,X0),c_Groups_Oone__class_Oone(X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1857]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14410,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OBit1(c_Int_OPls))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14409]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1853,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X0)
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X0)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6201_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14401,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X0)
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X0)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1853]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14402,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14401]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1847,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6204_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14389,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1847]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14390,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14389]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1843,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6205_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14381,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1843]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14382,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14381]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1840,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6206_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14375,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1840]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14376,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14375]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1837,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6207_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14369,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1837]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14370,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14369]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1834,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6208_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14363,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1834]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14364,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14363]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1831,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6209_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14357,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1831]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14358,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14357]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1828,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6210_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14351,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1828]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14352,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14351]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1825,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6211_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14345,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1825]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14346,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14345]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1822,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6212_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14339,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1822]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14340,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14339]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1819,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6213_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14333,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1819]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14334,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14333]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1816,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.87 | ~ class_Orderings_Opreorder(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6214_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14327,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.87 | ~ class_Orderings_Opreorder(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1816]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14328,plain,
% 4.65/4.87 ( ~ class_Orderings_Opreorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14327]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1815,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.87 | ~ class_Orderings_Opreorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6214_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14325,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.87 | ~ class_Orderings_Opreorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1815]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14326,plain,
% 4.65/4.87 ( ~ class_Orderings_Opreorder(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14325]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1811,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X1,X0)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6215_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14317,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X1,X0)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1811]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14318,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14317]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1807,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(X1,X0),c_Groups_Ozero__class_Ozero(X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6216_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14309,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(X1,X0),c_Groups_Ozero__class_Ozero(X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1807]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14310,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14309]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1803,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0)
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X1,X0)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6217_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14301,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0)
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X1,X0)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1803]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14302,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14301]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1799,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls)
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Int_Onumber__class_Onumber__of(X1,X0),c_Groups_Ozero__class_Ozero(X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6218_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14293,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls)
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X1)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Int_Onumber__class_Onumber__of(X1,X0),c_Groups_Ozero__class_Ozero(X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1799]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14294,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14293]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1796,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6219_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14287,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1796]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14288,plain,
% 4.65/4.87 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14287]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1777,plain,
% 4.65/4.87 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 4.65/4.87 | X0 = X2
% 4.65/4.87 | ~ class_Rings_Oidom(X1)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X1,X0,X0) != c_Groups_Otimes__class_Otimes(X1,X2,X2) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6226_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14249,plain,
% 4.65/4.87 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 4.65/4.87 | X0 = X2
% 4.65/4.87 | ~ class_Rings_Oidom(X1)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X1,X0,X0) != c_Groups_Otimes__class_Otimes(X1,X2,X2) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1777]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14250,plain,
% 4.65/4.87 ( ~ class_Rings_Oidom(X0)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X0,X1,X1) != c_Groups_Otimes__class_Otimes(X0,X2,X2)
% 4.65/4.87 | X1 = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 4.65/4.87 | X1 = X2 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14249]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1770,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 4.65/4.87 | X1 = X0
% 4.65/4.87 | hBOOL(hAPP(hAPP(X2,X0),X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6229_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14235,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 4.65/4.87 | X1 = X0
% 4.65/4.87 | hBOOL(hAPP(hAPP(X2,X0),X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1770]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14236,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 4.65/4.87 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 4.65/4.87 | X1 = X0 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14235]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1769,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.87 | X0 = X1
% 4.65/4.87 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 4.65/4.87 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6229_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14233,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.87 | X0 = X1
% 4.65/4.87 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 4.65/4.87 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1769]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14234,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 4.65/4.87 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 4.65/4.87 | X0 = X1 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14233]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1766,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6230_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14227,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1766]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14228,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14227]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1763,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6231_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14221,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1763]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14222,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14221]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1760,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6232_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14215,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1760]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14216,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14215]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1757,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6233_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14209,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1757]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14210,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14209]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1754,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6234_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14203,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1754]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14204,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14203]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1751,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6235_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14197,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1751]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14198,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14197]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1742,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6238_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14179,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1742]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14180,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14179]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1739,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6239_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14173,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1739]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14174,plain,
% 4.65/4.87 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14173]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1735,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OBit1(c_Int_OPls)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6240_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14165,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OBit1(c_Int_OPls)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1735]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14166,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OBit1(c_Int_OPls))
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14165]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1731,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6241_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14157,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1731]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14158,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X1)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14157]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1727,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OBit1(c_Int_OPls)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6242_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14149,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oone__class_Oone(X0))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OBit1(c_Int_OPls)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1727]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14150,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OBit1(c_Int_OPls))
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14149]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1723,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6243_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14141,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1723]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14142,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X1)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14141]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1717,plain,
% 4.65/4.87 ( X0 != X1
% 4.65/4.87 | X2 = X3
% 4.65/4.87 | ~ class_Groups_Oab__group__add(X4)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(X4,X0,X1) != c_Groups_Ominus__class_Ominus(X4,X2,X3) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6245_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14129,plain,
% 4.65/4.87 ( X0 != X1
% 4.65/4.87 | X2 = X3
% 4.65/4.87 | ~ class_Groups_Oab__group__add(X4)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(X4,X0,X1) != c_Groups_Ominus__class_Ominus(X4,X2,X3) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1717]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14130,plain,
% 4.65/4.87 ( ~ class_Groups_Oab__group__add(X0)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 4.65/4.87 | X1 != X2
% 4.65/4.87 | X3 = X4 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14129]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1716,plain,
% 4.65/4.87 ( X0 = X1
% 4.65/4.87 | ~ class_Groups_Oab__group__add(X2)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(X2,X3,X4) != c_Groups_Ominus__class_Ominus(X2,X0,X1)
% 4.65/4.87 | X3 != X4 ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6245_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14127,plain,
% 4.65/4.87 ( X0 = X1
% 4.65/4.87 | ~ class_Groups_Oab__group__add(X2)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(X2,X3,X4) != c_Groups_Ominus__class_Ominus(X2,X0,X1)
% 4.65/4.87 | X3 != X4 ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1716]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14128,plain,
% 4.65/4.87 ( ~ class_Groups_Oab__group__add(X0)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 4.65/4.87 | X3 = X4
% 4.65/4.87 | X1 != X2 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14127]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1713,plain,
% 4.65/4.87 ( X0 != X1
% 4.65/4.87 | X2 = X3
% 4.65/4.87 | ~ class_Groups_Oab__group__add(X4)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(X4,X2,X3) != c_Groups_Ominus__class_Ominus(X4,X0,X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6246_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14121,plain,
% 4.65/4.87 ( X0 != X1
% 4.65/4.87 | X2 = X3
% 4.65/4.87 | ~ class_Groups_Oab__group__add(X4)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(X4,X2,X3) != c_Groups_Ominus__class_Ominus(X4,X0,X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1713]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14122,plain,
% 4.65/4.87 ( ~ class_Groups_Oab__group__add(X0)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 4.65/4.87 | X3 != X4
% 4.65/4.87 | X1 = X2 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14121]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1712,plain,
% 4.65/4.87 ( X0 = X1
% 4.65/4.87 | ~ class_Groups_Oab__group__add(X2)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ominus__class_Ominus(X2,X3,X4)
% 4.65/4.87 | X3 != X4 ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6246_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14119,plain,
% 4.65/4.87 ( X0 = X1
% 4.65/4.87 | ~ class_Groups_Oab__group__add(X2)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ominus__class_Ominus(X2,X3,X4)
% 4.65/4.87 | X3 != X4 ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1712]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14120,plain,
% 4.65/4.87 ( ~ class_Groups_Oab__group__add(X0)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 4.65/4.87 | X1 = X2
% 4.65/4.87 | X3 != X4 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14119]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1698,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6251_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14091,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1698]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14092,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14091]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1694,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6252_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14083,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1694]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14084,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14083]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1690,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6253_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14075,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1690]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14076,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14075]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1686,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6254_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14067,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1686]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14068,plain,
% 4.65/4.87 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.87 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14067]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1658,plain,
% 4.65/4.87 ( ~ class_Rings_Ozero__neq__one(X0)
% 4.65/4.87 | ~ class_Rings_Ono__zero__divisors(X0)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X0)
% 4.65/4.87 | ~ class_Power_Opower(X0)
% 4.65/4.87 | c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2)) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6262_5) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14011,plain,
% 4.65/4.87 ( ~ class_Rings_Ozero__neq__one(X0)
% 4.65/4.87 | ~ class_Rings_Ono__zero__divisors(X0)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X0)
% 4.65/4.87 | ~ class_Power_Opower(X0)
% 4.65/4.87 | c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2)) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1658]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_14012,plain,
% 4.65/4.87 ( ~ class_Rings_Ono__zero__divisors(X0)
% 4.65/4.87 | ~ class_Rings_Ozero__neq__one(X0)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X0)
% 4.65/4.87 | ~ class_Power_Opower(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.87 | c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_14011]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1632,plain,
% 4.65/4.87 ( ~ class_Orderings_Opreorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6271_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13959,plain,
% 4.65/4.87 ( ~ class_Orderings_Opreorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1632]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13960,plain,
% 4.65/4.87 ( ~ class_Orderings_Opreorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13959]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1608,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Rings_Oring__1__no__zero__divisors(X1)
% 4.65/4.87 | c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6279_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13911,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Rings_Oring__1__no__zero__divisors(X1)
% 4.65/4.87 | c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1608]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13912,plain,
% 4.65/4.87 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 4.65/4.87 | c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13911]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1605,plain,
% 4.65/4.87 ( X0 = X1
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6280_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13905,plain,
% 4.65/4.87 ( X0 = X1
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1605]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13906,plain,
% 4.65/4.87 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.87 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.87 | X1 = X0 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13905]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1600,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Int_Onumber(X1)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,X3)) != X0
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X1,X3) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6281_4) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13895,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Int_Onumber(X1)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,X3)) != X0
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X1,X3) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1600]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13896,plain,
% 4.65/4.87 ( ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)) != X3
% 4.65/4.87 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13895]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1595,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Int_Onumber(X1)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.87 | X0 != c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,X3))
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X1,X3) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6282_4) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13885,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Int_Onumber(X1)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.87 | X0 != c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,X3))
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X1,X3) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1595]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13886,plain,
% 4.65/4.87 ( ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X2 != c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13885]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1576,plain,
% 4.65/4.87 ( X0 = X1
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6301_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13847,plain,
% 4.65/4.87 ( X0 = X1
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1576]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13848,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.65/4.87 | X1 = X0 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13847]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1573,plain,
% 4.65/4.87 ( X0 = X1
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6302_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13841,plain,
% 4.65/4.87 ( X0 = X1
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1573]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13842,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
% 4.65/4.87 | X1 = X0 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13841]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1570,plain,
% 4.65/4.87 ( X0 = X1
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6303_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13835,plain,
% 4.65/4.87 ( X0 = X1
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1570]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13836,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 4.65/4.87 | X1 = X0 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13835]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1528,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Rings_Ozero__neq__one(X1)
% 4.65/4.87 | ~ class_Rings_Ono__zero__divisors(X1)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X1)
% 4.65/4.87 | ~ class_Power_Opower(X1)
% 4.65/4.87 | c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2)) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6326_5) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13751,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Rings_Ozero__neq__one(X1)
% 4.65/4.87 | ~ class_Rings_Ono__zero__divisors(X1)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X1)
% 4.65/4.87 | ~ class_Power_Opower(X1)
% 4.65/4.87 | c_Power_Opower__class_Opower(X1,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2)) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1528]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13752,plain,
% 4.65/4.87 ( ~ class_Rings_Ono__zero__divisors(X0)
% 4.65/4.87 | ~ class_Rings_Ozero__neq__one(X0)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X0)
% 4.65/4.87 | ~ class_Power_Opower(X0)
% 4.65/4.87 | c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2)) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13751]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1522,plain,
% 4.65/4.87 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X1,X0,X3) != X2
% 4.65/4.87 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6329_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13739,plain,
% 4.65/4.87 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X1,X0,X3) != X2
% 4.65/4.87 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1522]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13740,plain,
% 4.65/4.87 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X0,X1,X2) != X3
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X1 = c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13739]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1518,plain,
% 4.65/4.87 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | X1 != c_Groups_Otimes__class_Otimes(X0,X3,X2)
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6330_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13731,plain,
% 4.65/4.87 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | X1 != c_Groups_Otimes__class_Otimes(X0,X3,X2)
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1518]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13732,plain,
% 4.65/4.87 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X1 != c_Groups_Otimes__class_Otimes(X0,X3,X2) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13731]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1478,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X1,X2,X0) = X3
% 4.65/4.87 | ~ class_Rings_Odivision__ring(X1)
% 4.65/4.87 | X2 != c_Rings_Oinverse__class_Odivide(X1,X3,X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6358_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13651,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X1,X2,X0) = X3
% 4.65/4.87 | ~ class_Rings_Odivision__ring(X1)
% 4.65/4.87 | X2 != c_Rings_Oinverse__class_Odivide(X1,X3,X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1478]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13652,plain,
% 4.65/4.87 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X0,X1,X2) = X3
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13651]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1470,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | X2 = c_Groups_Otimes__class_Otimes(X1,X3,X0)
% 4.65/4.87 | ~ class_Rings_Odivision__ring(X1)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != X3 ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6360_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13635,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | X2 = c_Groups_Otimes__class_Otimes(X1,X3,X0)
% 4.65/4.87 | ~ class_Rings_Odivision__ring(X1)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != X3 ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1470]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13636,plain,
% 4.65/4.87 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != X3
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X1 = c_Groups_Otimes__class_Otimes(X0,X3,X2) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13635]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1454,plain,
% 4.65/4.87 ( c_Groups_Otimes__class_Otimes(X0,X1,X2) = X3
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6364_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13603,plain,
% 4.65/4.87 ( c_Groups_Otimes__class_Otimes(X0,X1,X2) = X3
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1454]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13604,plain,
% 4.65/4.87 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X0,X1,X2) = X3
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13603]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1450,plain,
% 4.65/4.87 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 4.65/4.87 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X1,X0,X3) != X2 ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6365_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13595,plain,
% 4.65/4.87 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 4.65/4.87 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X1,X0,X3) != X2 ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1450]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13596,plain,
% 4.65/4.87 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X0,X1,X2) != X3
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X1 = c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13595]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1446,plain,
% 4.65/4.87 ( X0 = c_Groups_Otimes__class_Otimes(X1,X2,X3)
% 4.65/4.87 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X1,X0,X3) != X2 ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6366_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13587,plain,
% 4.65/4.87 ( X0 = c_Groups_Otimes__class_Otimes(X1,X2,X3)
% 4.65/4.87 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X1,X0,X3) != X2 ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1446]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13588,plain,
% 4.65/4.87 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != X3
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X1 = c_Groups_Otimes__class_Otimes(X0,X3,X2) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13587]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1442,plain,
% 4.65/4.87 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | X1 != c_Groups_Otimes__class_Otimes(X0,X3,X2) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6367_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13579,plain,
% 4.65/4.87 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | X1 != c_Groups_Otimes__class_Otimes(X0,X3,X2) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1442]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13580,plain,
% 4.65/4.87 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 4.65/4.87 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X1 != c_Groups_Otimes__class_Otimes(X0,X3,X2) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13579]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1419,plain,
% 4.65/4.87 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6378_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13533,plain,
% 4.65/4.87 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1419]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13534,plain,
% 4.65/4.87 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13533]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1417,plain,
% 4.65/4.87 ( X0 != X1
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X2,X1,X0)
% 4.65/4.87 | ~ class_Orderings_Olinorder(X2) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6379_1) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13529,plain,
% 4.65/4.87 ( X0 != X1
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X2,X1,X0)
% 4.65/4.87 | ~ class_Orderings_Olinorder(X2) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1417]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13530,plain,
% 4.65/4.87 ( ~ class_Orderings_Olinorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.65/4.87 | X1 != X2 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13529]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1415,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | ~ class_Orderings_Olinorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.65/4.87 | X2 != X1 ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6379_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13525,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | ~ class_Orderings_Olinorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.65/4.87 | X2 != X1 ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1415]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13526,plain,
% 4.65/4.87 ( ~ class_Orderings_Olinorder(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.65/4.87 | X2 != X1 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13525]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1414,plain,
% 4.65/4.87 ( ~ class_Orderings_Oord(X0)
% 4.65/4.87 | X1 != X2
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6380_0) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13523,plain,
% 4.65/4.87 ( ~ class_Orderings_Oord(X0)
% 4.65/4.87 | X1 != X2
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1414]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13524,plain,
% 4.65/4.87 ( ~ class_Orderings_Oord(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.65/4.87 | X3 != X1 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13523]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1410,plain,
% 4.65/4.87 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | X1 != X2
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6381_0) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13515,plain,
% 4.65/4.87 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | X1 != X2
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1410]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13516,plain,
% 4.65/4.87 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.87 | X3 != X2 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13515]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1403,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | X3 != X2
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.87 | ~ class_Orderings_Oord(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6382_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13501,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | X3 != X2
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.87 | ~ class_Orderings_Oord(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1403]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13502,plain,
% 4.65/4.87 ( ~ class_Orderings_Oord(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.65/4.87 | X3 != X2 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13501]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1399,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | X3 != X1
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.65/4.87 | ~ class_Orderings_Oorder(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6383_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13493,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | X3 != X1
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.65/4.87 | ~ class_Orderings_Oorder(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1399]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13494,plain,
% 4.65/4.87 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.65/4.87 | X3 != X1 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13493]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1397,plain,
% 4.65/4.87 ( X0 != X1
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
% 4.65/4.87 | ~ class_Orderings_Oorder(X2) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6384_1) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13489,plain,
% 4.65/4.87 ( X0 != X1
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
% 4.65/4.87 | ~ class_Orderings_Oorder(X2) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1397]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13490,plain,
% 4.65/4.87 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.87 | X2 != X1 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13489]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1395,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.87 | X1 != X2 ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6384_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13485,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.87 | X1 != X2 ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1395]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13486,plain,
% 4.65/4.87 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.65/4.87 | X1 != X2 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13485]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1394,plain,
% 4.65/4.87 ( ~ class_Orderings_Oord(X0)
% 4.65/4.87 | X1 != X2
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6385_0) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13483,plain,
% 4.65/4.87 ( ~ class_Orderings_Oord(X0)
% 4.65/4.87 | X1 != X2
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1394]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13484,plain,
% 4.65/4.87 ( ~ class_Orderings_Oord(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.65/4.87 | X3 != X1 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13483]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1390,plain,
% 4.65/4.87 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | X1 != X2
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6386_0) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13475,plain,
% 4.65/4.87 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | X1 != X2
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1390]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13476,plain,
% 4.65/4.87 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.87 | X3 != X2 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13475]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1383,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | X3 != X2
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.87 | ~ class_Orderings_Oord(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6387_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13461,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | X3 != X2
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.87 | ~ class_Orderings_Oord(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1383]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13462,plain,
% 4.65/4.87 ( ~ class_Orderings_Oord(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.87 | X3 != X2 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13461]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1379,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | X3 != X1
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.65/4.87 | ~ class_Orderings_Oorder(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6388_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13453,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | X3 != X1
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.65/4.87 | ~ class_Orderings_Oorder(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1379]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13454,plain,
% 4.65/4.87 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.65/4.87 | X3 != X1 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13453]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1325,plain,
% 4.65/4.87 ( X0 = X1
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X2,X0,X1)
% 4.65/4.87 | ~ class_Orderings_Olinorder(X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6409_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13345,plain,
% 4.65/4.87 ( X0 = X1
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X2,X0,X1)
% 4.65/4.87 | ~ class_Orderings_Olinorder(X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1325]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13346,plain,
% 4.65/4.87 ( ~ class_Orderings_Olinorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | X1 = X2 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13345]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1266,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X0),c_Groups_Ozero__class_Ozero(X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6435_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13227,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X0),c_Groups_Ozero__class_Ozero(X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1266]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13228,plain,
% 4.65/4.87 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.87 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13227]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1261,plain,
% 4.65/4.87 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X0,X2,X3) != c_Int_Onumber__class_Onumber__of(X0,X1)
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6436_4) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13217,plain,
% 4.65/4.87 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X0,X2,X3) != c_Int_Onumber__class_Onumber__of(X0,X1)
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1261]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13218,plain,
% 4.65/4.87 ( ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X0,X2,X3) != c_Int_Onumber__class_Onumber__of(X0,X1)
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13217]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1256,plain,
% 4.65/4.87 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6437_4) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13207,plain,
% 4.65/4.87 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1256]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13208,plain,
% 4.65/4.87 ( ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13207]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1247,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6440_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13189,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1247]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13190,plain,
% 4.65/4.87 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13189]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1242,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6442_1) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13179,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1242]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13180,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13179]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1240,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6443_1) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13175,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1240]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13176,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13175]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1237,plain,
% 4.65/4.87 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6444_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13169,plain,
% 4.65/4.87 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1237]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13170,plain,
% 4.65/4.87 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13169]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1202,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_RealVector_Oreal__normed__vector(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6458_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13099,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_RealVector_Oreal__normed__vector(X1)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1202]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13100,plain,
% 4.65/4.87 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.65/4.87 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13099]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1194,plain,
% 4.65/4.87 ( c_Groups_Otimes__class_Otimes(X0,X1,X1) = c_Groups_Otimes__class_Otimes(X0,X2,X2)
% 4.65/4.87 | ~ class_Rings_Oidom(X0)
% 4.65/4.87 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6461_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13083,plain,
% 4.65/4.87 ( c_Groups_Otimes__class_Otimes(X0,X1,X1) = c_Groups_Otimes__class_Otimes(X0,X2,X2)
% 4.65/4.87 | ~ class_Rings_Oidom(X0)
% 4.65/4.87 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1194]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_13084,plain,
% 4.65/4.87 ( ~ class_Rings_Oidom(X0)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X0,X1,X1) = c_Groups_Otimes__class_Otimes(X0,X2,X2)
% 4.65/4.87 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_13083]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1127,plain,
% 4.65/4.87 ( c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2)) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.87 | ~ class_Rings_Ozero__neq__one(X0)
% 4.65/4.87 | ~ class_Rings_Ono__zero__divisors(X0)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X0)
% 4.65/4.87 | ~ class_Power_Opower(X0)
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6489_6) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12949,plain,
% 4.65/4.87 ( c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2)) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.87 | ~ class_Rings_Ozero__neq__one(X0)
% 4.65/4.87 | ~ class_Rings_Ono__zero__divisors(X0)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X0)
% 4.65/4.87 | ~ class_Power_Opower(X0)
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1127]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12950,plain,
% 4.65/4.87 ( ~ class_Rings_Ono__zero__divisors(X0)
% 4.65/4.87 | ~ class_Rings_Ozero__neq__one(X0)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X0)
% 4.65/4.87 | ~ class_Power_Opower(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.87 | c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_12949]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1122,plain,
% 4.65/4.87 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)) = X3
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6490_4) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12939,plain,
% 4.65/4.87 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,X2)) = X3
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1122]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12940,plain,
% 4.65/4.87 ( ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X0,X2,c_Int_Onumber__class_Onumber__of(X0,X1)) = X3
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_12939]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1117,plain,
% 4.65/4.87 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,X3))
% 4.65/4.87 | ~ class_Int_Onumber(X1)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X1,X3) != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6491_4) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12929,plain,
% 4.65/4.87 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,X3))
% 4.65/4.87 | ~ class_Int_Onumber(X1)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X1,X3) != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1117]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12930,plain,
% 4.65/4.87 ( ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X2 = c_Rings_Oinverse__class_Odivide(X0,X3,c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_12929]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1115,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6493_1) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12925,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 4.65/4.87 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1115]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12926,plain,
% 4.65/4.87 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 4.65/4.87 | X0 = c_Int_OPls ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_12925]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1107,plain,
% 4.65/4.87 ( ~ class_Rings_Ozero__neq__one(X0)
% 4.65/4.87 | ~ class_Rings_Ono__zero__divisors(X0)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X0)
% 4.65/4.87 | ~ class_Power_Opower(X0)
% 4.65/4.87 | c_Power_Opower__class_Opower(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6495_5) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12909,plain,
% 4.65/4.87 ( ~ class_Rings_Ozero__neq__one(X0)
% 4.65/4.87 | ~ class_Rings_Ono__zero__divisors(X0)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X0)
% 4.65/4.87 | ~ class_Power_Opower(X0)
% 4.65/4.87 | c_Power_Opower__class_Opower(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1107]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12910,plain,
% 4.65/4.87 ( ~ class_Rings_Ono__zero__divisors(X0)
% 4.65/4.87 | ~ class_Rings_Ozero__neq__one(X0)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X0)
% 4.65/4.87 | ~ class_Power_Opower(X0)
% 4.65/4.87 | c_Power_Opower__class_Opower(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_12909]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1098,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Rings_Ozero__neq__one(X1)
% 4.65/4.87 | ~ class_Rings_Ono__zero__divisors(X1)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X1)
% 4.65/4.87 | ~ class_Power_Opower(X1)
% 4.65/4.87 | c_Power_Opower__class_Opower(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6497_5) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12891,plain,
% 4.65/4.87 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.87 | ~ class_Rings_Ozero__neq__one(X1)
% 4.65/4.87 | ~ class_Rings_Ono__zero__divisors(X1)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X1)
% 4.65/4.87 | ~ class_Power_Opower(X1)
% 4.65/4.87 | c_Power_Opower__class_Opower(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1098]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12892,plain,
% 4.65/4.87 ( ~ class_Rings_Ono__zero__divisors(X0)
% 4.65/4.87 | ~ class_Rings_Ozero__neq__one(X0)
% 4.65/4.87 | ~ class_Rings_Omult__zero(X0)
% 4.65/4.87 | ~ class_Power_Opower(X0)
% 4.65/4.87 | c_Power_Opower__class_Opower(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_12891]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1094,plain,
% 4.65/4.87 ( c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Groups_Oone__class_Oone(X0)
% 4.65/4.87 | ~ class_Rings_Osemiring__0(X0)
% 4.65/4.87 | ~ class_Power_Opower(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6498_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12883,plain,
% 4.65/4.87 ( c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Groups_Oone__class_Oone(X0)
% 4.65/4.87 | ~ class_Rings_Osemiring__0(X0)
% 4.65/4.87 | ~ class_Power_Opower(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1094]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12884,plain,
% 4.65/4.87 ( ~ class_Rings_Osemiring__0(X0)
% 4.65/4.87 | ~ class_Power_Opower(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.87 | c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Groups_Oone__class_Oone(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_12883]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1091,plain,
% 4.65/4.87 ( c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6499_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12877,plain,
% 4.65/4.87 ( c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1091]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12878,plain,
% 4.65/4.87 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 4.65/4.87 | c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_12877]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1087,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | ~ class_Orderings_Olinorder(X0)
% 4.65/4.87 | X1 != X2 ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6500_3) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12869,plain,
% 4.65/4.87 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | ~ class_Orderings_Olinorder(X0)
% 4.65/4.87 | X1 != X2 ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1087]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12870,plain,
% 4.65/4.87 ( ~ class_Orderings_Olinorder(X0)
% 4.65/4.87 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.87 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.87 | X1 != X2 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_12869]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1082,plain,
% 4.65/4.87 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = c_Int_Onumber__class_Onumber__of(X0,X3)
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X3) != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6502_4) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12859,plain,
% 4.65/4.87 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = c_Int_Onumber__class_Onumber__of(X0,X3)
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X3) != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1082]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12860,plain,
% 4.65/4.87 ( ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | c_Rings_Oinverse__class_Odivide(X0,X2,X3) = c_Int_Onumber__class_Onumber__of(X0,X1)
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_12859]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1077,plain,
% 4.65/4.87 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6503_4) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12849,plain,
% 4.65/4.87 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.65/4.87 | ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1077]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12850,plain,
% 4.65/4.87 ( ~ class_Int_Onumber(X0)
% 4.65/4.87 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.87 | c_Int_Onumber__class_Onumber__of(X0,X1) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.65/4.87 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_12849]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1074,plain,
% 4.65/4.87 ( c_Groups_Otimes__class_Otimes(X0,X1,X1) = c_Groups_Otimes__class_Otimes(X0,X2,X2)
% 4.65/4.87 | ~ class_Rings_Oidom(X0)
% 4.65/4.87 | X1 != X2 ),
% 4.65/4.87 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6504_2) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12843,plain,
% 4.65/4.87 ( c_Groups_Otimes__class_Otimes(X0,X1,X1) = c_Groups_Otimes__class_Otimes(X0,X2,X2)
% 4.65/4.87 | ~ class_Rings_Oidom(X0)
% 4.65/4.87 | X1 != X2 ),
% 4.65/4.87 inference(copy,[status(esa)],[c_1074]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_12844,plain,
% 4.65/4.87 ( ~ class_Rings_Oidom(X0)
% 4.65/4.87 | c_Groups_Otimes__class_Otimes(X0,X1,X1) = c_Groups_Otimes__class_Otimes(X0,X2,X2)
% 4.65/4.87 | X1 != X2 ),
% 4.65/4.87 inference(rewriting,[status(thm)],[c_12843]) ).
% 4.65/4.87
% 4.65/4.87 cnf(c_1071,plain,
% 4.65/4.87 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 4.65/4.87 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 4.65/4.87 | X2 != X3 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6505_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12837,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 4.65/4.88 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 4.65/4.88 | X2 != X3 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_1071]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12838,plain,
% 4.65/4.88 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 4.65/4.88 | X2 != X3 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12837]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_1068,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 4.65/4.88 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 4.65/4.88 | X1 != X3 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6506_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12831,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 4.65/4.88 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 4.65/4.88 | X1 != X3 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_1068]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12832,plain,
% 4.65/4.88 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 4.65/4.88 | X1 != X3 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12831]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_1063,plain,
% 4.65/4.88 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.88 | X1 = X2
% 4.65/4.88 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.88 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6509_0) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12821,plain,
% 4.65/4.88 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.88 | X1 = X2
% 4.65/4.88 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.88 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_1063]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12822,plain,
% 4.65/4.88 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.88 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.88 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.65/4.88 | X1 = X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12821]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_1026,plain,
% 4.65/4.88 ( c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.88 | ~ class_Rings_Osemiring__0(X0)
% 4.65/4.88 | ~ class_Power_Opower(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6518_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12747,plain,
% 4.65/4.88 ( c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.88 | ~ class_Rings_Osemiring__0(X0)
% 4.65/4.88 | ~ class_Power_Opower(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_1026]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12748,plain,
% 4.65/4.88 ( ~ class_Rings_Osemiring__0(X0)
% 4.65/4.88 | ~ class_Power_Opower(X0)
% 4.65/4.88 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.88 | c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12747]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_995,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6529_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12685,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_995]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12686,plain,
% 4.65/4.88 ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | X0 != X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12685]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_992,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6530_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12679,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_992]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12680,plain,
% 4.65/4.88 ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2)
% 4.65/4.88 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12679]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_975,plain,
% 4.65/4.88 ( c_Groups_Otimes__class_Otimes(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6539_0) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12645,plain,
% 4.65/4.88 ( c_Groups_Otimes__class_Otimes(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_975]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12646,plain,
% 4.65/4.88 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 4.65/4.88 | c_Groups_Otimes__class_Otimes(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12645]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_972,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Rings_Oring__no__zero__divisors(X1)
% 4.65/4.88 | c_Groups_Otimes__class_Otimes(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6539_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12639,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Rings_Oring__no__zero__divisors(X1)
% 4.65/4.88 | c_Groups_Otimes__class_Otimes(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_972]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12640,plain,
% 4.65/4.88 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 4.65/4.88 | c_Groups_Otimes__class_Otimes(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12639]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_960,plain,
% 4.65/4.88 ( X0 = X1
% 4.65/4.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6545_0) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12615,plain,
% 4.65/4.88 ( X0 = X1
% 4.65/4.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_960]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12616,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 4.65/4.88 | X0 = X1 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12615]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_955,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.65/4.88 | X1 = X0
% 4.65/4.88 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6546_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12605,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.65/4.88 | X1 = X0
% 4.65/4.88 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_955]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12606,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.65/4.88 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 4.65/4.88 | X1 = X0 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12605]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_952,plain,
% 4.65/4.88 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | X2 != c_Rings_Oinverse__class_Odivide(X1,X3,X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6547_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12599,plain,
% 4.65/4.88 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | X2 != c_Rings_Oinverse__class_Odivide(X1,X3,X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_952]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12600,plain,
% 4.65/4.88 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 != c_Rings_Oinverse__class_Odivide(X0,X3,X1) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12599]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_951,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | X0 != c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 4.65/4.88 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6547_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12597,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | X0 != c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 4.65/4.88 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_951]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12598,plain,
% 4.65/4.88 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12597]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_948,plain,
% 4.65/4.88 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) != X2 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6548_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12591,plain,
% 4.65/4.88 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) != X2 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_948]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12592,plain,
% 4.65/4.88 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != X3
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12591]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_947,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X1,X2,X3) != X0
% 4.65/4.88 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6548_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12589,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X1,X2,X3) != X0
% 4.65/4.88 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_947]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12590,plain,
% 4.65/4.88 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != X3
% 4.65/4.88 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12589]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_943,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | X2 = X0
% 4.65/4.88 | ~ class_Rings_Odivision__ring(X1)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != c_Groups_Oone__class_Oone(X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6550_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12581,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | X2 = X0
% 4.65/4.88 | ~ class_Rings_Odivision__ring(X1)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != c_Groups_Oone__class_Oone(X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_943]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12582,plain,
% 4.65/4.88 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != c_Groups_Oone__class_Oone(X0)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12581]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_928,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X1,X0,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6561_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12551,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X1,X0,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_928]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12552,plain,
% 4.65/4.88 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X0,X1,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12551]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_922,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.88 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6566_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12539,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.88 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_922]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12540,plain,
% 4.65/4.88 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.65/4.88 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12539]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_916,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls))) = X1
% 4.65/4.88 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6568_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12527,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls))) = X1
% 4.65/4.88 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_916]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12528,plain,
% 4.65/4.88 ( ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | ~ class_Fields_Ofield(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls))) = X1 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12527]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_913,plain,
% 4.65/4.88 ( X0 = X1
% 4.65/4.88 | ~ class_Groups_Oab__group__add(X2)
% 4.65/4.88 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6569_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12521,plain,
% 4.65/4.88 ( X0 = X1
% 4.65/4.88 | ~ class_Groups_Oab__group__add(X2)
% 4.65/4.88 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_913]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12522,plain,
% 4.65/4.88 ( ~ class_Groups_Oab__group__add(X0)
% 4.65/4.88 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12521]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_910,plain,
% 4.65/4.88 ( X0 = X1
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X2)
% 4.65/4.88 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6570_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12515,plain,
% 4.65/4.88 ( X0 = X1
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X2)
% 4.65/4.88 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_910]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12516,plain,
% 4.65/4.88 ( ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12515]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_905,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != X2 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6572_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12505,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != X2 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_905]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12506,plain,
% 4.65/4.88 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != X1
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12505]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_898,plain,
% 4.65/4.88 ( c_Power_Opower__class_Opower(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.88 | ~ class_Rings_Ozero__neq__one(X0)
% 4.65/4.88 | ~ class_Rings_Ono__zero__divisors(X0)
% 4.65/4.88 | ~ class_Rings_Omult__zero(X0)
% 4.65/4.88 | ~ class_Power_Opower(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6573_6) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12491,plain,
% 4.65/4.88 ( c_Power_Opower__class_Opower(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.88 | ~ class_Rings_Ozero__neq__one(X0)
% 4.65/4.88 | ~ class_Rings_Ono__zero__divisors(X0)
% 4.65/4.88 | ~ class_Rings_Omult__zero(X0)
% 4.65/4.88 | ~ class_Power_Opower(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_898]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12492,plain,
% 4.65/4.88 ( ~ class_Rings_Ono__zero__divisors(X0)
% 4.65/4.88 | ~ class_Rings_Ozero__neq__one(X0)
% 4.65/4.88 | ~ class_Rings_Omult__zero(X0)
% 4.65/4.88 | ~ class_Power_Opower(X0)
% 4.65/4.88 | c_Power_Opower__class_Opower(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12491]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_890,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.65/4.88 | ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6577_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12475,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.65/4.88 | ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_890]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12476,plain,
% 4.65/4.88 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12475]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_872,plain,
% 4.65/4.88 ( ~ class_Orderings_Olinorder(X0)
% 4.65/4.88 | X1 != X2
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6583_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12439,plain,
% 4.65/4.88 ( ~ class_Orderings_Olinorder(X0)
% 4.65/4.88 | X1 != X2
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_872]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12440,plain,
% 4.65/4.88 ( ~ class_Orderings_Olinorder(X0)
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.88 | X2 != X1 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12439]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_843,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OPls)) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6592_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12381,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OPls)) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_843]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12382,plain,
% 4.65/4.88 ( ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OPls)) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12381]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_764,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 4.65/4.88 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6633_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12223,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 4.65/4.88 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_764]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12224,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 4.65/4.88 | X0 != c_Int_OPls ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12223]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_760,plain,
% 4.65/4.88 ( c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Oone__class_Oone(X0)
% 4.65/4.88 | ~ class_Rings_Osemiring__0(X0)
% 4.65/4.88 | ~ class_Power_Opower(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6634_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12215,plain,
% 4.65/4.88 ( c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Oone__class_Oone(X0)
% 4.65/4.88 | ~ class_Rings_Osemiring__0(X0)
% 4.65/4.88 | ~ class_Power_Opower(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_760]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12216,plain,
% 4.65/4.88 ( ~ class_Rings_Osemiring__0(X0)
% 4.65/4.88 | ~ class_Power_Opower(X0)
% 4.65/4.88 | c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Oone__class_Oone(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12215]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_752,plain,
% 4.65/4.88 ( c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.88 | ~ class_Rings_Osemiring__0(X0)
% 4.65/4.88 | ~ class_Power_Opower(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6640_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12199,plain,
% 4.65/4.88 ( c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.88 | ~ class_Rings_Osemiring__0(X0)
% 4.65/4.88 | ~ class_Power_Opower(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_752]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12200,plain,
% 4.65/4.88 ( ~ class_Rings_Osemiring__0(X0)
% 4.65/4.88 | ~ class_Power_Opower(X0)
% 4.65/4.88 | c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12199]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_745,plain,
% 4.65/4.88 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6644_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12185,plain,
% 4.65/4.88 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_745]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12186,plain,
% 4.65/4.88 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12185]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_744,plain,
% 4.65/4.88 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | X3 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6644_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12183,plain,
% 4.65/4.88 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | X3 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_744]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12184,plain,
% 4.65/4.88 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 = c_Rings_Oinverse__class_Odivide(X0,X3,X1) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12183]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_741,plain,
% 4.65/4.88 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X1,X2,X3) = X0
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6645_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12177,plain,
% 4.65/4.88 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X1,X2,X3) = X0
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_741]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12178,plain,
% 4.65/4.88 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 4.65/4.88 | X3 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12177]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_740,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6645_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12175,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_740]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12176,plain,
% 4.65/4.88 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12175]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_737,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Oinverse(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls))) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls))
% 4.65/4.88 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6647_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12169,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Oinverse(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls))) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls))
% 4.65/4.88 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_737]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12170,plain,
% 4.65/4.88 ( ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | ~ class_Fields_Ofield(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Oinverse(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls))) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls)) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12169]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_721,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) = c_Groups_Oone__class_Oone(X1)
% 4.65/4.88 | ~ class_Rings_Odivision__ring(X1)
% 4.65/4.88 | X2 != X0 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6653_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12137,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) = c_Groups_Oone__class_Oone(X1)
% 4.65/4.88 | ~ class_Rings_Odivision__ring(X1)
% 4.65/4.88 | X2 != X0 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_721]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12138,plain,
% 4.65/4.88 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = c_Groups_Oone__class_Oone(X0)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12137]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_718,plain,
% 4.65/4.88 ( c_Groups_Otimes__class_Otimes(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6654_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12131,plain,
% 4.65/4.88 ( c_Groups_Otimes__class_Otimes(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_718]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12132,plain,
% 4.65/4.88 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 4.65/4.88 | c_Groups_Otimes__class_Otimes(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12131]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_715,plain,
% 4.65/4.88 ( c_Groups_Otimes__class_Otimes(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6655_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12125,plain,
% 4.65/4.88 ( c_Groups_Otimes__class_Otimes(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_715]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12126,plain,
% 4.65/4.88 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 4.65/4.88 | c_Groups_Otimes__class_Otimes(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12125]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_712,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6656_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12119,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_712]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12120,plain,
% 4.65/4.88 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12119]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_702,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6660_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12099,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_702]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12100,plain,
% 4.65/4.88 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12099]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_675,plain,
% 4.65/4.88 ( c_Power_Opower__class_Opower(X0,X1,X2) = c_Groups_Oone__class_Oone(X0)
% 4.65/4.88 | ~ class_Power_Opower(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6673_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12045,plain,
% 4.65/4.88 ( c_Power_Opower__class_Opower(X0,X1,X2) = c_Groups_Oone__class_Oone(X0)
% 4.65/4.88 | ~ class_Power_Opower(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_675]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12046,plain,
% 4.65/4.88 ( ~ class_Power_Opower(X0)
% 4.65/4.88 | c_Power_Opower__class_Opower(X0,X1,X2) = c_Groups_Oone__class_Oone(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12045]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_672,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 4.65/4.88 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6674_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12039,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 4.65/4.88 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_672]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12040,plain,
% 4.65/4.88 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 4.65/4.88 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12039]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_664,plain,
% 4.65/4.88 ( c_Nat__Transfer_Otsub(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 4.65/4.88 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6677_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12023,plain,
% 4.65/4.88 ( c_Nat__Transfer_Otsub(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 4.65/4.88 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_664]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12024,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.65/4.88 | c_Nat__Transfer_Otsub(X1,X0) = c_Int_OPls ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12023]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_659,plain,
% 4.65/4.88 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Groups_Oab__group__add(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6679_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12013,plain,
% 4.65/4.88 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Groups_Oab__group__add(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_659]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12014,plain,
% 4.65/4.88 ( ~ class_Groups_Oab__group__add(X0)
% 4.65/4.88 | c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12013]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_656,plain,
% 4.65/4.88 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6680_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12007,plain,
% 4.65/4.88 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_656]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_12008,plain,
% 4.65/4.88 ( ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_12007]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_619,plain,
% 4.65/4.88 ( X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.65/4.88 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.65/4.88 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6698_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11933,plain,
% 4.65/4.88 ( X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.65/4.88 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.65/4.88 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_619]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11934,plain,
% 4.65/4.88 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.65/4.88 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.65/4.88 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11933]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_616,plain,
% 4.65/4.88 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6699_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11927,plain,
% 4.65/4.88 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_616]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11928,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.88 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11927]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_603,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.88 | ~ class_Orderings_Oorder(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6704_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11901,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.88 | ~ class_Orderings_Oorder(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_603]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11902,plain,
% 4.65/4.88 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.88 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11901]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_600,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.88 | ~ class_Orderings_Oorder(X0)
% 4.65/4.88 | X2 != X1 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6705_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11895,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.88 | ~ class_Orderings_Oorder(X0)
% 4.65/4.88 | X2 != X1 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_600]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11896,plain,
% 4.65/4.88 ( ~ class_Orderings_Oorder(X0)
% 4.65/4.88 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.88 | X2 != X1 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11895]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_592,plain,
% 4.65/4.88 ( X0 = X1
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X2)
% 4.65/4.88 | X0 = c_Groups_Ozero__class_Ozero(X2)
% 4.65/4.88 | c_Rings_Oinverse__class_Oinverse(X2,X0) != c_Rings_Oinverse__class_Oinverse(X2,X1)
% 4.65/4.88 | ~ class_Rings_Odivision__ring(X2) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6707_4) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11879,plain,
% 4.65/4.88 ( X0 = X1
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X2)
% 4.65/4.88 | X0 = c_Groups_Ozero__class_Ozero(X2)
% 4.65/4.88 | c_Rings_Oinverse__class_Oinverse(X2,X0) != c_Rings_Oinverse__class_Oinverse(X2,X1)
% 4.65/4.88 | ~ class_Rings_Odivision__ring(X2) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_592]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11880,plain,
% 4.65/4.88 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Rings_Oinverse__class_Oinverse(X0,X2)
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11879]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_574,plain,
% 4.65/4.88 ( X0 = X1
% 4.65/4.88 | ~ class_Int_Oring__char__0(X2)
% 4.65/4.88 | ~ class_Int_Onumber__ring(X2)
% 4.65/4.88 | c_Int_Onumber__class_Onumber__of(X2,X0) != c_Int_Onumber__class_Onumber__of(X2,X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6715_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11843,plain,
% 4.65/4.88 ( X0 = X1
% 4.65/4.88 | ~ class_Int_Oring__char__0(X2)
% 4.65/4.88 | ~ class_Int_Onumber__ring(X2)
% 4.65/4.88 | c_Int_Onumber__class_Onumber__of(X2,X0) != c_Int_Onumber__class_Onumber__of(X2,X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_574]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11844,plain,
% 4.65/4.88 ( ~ class_Int_Oring__char__0(X0)
% 4.65/4.88 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_Int_Onumber__class_Onumber__of(X0,X2)
% 4.65/4.88 | X1 = X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11843]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_557,plain,
% 4.65/4.88 ( X0 = X1
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X2)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X2,X0) != c_Groups_Ouminus__class_Ouminus(X2,X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6745_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11809,plain,
% 4.65/4.88 ( X0 = X1
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X2)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X2,X0) != c_Groups_Ouminus__class_Ouminus(X2,X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_557]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11810,plain,
% 4.65/4.88 ( ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ouminus__class_Ouminus(X0,X2)
% 4.65/4.88 | X1 = X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11809]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_539,plain,
% 4.65/4.88 ( X0 != c_Groups_Ouminus__class_Ouminus(X1,X2)
% 4.65/4.88 | X2 = c_Groups_Ouminus__class_Ouminus(X1,X0)
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6760_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11773,plain,
% 4.65/4.88 ( X0 != c_Groups_Ouminus__class_Ouminus(X1,X2)
% 4.65/4.88 | X2 = c_Groups_Ouminus__class_Ouminus(X1,X0)
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_539]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11774,plain,
% 4.65/4.88 ( ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2)
% 4.65/4.88 | X2 = c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11773]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_538,plain,
% 4.65/4.88 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X1)
% 4.65/4.88 | X2 != c_Groups_Ouminus__class_Ouminus(X1,X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6760_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11771,plain,
% 4.65/4.88 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X1)
% 4.65/4.88 | X2 != c_Groups_Ouminus__class_Ouminus(X1,X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_538]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11772,plain,
% 4.65/4.88 ( ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | X1 = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 4.65/4.88 | X2 != c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11771]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_533,plain,
% 4.65/4.88 ( c_Groups_Ouminus__class_Ouminus(X0,X1) != X2
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X2) = X1
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6762_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11761,plain,
% 4.65/4.88 ( c_Groups_Ouminus__class_Ouminus(X0,X1) != X2
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X2) = X1
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_533]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11762,plain,
% 4.65/4.88 ( ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X1) != X2
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X2) = X1 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11761]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_532,plain,
% 4.65/4.88 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X2) != X1 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6762_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11759,plain,
% 4.65/4.88 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X2) != X1 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_532]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11760,plain,
% 4.65/4.88 ( ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X2) != X1 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11759]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_529,plain,
% 4.65/4.88 ( X0 = c_Int_Onumber__class_Onumber__of(X1,X2)
% 4.65/4.88 | ~ class_Int_Onumber(X1)
% 4.65/4.88 | c_Int_Onumber__class_Onumber__of(X1,X2) != X0 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6763_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11753,plain,
% 4.65/4.88 ( X0 = c_Int_Onumber__class_Onumber__of(X1,X2)
% 4.65/4.88 | ~ class_Int_Onumber(X1)
% 4.65/4.88 | c_Int_Onumber__class_Onumber__of(X1,X2) != X0 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_529]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11754,plain,
% 4.65/4.88 ( ~ class_Int_Onumber(X0)
% 4.65/4.88 | c_Int_Onumber__class_Onumber__of(X0,X1) != X2
% 4.65/4.88 | X2 = c_Int_Onumber__class_Onumber__of(X0,X1) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11753]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_526,plain,
% 4.65/4.88 ( c_Int_Onumber__class_Onumber__of(X0,X1) = X2
% 4.65/4.88 | ~ class_Int_Onumber(X0)
% 4.65/4.88 | X2 != c_Int_Onumber__class_Onumber__of(X0,X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6764_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11747,plain,
% 4.65/4.88 ( c_Int_Onumber__class_Onumber__of(X0,X1) = X2
% 4.65/4.88 | ~ class_Int_Onumber(X0)
% 4.65/4.88 | X2 != c_Int_Onumber__class_Onumber__of(X0,X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_526]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11748,plain,
% 4.65/4.88 ( ~ class_Int_Onumber(X0)
% 4.65/4.88 | c_Int_Onumber__class_Onumber__of(X0,X1) = X2
% 4.65/4.88 | X2 != c_Int_Onumber__class_Onumber__of(X0,X1) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11747]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_522,plain,
% 4.65/4.88 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_Int_Onumber__class_Onumber__of(X0,X2)
% 4.65/4.88 | ~ class_Int_Oring__char__0(X0)
% 4.65/4.88 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6765_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11739,plain,
% 4.65/4.88 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_Int_Onumber__class_Onumber__of(X0,X2)
% 4.65/4.88 | ~ class_Int_Oring__char__0(X0)
% 4.65/4.88 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_522]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11740,plain,
% 4.65/4.88 ( ~ class_Int_Oring__char__0(X0)
% 4.65/4.88 | ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | c_Int_Onumber__class_Onumber__of(X0,X1) = c_Int_Onumber__class_Onumber__of(X0,X2)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11739]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_519,plain,
% 4.65/4.88 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6769_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11733,plain,
% 4.65/4.88 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_519]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11734,plain,
% 4.65/4.88 ( ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ozero__class_Ozero(X0) = X1
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11733]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_516,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X1)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6770_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11727,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X1)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_516]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11728,plain,
% 4.65/4.88 ( ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11727]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_513,plain,
% 4.65/4.88 ( X0 = c_Groups_Oone__class_Oone(X1)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Oone__class_Oone(X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6771_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11721,plain,
% 4.65/4.88 ( X0 = c_Groups_Oone__class_Oone(X1)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X1)
% 4.65/4.88 | c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Oone__class_Oone(X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_513]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11722,plain,
% 4.65/4.88 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Groups_Oone__class_Oone(X0)
% 4.65/4.88 | X1 = c_Groups_Oone__class_Oone(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11721]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_504,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Rings_Odivision__ring__inverse__zero(X1)
% 4.65/4.88 | c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6774_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11703,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Rings_Odivision__ring__inverse__zero(X1)
% 4.65/4.88 | c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_504]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11704,plain,
% 4.65/4.88 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11703]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_501,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 4.65/4.88 | c_Groups_Oabs__class_Oabs(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6775_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11697,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 4.65/4.88 | c_Groups_Oabs__class_Oabs(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_501]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11698,plain,
% 4.65/4.88 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.65/4.88 | c_Groups_Oabs__class_Oabs(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11697]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_498,plain,
% 4.65/4.88 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6777_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11691,plain,
% 4.65/4.88 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_498]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11692,plain,
% 4.65/4.88 ( ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11691]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_495,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Rings_Oinverse__class_Oinverse(X0,X2)
% 4.65/4.88 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6778_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11685,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Rings_Oinverse__class_Oinverse(X0,X2)
% 4.65/4.88 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_495]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11686,plain,
% 4.65/4.88 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Rings_Oinverse__class_Oinverse(X0,X2)
% 4.65/4.88 | X1 != X2 ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11685]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_492,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_RealVector_Oreal__normed__vector(X1)
% 4.65/4.88 | c_RealVector_Onorm__class_Onorm(X1,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6779_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11679,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_RealVector_Oreal__normed__vector(X1)
% 4.65/4.88 | c_RealVector_Onorm__class_Onorm(X1,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_492]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11680,plain,
% 4.65/4.88 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.88 | c_RealVector_Onorm__class_Onorm(X0,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11679]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_480,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X1,X0) != X0 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6784_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11655,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X1,X0) != X0 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_480]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11656,plain,
% 4.65/4.88 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X1) != X1
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11655]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_477,plain,
% 4.65/4.88 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ozero__class_Ozero(X0) != X1 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6785_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11649,plain,
% 4.65/4.88 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ozero__class_Ozero(X0) != X1 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_477]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11650,plain,
% 4.65/4.88 ( ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ozero__class_Ozero(X0) != X1
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11649]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_474,plain,
% 4.65/4.88 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6786_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11643,plain,
% 4.65/4.88 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_474]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11644,plain,
% 4.65/4.88 ( ~ class_Groups_Ogroup__add(X0)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11643]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_471,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6787_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11637,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 4.65/4.88 | ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_471]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11638,plain,
% 4.65/4.88 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 4.65/4.88 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11637]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_468,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6788_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11631,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_468]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11632,plain,
% 4.65/4.88 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Oinverse(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11631]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_465,plain,
% 4.65/4.88 ( c_Groups_Oabs__class_Oabs(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6789_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11625,plain,
% 4.65/4.88 ( c_Groups_Oabs__class_Oabs(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_465]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11626,plain,
% 4.65/4.88 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.65/4.88 | c_Groups_Oabs__class_Oabs(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11625]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_462,plain,
% 4.65/4.88 ( c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6790_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11619,plain,
% 4.65/4.88 ( c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_462]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11620,plain,
% 4.65/4.88 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.88 | c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11619]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_444,plain,
% 4.65/4.88 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X1
% 4.65/4.88 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6798_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11583,plain,
% 4.65/4.88 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X1
% 4.65/4.88 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_444]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11584,plain,
% 4.65/4.88 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 4.65/4.88 | c_Groups_Ouminus__class_Ouminus(X0,X1) = X1
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11583]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_423,plain,
% 4.65/4.88 ( X0 = c_Groups_Oone__class_Oone(X1)
% 4.65/4.88 | ~ class_Groups_Oone(X1)
% 4.65/4.88 | c_Groups_Oone__class_Oone(X1) != X0 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6809_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11541,plain,
% 4.65/4.88 ( X0 = c_Groups_Oone__class_Oone(X1)
% 4.65/4.88 | ~ class_Groups_Oone(X1)
% 4.65/4.88 | c_Groups_Oone__class_Oone(X1) != X0 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_423]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11542,plain,
% 4.65/4.88 ( ~ class_Groups_Oone(X0)
% 4.65/4.88 | c_Groups_Oone__class_Oone(X0) != X1
% 4.65/4.88 | X1 = c_Groups_Oone__class_Oone(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11541]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_420,plain,
% 4.65/4.88 ( c_Groups_Oone__class_Oone(X0) = X1
% 4.65/4.88 | ~ class_Groups_Oone(X0)
% 4.65/4.88 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6810_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11535,plain,
% 4.65/4.88 ( c_Groups_Oone__class_Oone(X0) = X1
% 4.65/4.88 | ~ class_Groups_Oone(X0)
% 4.65/4.88 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_420]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11536,plain,
% 4.65/4.88 ( ~ class_Groups_Oone(X0)
% 4.65/4.88 | c_Groups_Oone__class_Oone(X0) = X1
% 4.65/4.88 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11535]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_417,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Groups_Ozero(X1)
% 4.65/4.88 | c_Groups_Ozero__class_Ozero(X1) != X0 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6811_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11529,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.65/4.88 | ~ class_Groups_Ozero(X1)
% 4.65/4.88 | c_Groups_Ozero__class_Ozero(X1) != X0 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_417]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11530,plain,
% 4.65/4.88 ( ~ class_Groups_Ozero(X0)
% 4.65/4.88 | c_Groups_Ozero__class_Ozero(X0) != X1
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11529]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_414,plain,
% 4.65/4.88 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 4.65/4.88 | ~ class_Groups_Ozero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6812_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11523,plain,
% 4.65/4.88 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 4.65/4.88 | ~ class_Groups_Ozero(X0)
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_414]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11524,plain,
% 4.65/4.88 ( ~ class_Groups_Ozero(X0)
% 4.65/4.88 | c_Groups_Ozero__class_Ozero(X0) = X1
% 4.65/4.88 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11523]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_376,plain,
% 4.65/4.88 ( 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) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6062_0) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11447,plain,
% 4.65/4.88 ( 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) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_376]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11448,plain,
% 4.65/4.88 ( 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_Int_OPls ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11447]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_363,plain,
% 4.65/4.88 ( c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6847_0) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11421,plain,
% 4.65/4.88 ( c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_363]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11422,plain,
% 4.65/4.88 ( c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Int_OPls ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11421]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_302,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),X1)) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6203_0) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11331,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),X1)) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_302]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11332,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),X1)) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11331]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_264,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6563_0) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11277,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_264]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11278,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11277]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_263,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6564_0) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11275,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_263]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11276,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11275]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_258,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls)) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6650_0) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11266,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls)) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_258]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11267,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls)) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11266]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_257,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6719_0) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11264,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_257]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11265,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11264]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_256,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6720_0) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11262,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_256]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_11263,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_11262]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4807,negated_conjecture,
% 4.65/4.88 ( ~ v_thesis____ ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_15) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_5967,negated_conjecture,
% 4.65/4.88 ( ~ v_thesis____ ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4807]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_5971,negated_conjecture,
% 4.65/4.88 ( ~ v_thesis____ ),
% 4.65/4.88 inference(copy,[status(esa)],[c_5967]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_5988,negated_conjecture,
% 4.65/4.88 ( ~ v_thesis____ ),
% 4.65/4.88 inference(copy,[status(esa)],[c_5971]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_5989,negated_conjecture,
% 4.65/4.88 ( ~ v_thesis____ ),
% 4.65/4.88 inference(copy,[status(esa)],[c_5988]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20301,negated_conjecture,
% 4.65/4.88 ( ~ v_thesis____ ),
% 4.65/4.88 inference(copy,[status(esa)],[c_5989]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4796,plain,
% 4.65/4.88 ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X1,X7,X8,X9),X10)
% 4.65/4.88 | hAPP(X3,hAPP(X4,X5)) != hAPP(X8,hAPP(X9,X10)) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5337_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20287,plain,
% 4.65/4.88 ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X1,X7,X8,X9),X10)
% 4.65/4.88 | hAPP(X3,hAPP(X4,X5)) != hAPP(X8,hAPP(X9,X10)) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4796]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4790,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X2)
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5340_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20275,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X2)
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4790]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4782,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ominus__class_Ominus(X0,X3,X4)),c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X4)),c_Groups_Otimes__class_Otimes(X0,X2,c_Groups_Ominus__class_Ominus(X0,X3,X4))) = c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.65/4.88 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5342_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20259,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ominus__class_Ominus(X0,X3,X4)),c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X4)),c_Groups_Otimes__class_Otimes(X0,X2,c_Groups_Ominus__class_Ominus(X0,X3,X4))) = c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.65/4.88 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4782]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20260,plain,
% 4.65/4.88 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ominus__class_Ominus(X0,X3,X4)),c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X4)),c_Groups_Otimes__class_Otimes(X0,X2,c_Groups_Ominus__class_Ominus(X0,X3,X4))) = c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4)) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_20259]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4780,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4))))
% 4.65/4.88 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5344_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20255,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4))))
% 4.65/4.88 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4780]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20256,plain,
% 4.65/4.88 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.65/4.88 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4)))) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_20255]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4778,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4))))
% 4.65/4.88 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5345_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20251,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4))))
% 4.65/4.88 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4778]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20252,plain,
% 4.65/4.88 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4)))) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_20251]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4776,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X4)),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,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X5,X3)),X4)
% 4.65/4.88 | ~ class_RealVector_Oreal__field(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5346_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20247,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X4)),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,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X5,X3)),X4)
% 4.65/4.88 | ~ class_RealVector_Oreal__field(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4776]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20248,plain,
% 4.65/4.88 ( ~ class_RealVector_Oreal__field(X0)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X4)),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,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X5,X3)),X4) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_20247]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4750,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X0)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk3_0,X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5360_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20195,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X0)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk3_0,X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4750]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20196,plain,
% 4.65/4.88 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk3_0,X0)
% 4.65/4.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X0)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_20195]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4748,plain,
% 4.65/4.88 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1),X2)) = c_Power_Opower__class_Opower(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.65/4.88 | ~ class_Int_Onumber__ring(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5361_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20191,plain,
% 4.65/4.88 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1),X2)) = c_Power_Opower__class_Opower(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.65/4.88 | ~ class_Int_Onumber__ring(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4748]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20192,plain,
% 4.65/4.88 ( ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1),X2)) = c_Power_Opower__class_Opower(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_20191]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4746,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1),X2)) = c_Power_Opower__class_Opower(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.65/4.88 | ~ class_Int_Onumber__ring(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5362_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20187,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1),X2)) = c_Power_Opower__class_Opower(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.65/4.88 | ~ class_Int_Onumber__ring(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4746]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20188,plain,
% 4.65/4.88 ( ~ class_Int_Onumber__ring(X0)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1),X2)) = c_Power_Opower__class_Opower(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_20187]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4731,plain,
% 4.65/4.88 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.88 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5368_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20157,plain,
% 4.65/4.88 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.88 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4731]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20158,plain,
% 4.65/4.88 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_20157]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4729,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) != X1 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5370_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20153,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) != X1 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4729]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20154,plain,
% 4.65/4.88 ( c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) != X1
% 4.65/4.88 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_20153]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4727,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) != X1 ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5371_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20149,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) != X1 ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4727]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20150,plain,
% 4.65/4.88 ( c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) != X0
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_20149]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4724,plain,
% 4.65/4.88 ( c_Transcendental_Oarctan(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1)))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5372_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20143,plain,
% 4.65/4.88 ( c_Transcendental_Oarctan(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1)))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4724]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_20144,plain,
% 4.65/4.88 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.65/4.88 | c_Transcendental_Oarctan(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1)))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1)) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_20143]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4622,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X0))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk2_0,X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5394_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19939,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X0))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk2_0,X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4622]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19940,plain,
% 4.65/4.88 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk2_0,X0)
% 4.65/4.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X0))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19939]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4619,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5395_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19933,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4619]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19934,plain,
% 4.65/4.88 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.88 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19933]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4616,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5396_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19927,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4616]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19928,plain,
% 4.65/4.88 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.88 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19927]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4612,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)),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))
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5397_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19919,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)),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))
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4612]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19920,plain,
% 4.65/4.88 ( ~ class_Fields_Ofield(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)),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))
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19919]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4608,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)),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))
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5398_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19911,plain,
% 4.65/4.88 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)),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))
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4608]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19912,plain,
% 4.65/4.88 ( ~ class_Fields_Ofield(X0)
% 4.65/4.88 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)),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))
% 4.65/4.88 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.88 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19911]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4606,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.65/4.88 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5399_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19907,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 4.65/4.88 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4606]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19908,plain,
% 4.65/4.88 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.88 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X0,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19907]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4604,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ominus__class_Ominus(X0,X2,X3)),c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X4),X3)) = c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X4,X3))
% 4.65/4.88 | ~ class_Rings_Oring(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5400_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19903,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ominus__class_Ominus(X0,X2,X3)),c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X4),X3)) = c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X4,X3))
% 4.65/4.88 | ~ class_Rings_Oring(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4604]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19904,plain,
% 4.65/4.88 ( ~ class_Rings_Oring(X0)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ominus__class_Ominus(X0,X2,X3)),c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X4),X3)) = c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X4,X3)) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19903]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4568,plain,
% 4.65/4.88 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.88 | ~ class_Rings_Olinordered__ring(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5409_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19831,plain,
% 4.65/4.88 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)),c_Groups_Ozero__class_Ozero(X0))
% 4.65/4.88 | ~ class_Rings_Olinordered__ring(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4568]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19832,plain,
% 4.65/4.88 ( ~ class_Rings_Olinordered__ring(X0)
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19831]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4543,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2),X4)
% 4.65/4.88 | ~ class_Rings_Osemiring(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5417_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19781,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2),X4)
% 4.65/4.88 | ~ class_Rings_Osemiring(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4543]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19782,plain,
% 4.65/4.88 ( ~ class_Rings_Osemiring(X0)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X3,X2),X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2),X4) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19781]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4417,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))
% 4.65/4.88 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5441_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19529,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))
% 4.65/4.88 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4417]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19530,plain,
% 4.65/4.88 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.65/4.88 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19529]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4367,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))
% 4.65/4.88 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5450_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19429,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))
% 4.65/4.88 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4367]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19430,plain,
% 4.65/4.88 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19429]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4310,plain,
% 4.65/4.88 ( 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)
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.88 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5461_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19315,plain,
% 4.65/4.88 ( 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)
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.88 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4310]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19316,plain,
% 4.65/4.88 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.88 | 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)
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19315]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4307,plain,
% 4.65/4.88 ( 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))))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.88 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5462_2) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19309,plain,
% 4.65/4.88 ( 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))))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.65/4.88 | ~ class_Fields_Olinordered__field(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4307]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19310,plain,
% 4.65/4.88 ( ~ class_Fields_Olinordered__field(X0)
% 4.65/4.88 | 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))))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19309]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4285,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5467_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19265,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4285]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19266,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19265]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4283,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5468_1) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19261,plain,
% 4.65/4.88 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4283]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19262,plain,
% 4.65/4.88 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/4.88 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19261]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4191,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,X2)),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.88 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5487_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19077,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,X2)),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.88 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.88 inference(copy,[status(esa)],[c_4191]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_19078,plain,
% 4.65/4.88 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.88 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,X2)),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.88 inference(rewriting,[status(thm)],[c_19077]) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_4149,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X4))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 4.65/4.88 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.65/4.88 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5499_3) ).
% 4.65/4.88
% 4.65/4.88 cnf(c_18993,plain,
% 4.65/4.88 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X4))
% 4.65/4.88 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 4.65/4.89 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_4149]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18994,plain,
% 4.65/4.89 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.65/4.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X4))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18993]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_4145,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 4.65/4.89 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5500_3) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18985,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 4.65/4.89 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_4145]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18986,plain,
% 4.65/4.89 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/4.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18985]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_4143,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Otimes__class_Otimes(X0,X3,c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X4))
% 4.65/4.89 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5501_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18981,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Otimes__class_Otimes(X0,X3,c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X4))
% 4.65/4.89 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_4143]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18982,plain,
% 4.65/4.89 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.65/4.89 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Otimes__class_Otimes(X0,X3,c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X4)) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18981]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_4141,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X4)))
% 4.65/4.89 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5502_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18977,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X4)))
% 4.65/4.89 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_4141]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18978,plain,
% 4.65/4.89 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.65/4.89 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X4))) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18977]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_4065,plain,
% 4.65/4.89 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 4.65/4.89 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X3)),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X3),X4) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5517_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18825,plain,
% 4.65/4.89 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 4.65/4.89 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X3)),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X3),X4) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_4065]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18826,plain,
% 4.65/4.89 ( ~ class_Rings_Olinordered__idom(X0)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X3),X4)
% 4.65/4.89 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X3)),c_Groups_Otimes__class_Otimes(X0,X2,X4)) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18825]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_4056,plain,
% 4.65/4.89 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.65/4.89 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5520_0) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18807,plain,
% 4.65/4.89 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.65/4.89 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_4056]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_4055,plain,
% 4.65/4.89 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.89 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5520_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18805,plain,
% 4.65/4.89 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.89 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_4055]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_4053,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5520_3) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18801,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_4053]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18802,plain,
% 4.65/4.89 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.65/4.89 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18801]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_4022,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)))
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5527_2) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18739,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)))
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_4022]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18740,plain,
% 4.65/4.89 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.89 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)))
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18739]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_4019,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)))
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5528_2) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18733,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)))
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_4019]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18734,plain,
% 4.65/4.89 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.65/4.89 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)))
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18733]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_4017,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)))
% 4.65/4.89 | ~ class_Rings_Olinordered__ring(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5529_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18729,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2)))
% 4.65/4.89 | ~ class_Rings_Olinordered__ring(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_4017]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18730,plain,
% 4.65/4.89 ( ~ class_Rings_Olinordered__ring(X0)
% 4.65/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Otimes__class_Otimes(X0,X2,X2))) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18729]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_4014,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,X2)))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.89 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5530_2) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18723,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,X2)))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.89 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_4014]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18724,plain,
% 4.65/4.89 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.65/4.89 | c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,X2))) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18723]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3886,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.89 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5555_3) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18467,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X3,X1),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.89 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3886]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18468,plain,
% 4.65/4.89 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.65/4.89 | c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18467]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3882,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.89 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5556_3) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18459,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.65/4.89 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3882]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18460,plain,
% 4.65/4.89 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.65/4.89 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18459]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3838,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.89 | ~ class_Rings_Olinordered__semidom(X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X2,X3,X1)) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5567_3) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18371,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.65/4.89 | ~ class_Rings_Olinordered__semidom(X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X2,X3,X1)) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3838]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18372,plain,
% 4.65/4.89 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.89 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X3,X1),c_Power_Opower__class_Opower(X0,X3,X2))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18371]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3826,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Rings_Odivision__ring(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5570_3) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18347,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Rings_Odivision__ring(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3826]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18348,plain,
% 4.65/4.89 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.89 | c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18347]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3822,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Rings_Odivision__ring(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5571_3) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18339,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Rings_Odivision__ring(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3822]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18340,plain,
% 4.65/4.89 ( ~ class_Rings_Odivision__ring(X0)
% 4.65/4.89 | c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18339]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3818,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5572_3) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18331,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3818]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18332,plain,
% 4.65/4.89 ( ~ class_Fields_Ofield(X0)
% 4.65/4.89 | c_Groups_Otimes__class_Otimes(X0,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))
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18331]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3803,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2)) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5577_2) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18301,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2)) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3803]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18302,plain,
% 4.65/4.89 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1))
% 4.65/4.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18301]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3800,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1)) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5578_2) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18295,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1)) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3800]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18296,plain,
% 4.65/4.89 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2))
% 4.65/4.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18295]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3794,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X2,X0),c_Power_Opower__class_Opower(tc_Nat_Onat,X2,X1))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5580_2) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18283,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X2,X0),c_Power_Opower__class_Opower(tc_Nat_Onat,X2,X1))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3794]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18284,plain,
% 4.65/4.89 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X0,X1),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,X2))
% 4.65/4.89 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18283]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3789,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 4.65/4.89 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5581_4) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18273,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 4.65/4.89 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3789]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18274,plain,
% 4.65/4.89 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X0,X3,X1))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18273]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3784,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
% 4.65/4.89 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5582_4) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18263,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
% 4.65/4.89 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3784]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18264,plain,
% 4.65/4.89 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.65/4.89 | c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X0,X3,X1))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Oone__class_Oone(X0)) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18263]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3774,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2)
% 4.65/4.89 | X0 != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X2)) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5585_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18243,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2)
% 4.65/4.89 | X0 != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X2)) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3774]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3771,plain,
% 4.65/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)),X2) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5586_2) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18237,plain,
% 4.65/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)),X2) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3771]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18238,plain,
% 4.65/4.89 ( ~ class_Fields_Ofield(X0)
% 4.65/4.89 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)),X2) = c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18237]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3768,plain,
% 4.65/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,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))
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5587_2) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18231,plain,
% 4.65/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,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))
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3768]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18232,plain,
% 4.65/4.89 ( ~ class_Fields_Ofield(X0)
% 4.65/4.89 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,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))
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18231]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3765,plain,
% 4.65/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.65/4.89 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5588_2) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18225,plain,
% 4.65/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.65/4.89 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3765]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18226,plain,
% 4.65/4.89 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.89 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 4.65/4.89 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18225]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3762,plain,
% 4.65/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,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))
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5589_2) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18219,plain,
% 4.65/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,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))
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3762]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18220,plain,
% 4.65/4.89 ( ~ class_Fields_Ofield(X0)
% 4.65/4.89 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,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))
% 4.65/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18219]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3759,plain,
% 4.65/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)),X3) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 4.65/4.89 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5590_2) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18213,plain,
% 4.65/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)),X3) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 4.65/4.89 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3759]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18214,plain,
% 4.65/4.89 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.89 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)),X3) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 4.65/4.89 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18213]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3756,plain,
% 4.65/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)),X2) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5591_2) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18207,plain,
% 4.65/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)),X2) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.65/4.89 | ~ class_Fields_Ofield(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3756]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18208,plain,
% 4.65/4.89 ( ~ class_Fields_Ofield(X0)
% 4.65/4.89 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)),X2) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.65/4.89 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18207]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3721,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.65/4.89 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5601_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18137,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.65/4.89 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3721]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18138,plain,
% 4.65/4.89 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.65/4.89 | c_Groups_Otimes__class_Otimes(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4)) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18137]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3719,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.65/4.89 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5602_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18133,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4))
% 4.65/4.89 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3719]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18134,plain,
% 4.65/4.89 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.65/4.89 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X4)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),c_Groups_Otimes__class_Otimes(X0,X2,X4)) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18133]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3717,plain,
% 4.65/4.89 ( 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))
% 4.65/4.89 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5603_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18129,plain,
% 4.65/4.89 ( 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))
% 4.65/4.89 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3717]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18130,plain,
% 4.65/4.89 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.65/4.89 | 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)) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18129]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3715,plain,
% 4.65/4.89 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ominus__class_Ominus(X0,X3,X4)) = c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 4.65/4.89 | ~ class_Groups_Oab__group__add(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5604_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18125,plain,
% 4.65/4.89 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ominus__class_Ominus(X0,X3,X4)) = c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 4.65/4.89 | ~ class_Groups_Oab__group__add(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3715]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18126,plain,
% 4.65/4.89 ( ~ class_Groups_Oab__group__add(X0)
% 4.65/4.89 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ominus__class_Ominus(X0,X3,X4)) = c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4)) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18125]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3713,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5605_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18121,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3713]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3711,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5606_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18117,plain,
% 4.65/4.89 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),X1)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3711]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3677,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X3)) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1,X2)),X3)
% 4.65/4.89 | ~ class_Int_Onumber__ring(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5613_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18049,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X3)) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1,X2)),X3)
% 4.65/4.89 | ~ class_Int_Onumber__ring(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3677]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18050,plain,
% 4.65/4.89 ( ~ class_Int_Onumber__ring(X0)
% 4.65/4.89 | c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X3)) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1,X2)),X3) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18049]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3675,plain,
% 4.65/4.89 ( c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ominus__class_Ominus(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X3)) = c_Groups_Ominus__class_Ominus(X0,c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),X3)
% 4.65/4.89 | ~ class_Int_Onumber__ring(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5614_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18045,plain,
% 4.65/4.89 ( c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ominus__class_Ominus(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X3)) = c_Groups_Ominus__class_Ominus(X0,c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),X3)
% 4.65/4.89 | ~ class_Int_Onumber__ring(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3675]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18046,plain,
% 4.65/4.89 ( ~ class_Int_Onumber__ring(X0)
% 4.65/4.89 | c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Ominus__class_Ominus(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X3)) = c_Groups_Ominus__class_Ominus(X0,c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),X3) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18045]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3673,plain,
% 4.65/4.89 ( c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X3)) = c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),X3)
% 4.65/4.89 | ~ class_Int_Onumber__ring(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5615_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18041,plain,
% 4.65/4.89 ( c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X3)) = c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),X3)
% 4.65/4.89 | ~ class_Int_Onumber__ring(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3673]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18042,plain,
% 4.65/4.89 ( ~ class_Int_Onumber__ring(X0)
% 4.65/4.89 | c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X2),X3)) = c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),X3) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18041]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3670,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,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) = c_Power_Opower__class_Opower(X0,X1,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 4.65/4.89 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5616_2) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18035,plain,
% 4.65/4.89 ( c_Groups_Otimes__class_Otimes(X0,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) = c_Power_Opower__class_Opower(X0,X1,X2)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 4.65/4.89 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3670]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18036,plain,
% 4.65/4.89 ( ~ class_Groups_Omonoid__mult(X0)
% 4.65/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 4.65/4.89 | c_Groups_Otimes__class_Otimes(X0,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) = c_Power_Opower__class_Opower(X0,X2,X1) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18035]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3668,plain,
% 4.65/4.89 ( c_Power_Opower__class_Opower(X0,X1,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X2)) = c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.65/4.89 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.65/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5617_1) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18031,plain,
% 4.65/4.89 ( c_Power_Opower__class_Opower(X0,X1,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X2)) = c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.65/4.89 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.65/4.89 inference(copy,[status(esa)],[c_3668]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_18032,plain,
% 4.65/4.89 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.65/4.89 | c_Power_Opower__class_Opower(X0,X1,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X2)) = c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X2)) ),
% 4.65/4.89 inference(rewriting,[status(thm)],[c_18031]) ).
% 4.65/4.89
% 4.65/4.89 cnf(c_3659,plain,
% 4.65/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3)) = c_Power_Opower__class_Opower(X0,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
% 4.73/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 4.73/4.89 | ~ class_Fields_Ofield(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5619_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_18013,plain,
% 4.73/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3)) = c_Power_Opower__class_Opower(X0,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
% 4.73/4.89 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 4.73/4.89 | ~ class_Fields_Ofield(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3659]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_18014,plain,
% 4.73/4.89 ( ~ class_Fields_Ofield(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.73/4.89 | c_Rings_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X0,X3,X1)) = c_Power_Opower__class_Opower(X0,X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.73/4.89 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_18013]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3622,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.73/4.89 | ~ class_Fields_Olinordered__field(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2)) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5628_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17939,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.73/4.89 | ~ class_Fields_Olinordered__field(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2)) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3622]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17940,plain,
% 4.73/4.89 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17939]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3558,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.73/4.89 | ~ class_Fields_Olinordered__field(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5644_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17811,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 4.73/4.89 | ~ class_Fields_Olinordered__field(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3558]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17812,plain,
% 4.73/4.89 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X3)
% 4.73/4.89 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17811]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3566,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.73/4.89 | ~ class_Fields_Olinordered__field(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2)) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5642_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17827,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 4.73/4.89 | ~ class_Fields_Olinordered__field(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Otimes__class_Otimes(X0,X3,X2)) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3566]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17828,plain,
% 4.73/4.89 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.89 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),X3)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Otimes__class_Otimes(X0,X3,X1)) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17827]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3514,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5653_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17723,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3514]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3508,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5655_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17711,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3508]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17712,plain,
% 4.73/4.89 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17711]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3506,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5656_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17707,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3506]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17708,plain,
% 4.73/4.89 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17707]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3504,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1)))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5657_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17703,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1)))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3504]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17704,plain,
% 4.73/4.89 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17703]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3502,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5658_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17699,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3502]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17700,plain,
% 4.73/4.89 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17699]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3500,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5659_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17695,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3500]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17696,plain,
% 4.73/4.89 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17695]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3498,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)))
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5660_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17691,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)))
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3498]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17692,plain,
% 4.73/4.89 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2))) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17691]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3496,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5661_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17687,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3496]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17688,plain,
% 4.73/4.89 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17687]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3494,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5662_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17683,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3494]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17684,plain,
% 4.73/4.89 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17683]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3492,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5663_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17679,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3492]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17680,plain,
% 4.73/4.89 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17679]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3458,plain,
% 4.73/4.89 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 4.73/4.89 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5670_2) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17611,plain,
% 4.73/4.89 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 4.73/4.89 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3458]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17612,plain,
% 4.73/4.89 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.89 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 4.73/4.89 | ~ hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17611]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3456,plain,
% 4.73/4.89 ( X0 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X2))
% 4.73/4.89 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0) != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5671_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17607,plain,
% 4.73/4.89 ( X0 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X2))
% 4.73/4.89 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0) != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3456]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17608,plain,
% 4.73/4.89 ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0) != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2)
% 4.73/4.89 | X0 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X2)) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17607]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3444,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5675_2) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17583,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3444]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17584,plain,
% 4.73/4.89 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17583]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3437,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,X2)))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.73/4.89 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5677_2) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17569,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,X2)))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.73/4.89 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3437]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17570,plain,
% 4.73/4.89 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,X2)))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17569]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3428,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5680_2) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17551,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3428]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17552,plain,
% 4.73/4.89 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.73/4.89 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17551]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3425,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5681_2) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17545,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3425]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17546,plain,
% 4.73/4.89 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.73/4.89 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17545]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3416,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5684_2) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17527,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3416]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17528,plain,
% 4.73/4.89 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17527]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3413,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5685_2) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17521,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.73/4.89 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3413]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17522,plain,
% 4.73/4.89 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17521]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3411,plain,
% 4.73/4.89 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.89 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5686_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17517,plain,
% 4.73/4.89 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.89 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3411]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17518,plain,
% 4.73/4.89 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.73/4.89 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17517]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3398,plain,
% 4.73/4.89 ( 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,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Oone__class_Oone(X0))
% 4.73/4.89 | ~ class_Rings_Oring__1(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5690_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17491,plain,
% 4.73/4.89 ( 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,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Oone__class_Oone(X0))
% 4.73/4.89 | ~ class_Rings_Oring__1(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3398]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17492,plain,
% 4.73/4.89 ( ~ class_Rings_Oring__1(X0)
% 4.73/4.89 | 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,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Oone__class_Oone(X0)) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17491]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3395,plain,
% 4.73/4.89 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.89 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.89 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5691_2) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17485,plain,
% 4.73/4.89 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.89 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.89 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3395]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3393,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5692_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17481,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3393]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17482,plain,
% 4.73/4.89 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17481]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3391,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.89 | ~ 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)) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5693_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17477,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.89 | ~ 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)) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3391]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17478,plain,
% 4.73/4.89 ( ~ 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))
% 4.73/4.89 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17477]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3313,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 4.73/4.89 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5710_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17321,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 4.73/4.89 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3313]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17322,plain,
% 4.73/4.89 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17321]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3309,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.89 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5711_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17313,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.89 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3309]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17314,plain,
% 4.73/4.89 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17313]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3293,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 4.73/4.89 | ~ class_Rings_Oordered__ring(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5715_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17281,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 4.73/4.89 | ~ class_Rings_Oordered__ring(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3293]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17282,plain,
% 4.73/4.89 ( ~ class_Rings_Oordered__ring(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17281]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3289,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.89 | ~ class_Rings_Oordered__ring(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5716_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17273,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.89 | ~ class_Rings_Oordered__ring(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3289]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17274,plain,
% 4.73/4.89 ( ~ class_Rings_Oordered__ring(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17273]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3277,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 4.73/4.89 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5719_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17249,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 4.73/4.89 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3277]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17250,plain,
% 4.73/4.89 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17249]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3269,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 4.73/4.89 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5721_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17233,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 4.73/4.89 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3269]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17234,plain,
% 4.73/4.89 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17233]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3266,plain,
% 4.73/4.89 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5722_2) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17227,plain,
% 4.73/4.89 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3266]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17228,plain,
% 4.73/4.89 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0)) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17227]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3261,plain,
% 4.73/4.89 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5723_2) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17217,plain,
% 4.73/4.89 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3261]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17218,plain,
% 4.73/4.89 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0)) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17217]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3256,plain,
% 4.73/4.89 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.73/4.89 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk13_3(X2,X1,X0)) = X1
% 4.73/4.89 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5724_2) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17207,plain,
% 4.73/4.89 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.73/4.89 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk13_3(X2,X1,X0)) = X1
% 4.73/4.89 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3256]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17208,plain,
% 4.73/4.89 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 4.73/4.89 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.73/4.89 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk13_3(X2,X1,X0)) = X1 ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17207]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3253,plain,
% 4.73/4.89 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.73/4.89 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk12_3(X2,X1,X0)) = X1
% 4.73/4.89 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5725_2) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17201,plain,
% 4.73/4.89 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.73/4.89 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk12_3(X2,X1,X0)) = X1
% 4.73/4.89 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3253]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17202,plain,
% 4.73/4.89 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 4.73/4.89 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 4.73/4.89 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk12_3(X2,X1,X0)) = X1 ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17201]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3251,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Power_Opower__class_Opower(X0,X1,X2)),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2))
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5726_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17197,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Power_Opower__class_Opower(X0,X1,X2)),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2))
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3251]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17198,plain,
% 4.73/4.89 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Power_Opower__class_Opower(X0,X1,X2)),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17197]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3243,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 4.73/4.89 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5728_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17181,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 4.73/4.89 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3243]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17182,plain,
% 4.73/4.89 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X3)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Power_Opower__class_Opower(X0,X3,X1),c_Power_Opower__class_Opower(X0,X3,X2)) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17181]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3235,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3))
% 4.73/4.89 | ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5730_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17165,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3))
% 4.73/4.89 | ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3235]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17166,plain,
% 4.73/4.89 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3)
% 4.73/4.89 | c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X3,X1),c_Power_Opower__class_Opower(X0,X3,X2)) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17165]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3207,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5738_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17109,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X2))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3207]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3199,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.89 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5740_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17093,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.89 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3199]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17094,plain,
% 4.73/4.89 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.89 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17093]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3195,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.89 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5741_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17085,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.89 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3195]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17086,plain,
% 4.73/4.89 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17085]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3191,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.89 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5742_3) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17077,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.89 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3191]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17078,plain,
% 4.73/4.89 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17077]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3186,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5744_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17067,plain,
% 4.73/4.89 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),X0)
% 4.73/4.89 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3186]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17068,plain,
% 4.73/4.89 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.73/4.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),X0) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17067]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3183,plain,
% 4.73/4.89 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = c_Power_Opower__class_Opower(X0,X1,X2)
% 4.73/4.89 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.89 | ~ class_Power_Opower(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5745_2) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17061,plain,
% 4.73/4.89 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = c_Power_Opower__class_Opower(X0,X1,X2)
% 4.73/4.89 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.89 | ~ class_Power_Opower(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3183]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17062,plain,
% 4.73/4.89 ( ~ class_Power_Opower(X0)
% 4.73/4.89 | c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = c_Power_Opower__class_Opower(X0,X1,X2)
% 4.73/4.89 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17061]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3160,plain,
% 4.73/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2)) = c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 4.73/4.89 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.89 | ~ class_Fields_Ofield(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5750_2) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17015,plain,
% 4.73/4.89 ( c_Rings_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2)) = c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 4.73/4.89 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.89 | ~ class_Fields_Ofield(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3160]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_17016,plain,
% 4.73/4.89 ( ~ class_Fields_Ofield(X0)
% 4.73/4.89 | c_Rings_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2)) = c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 4.73/4.89 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_17015]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3150,plain,
% 4.73/4.89 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5754_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_16995,plain,
% 4.73/4.89 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3150]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_16996,plain,
% 4.73/4.89 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.73/4.89 | c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_16995]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3146,plain,
% 4.73/4.89 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3)) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ominus__class_Ominus(X0,X2,X3))
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5756_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_16987,plain,
% 4.73/4.89 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3)) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ominus__class_Ominus(X0,X2,X3))
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.89 inference(copy,[status(esa)],[c_3146]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_16988,plain,
% 4.73/4.89 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.73/4.89 | c_Groups_Ominus__class_Ominus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3)) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ominus__class_Ominus(X0,X2,X3)) ),
% 4.73/4.89 inference(rewriting,[status(thm)],[c_16987]) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_3142,plain,
% 4.73/4.89 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 4.73/4.89 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.89 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5758_1) ).
% 4.73/4.89
% 4.73/4.89 cnf(c_16979,plain,
% 4.73/4.89 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 4.73/4.90 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3142]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16980,plain,
% 4.73/4.90 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16979]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3138,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3)) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.90 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5760_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16971,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3)) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.90 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3138]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16972,plain,
% 4.73/4.90 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3)) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16971]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3136,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5761_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16967,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3136]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16968,plain,
% 4.73/4.90 ( ~ class_Rings_Ocomm__semiring(X0)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16967]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3134,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3)) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5762_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16963,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3)) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3134]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16964,plain,
% 4.73/4.90 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3)) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16963]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3130,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5764_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16955,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3130]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16956,plain,
% 4.73/4.90 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16955]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3128,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2)) = c_Power_Opower__class_Opower(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5765_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16951,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2)) = c_Power_Opower__class_Opower(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3128]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16952,plain,
% 4.73/4.90 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.90 | c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2)) = c_Power_Opower__class_Opower(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16951]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3126,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2)) = c_Power_Opower__class_Opower(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.73/4.90 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5766_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16947,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2)) = c_Power_Opower__class_Opower(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.73/4.90 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3126]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16948,plain,
% 4.73/4.90 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 4.73/4.90 | c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2)) = c_Power_Opower__class_Opower(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16947]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3124,plain,
% 4.73/4.90 ( c_Rings_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2)) = c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 4.73/4.90 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5767_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16943,plain,
% 4.73/4.90 ( c_Rings_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2)) = c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 4.73/4.90 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3124]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16944,plain,
% 4.73/4.90 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.73/4.90 | c_Rings_Oinverse__class_Odivide(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2)) = c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16943]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3122,plain,
% 4.73/4.90 ( 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)
% 4.73/4.90 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5768_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16939,plain,
% 4.73/4.90 ( 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)
% 4.73/4.90 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3122]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16940,plain,
% 4.73/4.90 ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.73/4.90 | 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) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16939]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3120,plain,
% 4.73/4.90 ( 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)
% 4.73/4.90 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5769_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16935,plain,
% 4.73/4.90 ( 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)
% 4.73/4.90 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3120]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16936,plain,
% 4.73/4.90 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.90 | 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) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16935]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3118,plain,
% 4.73/4.90 ( 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)
% 4.73/4.90 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5770_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16931,plain,
% 4.73/4.90 ( 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)
% 4.73/4.90 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3118]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16932,plain,
% 4.73/4.90 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.90 | 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) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16931]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3116,plain,
% 4.73/4.90 ( 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)
% 4.73/4.90 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5771_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16927,plain,
% 4.73/4.90 ( 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)
% 4.73/4.90 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3116]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16928,plain,
% 4.73/4.90 ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.73/4.90 | 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) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16927]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3114,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3)) = c_Power_Opower__class_Opower(X0,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5772_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16923,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3)) = c_Power_Opower__class_Opower(X0,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3114]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16924,plain,
% 4.73/4.90 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.90 | c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3)) = c_Power_Opower__class_Opower(X0,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16923]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3112,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3)) = c_Power_Opower__class_Opower(X0,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 4.73/4.90 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5773_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16919,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3)) = c_Power_Opower__class_Opower(X0,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 4.73/4.90 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3112]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16920,plain,
% 4.73/4.90 ( ~ class_Groups_Omonoid__mult(X0)
% 4.73/4.90 | c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X1,X3)) = c_Power_Opower__class_Opower(X0,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16919]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3100,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5777_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16895,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3100]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16896,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16895]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3097,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5778_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16889,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3097]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3091,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5780_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16877,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3091]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3088,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5781_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16871,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3088]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3082,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5783_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16859,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3082]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3078,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5785_0) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16851,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3078]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3075,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X1))
% 4.73/4.90 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5785_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16845,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X2,X1))
% 4.73/4.90 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3075]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16846,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16845]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3074,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5786_0) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16843,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3074]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3071,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5786_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16837,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3071]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16838,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16837]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3029,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5795_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16753,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3029]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16754,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16753]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3027,plain,
% 4.73/4.90 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5796_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16749,plain,
% 4.73/4.90 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3027]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16750,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.90 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16749]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3025,plain,
% 4.73/4.90 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5797_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16745,plain,
% 4.73/4.90 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3025]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16746,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.90 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16745]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3023,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),X1) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5807_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16741,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),X1) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3023]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16742,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16741]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3021,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5808_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16737,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3021]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3019,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5809_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16733,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3019]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3017,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5810_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16729,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3017]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16730,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16729]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3013,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5812_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16721,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3013]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16722,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X0) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16721]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3009,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5814_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16713,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3009]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16714,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X0) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16713]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3007,plain,
% 4.73/4.90 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5815_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16709,plain,
% 4.73/4.90 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3007]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16710,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.90 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16709]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_3004,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1))) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5816_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16703,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1))) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_3004]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16704,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)))
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16703]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2858,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5851_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16411,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2858]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16412,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16411]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2842,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.73/4.90 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5855_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16379,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.73/4.90 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2842]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16380,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16379]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2838,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5856_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16371,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2838]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16372,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16371]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2834,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5857_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16363,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2834]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16364,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16363]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2826,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5859_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16347,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2826]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16348,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16347]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2822,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5860_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16339,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2822]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16340,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16339]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2802,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5865_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16299,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2802]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16300,plain,
% 4.73/4.90 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16299]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2774,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Rings_Oordered__cancel__semiring(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5872_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16243,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Rings_Oordered__cancel__semiring(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2774]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16244,plain,
% 4.73/4.90 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16243]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2770,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Rings_Oordered__cancel__semiring(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5873_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16235,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Rings_Oordered__cancel__semiring(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2770]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16236,plain,
% 4.73/4.90 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16235]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2778,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ class_Rings_Oordered__ring(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5871_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16251,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ class_Rings_Oordered__ring(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2778]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16252,plain,
% 4.73/4.90 ( ~ class_Rings_Oordered__ring(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16251]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2762,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5875_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16219,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2762]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16220,plain,
% 4.73/4.90 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16219]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2754,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5877_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16203,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2754]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16204,plain,
% 4.73/4.90 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16203]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2750,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5878_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16195,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2750]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16196,plain,
% 4.73/4.90 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16195]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2746,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5879_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16187,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2746]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16188,plain,
% 4.73/4.90 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16187]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2742,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5880_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16179,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2742]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16180,plain,
% 4.73/4.90 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16179]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2738,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5881_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16171,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2738]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16172,plain,
% 4.73/4.90 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16171]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2734,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5882_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16163,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2734]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16164,plain,
% 4.73/4.90 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16163]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2726,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5884_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16147,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2726]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16148,plain,
% 4.73/4.90 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16147]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2722,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5885_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16139,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2722]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16140,plain,
% 4.73/4.90 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16139]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2682,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5895_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16059,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2682]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16060,plain,
% 4.73/4.90 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16059]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2673,plain,
% 4.73/4.90 ( ~ 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))
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5899_0) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16041,plain,
% 4.73/4.90 ( ~ 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))
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2673]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2671,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 4.73/4.90 | ~ 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)) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5899_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16037,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 4.73/4.90 | ~ 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)) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2671]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16038,plain,
% 4.73/4.90 ( ~ 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))
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16037]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2668,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5900_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16031,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2668]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16032,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16031]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2665,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5901_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16025,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2665]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16026,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16025]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2656,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.90 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5904_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16007,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.90 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2656]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16008,plain,
% 4.73/4.90 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16007]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2653,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.73/4.90 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5905_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16001,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.73/4.90 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2653]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_16002,plain,
% 4.73/4.90 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_16001]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2644,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.90 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5908_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15983,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.90 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2644]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15984,plain,
% 4.73/4.90 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15983]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2641,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.73/4.90 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5909_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15977,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.73/4.90 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2641]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15978,plain,
% 4.73/4.90 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15977]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2615,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5915_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15925,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2615]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2604,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5918_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15903,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2604]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15904,plain,
% 4.73/4.90 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15903]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2600,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5919_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15895,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2600]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15896,plain,
% 4.73/4.90 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oplus__class_Oplus(X0,X3,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15895]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2596,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5920_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15887,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2596]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15888,plain,
% 4.73/4.90 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15887]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2592,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5921_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15879,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2592]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15880,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15879]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2586,plain,
% 4.73/4.90 ( c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1),X2) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.90 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5923_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15867,plain,
% 4.73/4.90 ( c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1),X2) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.90 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2586]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15868,plain,
% 4.73/4.90 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.73/4.90 | c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1),X2) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X0,X1,X2)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15867]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2584,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5924_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15863,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2584]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2582,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5925_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15859,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2582]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2580,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5926_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15855,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2580]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2578,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5927_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15851,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2578]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2576,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5928_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15847,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2576]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2574,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5929_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15843,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2574]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2572,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5930_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15839,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2572]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2570,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5931_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15835,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2570]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2568,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5932_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15831,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2568]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2566,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5933_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15827,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2566]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2564,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5934_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15823,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2564]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2558,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X2) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)),X2)
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5936_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15811,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X2) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)),X2)
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2558]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15812,plain,
% 4.73/4.90 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X2) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)),X2) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15811]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2556,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X1)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oone__class_Oone(X0)),X1)
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5937_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15807,plain,
% 4.73/4.90 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X1)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oone__class_Oone(X0)),X1)
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2556]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15808,plain,
% 4.73/4.90 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X1)) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oone__class_Oone(X0)),X1) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15807]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2554,plain,
% 4.73/4.90 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))
% 4.73/4.90 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5938_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15803,plain,
% 4.73/4.90 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))
% 4.73/4.90 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2554]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15804,plain,
% 4.73/4.90 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.90 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15803]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2551,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5939_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15797,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2551]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2542,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5942_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15779,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2542]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2539,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5943_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15773,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2539]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2536,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5944_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15767,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2536]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2529,plain,
% 4.73/4.90 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X3)
% 4.73/4.90 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.90 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5946_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15753,plain,
% 4.73/4.90 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X3)
% 4.73/4.90 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.90 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2529]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15754,plain,
% 4.73/4.90 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.73/4.90 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X3)
% 4.73/4.90 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15753]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2526,plain,
% 4.73/4.90 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3)) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.73/4.90 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.90 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5947_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15747,plain,
% 4.73/4.90 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3)) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.73/4.90 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.90 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2526]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15748,plain,
% 4.73/4.90 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.73/4.90 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),c_Groups_Otimes__class_Otimes(X0,X1,X3)) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 4.73/4.90 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15747]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2524,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5948_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15743,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2524]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15744,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15743]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2503,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.73/4.90 | ~ class_Groups_Oab__semigroup__mult(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5955_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15701,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.73/4.90 | ~ class_Groups_Oab__semigroup__mult(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2503]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15702,plain,
% 4.73/4.90 ( ~ class_Groups_Oab__semigroup__mult(X0)
% 4.73/4.90 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15701]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2501,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.73/4.90 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5956_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15697,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3)
% 4.73/4.90 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2501]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15698,plain,
% 4.73/4.90 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.90 | c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15697]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2499,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5957_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15693,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2)
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2499]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15694,plain,
% 4.73/4.90 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.90 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X3),X2) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15693]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2495,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5959_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15685,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3))
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2495]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15686,plain,
% 4.73/4.90 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.90 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2),X3) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15685]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2493,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)) = c_Groups_Otimes__class_Otimes(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5960_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15681,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)) = c_Groups_Otimes__class_Otimes(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3))
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2493]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15682,plain,
% 4.73/4.90 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.90 | c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Otimes__class_Otimes(X0,X2,X3)) = c_Groups_Otimes__class_Otimes(X0,X2,c_Groups_Otimes__class_Otimes(X0,X1,X3)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15681]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2491,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X1) = c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.90 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5961_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15677,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X1) = c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.90 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2491]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15678,plain,
% 4.73/4.90 ( ~ class_Groups_Omonoid__mult(X0)
% 4.73/4.90 | c_Groups_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X1) = c_Groups_Otimes__class_Otimes(X0,X1,c_Power_Opower__class_Opower(X0,X1,X2)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15677]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2489,plain,
% 4.73/4.90 ( 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)
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5962_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15673,plain,
% 4.73/4.90 ( 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)
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2489]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15674,plain,
% 4.73/4.90 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.90 | 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) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15673]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2485,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5964_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15665,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2485]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15666,plain,
% 4.73/4.90 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.90 | 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)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15665]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2483,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5965_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15661,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2483]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15662,plain,
% 4.73/4.90 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.90 | 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)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15661]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2481,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ class_Groups_Oab__semigroup__add(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5966_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15657,plain,
% 4.73/4.90 ( 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))
% 4.73/4.90 | ~ class_Groups_Oab__semigroup__add(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2481]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15658,plain,
% 4.73/4.90 ( ~ class_Groups_Oab__semigroup__add(X0)
% 4.73/4.90 | 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)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15657]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2479,plain,
% 4.73/4.90 ( c_Power_Opower__class_Opower(X0,c_Power_Opower__class_Opower(X0,X1,X2),X3) = c_Power_Opower__class_Opower(X0,X1,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X3))
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5968_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15653,plain,
% 4.73/4.90 ( c_Power_Opower__class_Opower(X0,c_Power_Opower__class_Opower(X0,X1,X2),X3) = c_Power_Opower__class_Opower(X0,X1,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X3))
% 4.73/4.90 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2479]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15654,plain,
% 4.73/4.90 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.90 | c_Power_Opower__class_Opower(X0,c_Power_Opower__class_Opower(X0,X1,X2),X3) = c_Power_Opower__class_Opower(X0,X1,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X3)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15653]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2477,plain,
% 4.73/4.90 ( c_Power_Opower__class_Opower(X0,c_Power_Opower__class_Opower(X0,X1,X2),X3) = c_Power_Opower__class_Opower(X0,X1,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X3))
% 4.73/4.90 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5969_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15649,plain,
% 4.73/4.90 ( c_Power_Opower__class_Opower(X0,c_Power_Opower__class_Opower(X0,X1,X2),X3) = c_Power_Opower__class_Opower(X0,X1,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X3))
% 4.73/4.90 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2477]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15650,plain,
% 4.73/4.90 ( ~ class_Groups_Omonoid__mult(X0)
% 4.73/4.90 | c_Power_Opower__class_Opower(X0,c_Power_Opower__class_Opower(X0,X1,X2),X3) = c_Power_Opower__class_Opower(X0,X1,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X3)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15649]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2457,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.90 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5974_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15609,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.90 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2457]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15610,plain,
% 4.73/4.90 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15609]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2453,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.90 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5975_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15601,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.90 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2453]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15602,plain,
% 4.73/4.90 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15601]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2445,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.90 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5977_3) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15585,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X2),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.90 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2445]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15586,plain,
% 4.73/4.90 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.90 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15585]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2437,plain,
% 4.73/4.90 ( c_Groups_Oabs__class_Oabs(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.73/4.90 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5980_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15569,plain,
% 4.73/4.90 ( c_Groups_Oabs__class_Oabs(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.73/4.90 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2437]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15570,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.90 | c_Groups_Oabs__class_Oabs(X0,c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15569]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2419,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5985_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15533,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2419]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2411,plain,
% 4.73/4.90 ( X0 = X1
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.90 | ~ 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))) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6000_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15517,plain,
% 4.73/4.90 ( X0 = X1
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.90 | ~ 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))) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2411]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15518,plain,
% 4.73/4.90 ( ~ 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)))
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.90 | X0 = X1 ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15517]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2405,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.90 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,X1)) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6002_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15505,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.90 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,X1)) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2405]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15506,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,X1))
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.90 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15505]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2403,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6003_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15501,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2403]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15502,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15501]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2401,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.90 | ~ 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))) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6004_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15497,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.90 | ~ 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))) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2401]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2399,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6005_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15493,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2399]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15494,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15493]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2397,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.90 | ~ 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)) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6006_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15489,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.90 | ~ 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)) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2397]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15490,plain,
% 4.73/4.90 ( ~ 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))
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15489]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2395,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6007_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15485,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2395]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15486,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15485]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2390,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6009_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15475,plain,
% 4.73/4.90 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2390]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15476,plain,
% 4.73/4.90 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X2),X1) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X2,X1)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15475]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2387,plain,
% 4.73/4.90 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6010_2) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15469,plain,
% 4.73/4.90 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 4.73/4.90 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2387]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15470,plain,
% 4.73/4.90 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.90 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oabs__class_Oabs(X0,X2),X1) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15469]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2385,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6011_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15465,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 4.73/4.90 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2385]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2378,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6014_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15451,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2378]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15452,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15451]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2376,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),X1) ),
% 4.73/4.90 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6015_1) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15447,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),X1) ),
% 4.73/4.90 inference(copy,[status(esa)],[c_2376]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_15448,plain,
% 4.73/4.90 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 4.73/4.90 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 4.73/4.90 inference(rewriting,[status(thm)],[c_15447]) ).
% 4.73/4.90
% 4.73/4.90 cnf(c_2374,plain,
% 4.73/4.90 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6016_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15443,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2374]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15444,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15443]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2334,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6025_3) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15363,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2334]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15364,plain,
% 4.73/4.91 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Rings_Oinverse__class_Oinverse(X0,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15363]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2325,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6028_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15345,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2325]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2318,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6030_3) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15331,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2318]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15332,plain,
% 4.73/4.91 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15331]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2310,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6032_3) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15315,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2310]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15316,plain,
% 4.73/4.91 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15315]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2304,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(X1))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6034_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15303,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(X1))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2304]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15304,plain,
% 4.73/4.91 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(X1)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15303]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2302,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1)),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(X1))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6035_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15299,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1)),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(X1))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2302]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15300,plain,
% 4.73/4.91 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X0,X1)),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(X1)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15299]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2291,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.91 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.91 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6038_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15277,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.91 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.91 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2291]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2288,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6039_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15271,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2288]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15272,plain,
% 4.73/4.91 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15271]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2280,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | ~ class_Rings_Olinordered__ring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6041_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15255,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | ~ class_Rings_Olinordered__ring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2280]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15256,plain,
% 4.73/4.91 ( ~ class_Rings_Olinordered__ring(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15255]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2277,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.73/4.91 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6042_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15249,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 4.73/4.91 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2277]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15250,plain,
% 4.73/4.91 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15249]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2274,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.91 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6043_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15243,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.91 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2274]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15244,plain,
% 4.73/4.91 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15243]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2271,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.91 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6044_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15237,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.91 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2271]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15238,plain,
% 4.73/4.91 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15237]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2254,plain,
% 4.73/4.91 ( c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),X1)
% 4.73/4.91 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6050_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15203,plain,
% 4.73/4.91 ( c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),X1)
% 4.73/4.91 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2254]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15204,plain,
% 4.73/4.91 ( ~ class_Groups_Omonoid__mult(X0)
% 4.73/4.91 | c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(X0,c_Groups_Otimes__class_Otimes(X0,X1,X1),X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15203]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2252,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.73/4.91 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6051_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15199,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 4.73/4.91 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2252]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15200,plain,
% 4.73/4.91 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15199]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2234,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,c_Int_Onumber__class_Onumber__of(X0,X1)),X2) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),X2)
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6056_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15163,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,c_Int_Onumber__class_Onumber__of(X0,X1)),X2) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),X2)
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2234]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15164,plain,
% 4.73/4.91 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,c_Int_Onumber__class_Onumber__of(X0,X1)),X2) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),X2) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15163]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2231,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6057_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15157,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2231]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15158,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15157]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2219,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6061_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15133,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2219]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2214,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0))
% 4.73/4.91 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6064_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15123,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0))
% 4.73/4.91 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2214]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2203,plain,
% 4.73/4.91 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))
% 4.73/4.91 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6070_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15101,plain,
% 4.73/4.91 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))
% 4.73/4.91 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2203]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15102,plain,
% 4.73/4.91 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.73/4.91 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15101]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2201,plain,
% 4.73/4.91 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))
% 4.73/4.91 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6071_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15097,plain,
% 4.73/4.91 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))
% 4.73/4.91 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2201]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15098,plain,
% 4.73/4.91 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.91 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15097]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2197,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6073_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15089,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2197]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2193,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6075_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15081,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2193]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2191,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6076_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15077,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2191]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2188,plain,
% 4.73/4.91 ( c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.73/4.91 | ~ class_Int_Onumber(X0)
% 4.73/4.91 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6077_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15071,plain,
% 4.73/4.91 ( c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.73/4.91 | ~ class_Int_Onumber(X0)
% 4.73/4.91 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2188]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15072,plain,
% 4.73/4.91 ( ~ class_Groups_Omonoid__mult(X0)
% 4.73/4.91 | ~ class_Int_Onumber(X0)
% 4.73/4.91 | c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15071]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2186,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = 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)
% 4.73/4.91 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6078_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15067,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = 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)
% 4.73/4.91 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2186]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15068,plain,
% 4.73/4.91 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X0,X1,X1) = 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) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15067]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2184,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6079_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15063,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2184]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2182,plain,
% 4.73/4.91 ( 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)))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6080_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15059,plain,
% 4.73/4.91 ( 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)))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2182]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15060,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | 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))) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15059]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2178,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6082_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15051,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2178]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2176,plain,
% 4.73/4.91 ( 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)))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6083_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15047,plain,
% 4.73/4.91 ( 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)))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2176]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2172,plain,
% 4.73/4.91 ( 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,c_Groups_Otimes__class_Otimes(X0,X2,X1))
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6086_3) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15039,plain,
% 4.73/4.91 ( 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,c_Groups_Otimes__class_Otimes(X0,X2,X1))
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2172]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15040,plain,
% 4.73/4.91 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.91 | 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,c_Groups_Otimes__class_Otimes(X0,X2,X1))
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_15039]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2170,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6087_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15035,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2170]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2167,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6088_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15029,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2167]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2165,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6089_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_15025,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2165]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2141,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1) = X0
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6095_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14977,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1) = X0
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2141]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14978,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X0) = X1 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14977]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2139,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6096_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14973,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2139]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14974,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14973]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2137,plain,
% 4.73/4.91 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X1
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6097_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14969,plain,
% 4.73/4.91 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X1
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2137]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14970,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X0 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14969]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2131,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6100_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14957,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2131]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2129,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6101_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14953,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2129]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2123,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6104_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14941,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2123]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2121,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6105_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14937,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2121]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2119,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6106_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14933,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2119]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2110,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X3,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X0),X1,X3)
% 4.73/4.91 | ~ class_Orderings_Oord(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6109_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14915,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X3,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X0),X1,X3)
% 4.73/4.91 | ~ class_Orderings_Oord(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2110]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14916,plain,
% 4.73/4.91 ( ~ class_Orderings_Oord(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X2,X4),hAPP(X3,X4)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14915]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2094,plain,
% 4.73/4.91 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.91 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6113_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14883,plain,
% 4.73/4.91 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.91 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2094]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14884,plain,
% 4.73/4.91 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.91 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.91 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14883]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2092,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(X1))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6114_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14879,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(X1))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2092]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14880,plain,
% 4.73/4.91 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(X1)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14879]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2089,plain,
% 4.73/4.91 ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.91 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6115_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14873,plain,
% 4.73/4.91 ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.91 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2089]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14874,plain,
% 4.73/4.91 ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.73/4.91 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.91 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14873]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2087,plain,
% 4.73/4.91 ( c_Power_Opower__class_Opower(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.73/4.91 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6116_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14869,plain,
% 4.73/4.91 ( c_Power_Opower__class_Opower(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.73/4.91 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2087]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14870,plain,
% 4.73/4.91 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.91 | c_Power_Opower__class_Opower(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14869]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2067,plain,
% 4.73/4.91 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6122_0) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14829,plain,
% 4.73/4.91 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2067]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2064,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.91 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6122_3) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14823,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.91 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2064]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14824,plain,
% 4.73/4.91 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14823]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2063,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6123_0) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14821,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2063]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2060,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.91 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6123_3) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14815,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.91 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2060]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14816,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14815]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2059,plain,
% 4.73/4.91 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6124_0) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14813,plain,
% 4.73/4.91 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2059]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2058,plain,
% 4.73/4.91 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6124_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14811,plain,
% 4.73/4.91 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2058]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2056,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.91 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6124_3) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14807,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.91 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2056]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14808,plain,
% 4.73/4.91 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14807]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2055,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6125_0) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14805,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2055]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2054,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6125_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14803,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2054]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2052,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.91 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6125_3) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14799,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.91 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2052]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14800,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14799]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2051,plain,
% 4.73/4.91 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6126_0) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14797,plain,
% 4.73/4.91 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2051]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2050,plain,
% 4.73/4.91 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6126_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14795,plain,
% 4.73/4.91 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2050]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2048,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.91 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6126_3) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14791,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.91 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2048]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14792,plain,
% 4.73/4.91 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14791]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2047,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6127_0) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14789,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2047]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2046,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6127_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14787,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2046]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2044,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.91 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6127_3) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14783,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.91 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2044]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14784,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14783]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2042,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ class_Groups_Oab__group__add(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6128_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14779,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ class_Groups_Oab__group__add(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2042]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14780,plain,
% 4.73/4.91 ( ~ class_Groups_Oab__group__add(X0)
% 4.73/4.91 | 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)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14779]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2040,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6129_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14775,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2040]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14776,plain,
% 4.73/4.91 ( ~ class_Groups_Ogroup__add(X0)
% 4.73/4.91 | 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)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14775]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2038,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.91 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6130_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14771,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.91 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2038]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14772,plain,
% 4.73/4.91 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14771]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2036,plain,
% 4.73/4.91 ( 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,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.91 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6131_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14767,plain,
% 4.73/4.91 ( 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,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.91 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2036]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14768,plain,
% 4.73/4.91 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.73/4.91 | 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,c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14767]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2034,plain,
% 4.73/4.91 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.91 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6132_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14763,plain,
% 4.73/4.91 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 4.73/4.91 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2034]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14764,plain,
% 4.73/4.91 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.73/4.91 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14763]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2032,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.91 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6133_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14759,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.91 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2032]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14760,plain,
% 4.73/4.91 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14759]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2018,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1,X2))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6137_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14731,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1,X2))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2018]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14732,plain,
% 4.73/4.91 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1,X2)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14731]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2014,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6139_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14723,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2014]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14724,plain,
% 4.73/4.91 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14723]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2012,plain,
% 4.73/4.91 ( c_Groups_Ominus__class_Ominus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6140_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14719,plain,
% 4.73/4.91 ( c_Groups_Ominus__class_Ominus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2012]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14720,plain,
% 4.73/4.91 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.91 | c_Groups_Ominus__class_Ominus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X0,X2)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14719]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_2004,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)))
% 4.73/4.91 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6143_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14703,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)))
% 4.73/4.91 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_2004]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1998,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2))
% 4.73/4.91 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6145_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14691,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2))
% 4.73/4.91 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1998]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14692,plain,
% 4.73/4.91 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14691]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1996,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.73/4.91 | c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != X0 ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6146_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14687,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.73/4.91 | c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != X0 ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1996]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1988,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)) = X2
% 4.73/4.91 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6149_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14671,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)) = X2
% 4.73/4.91 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1988]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14672,plain,
% 4.73/4.91 ( ~ class_Groups_Ogroup__add(X0)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)) = X2 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14671]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1987,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6150_0) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14669,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1987]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1986,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6150_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14667,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1986]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1985,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6150_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14665,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1985]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1984,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6151_0) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14663,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1984]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1983,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6151_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14661,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1983]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1982,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6151_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14659,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1982]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1981,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6152_0) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14657,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1981]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1980,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6152_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14655,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1980]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1979,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6152_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14653,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1979]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1973,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OBit1(c_Int_OPls)))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6155_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14641,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OBit1(c_Int_OPls)))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1973]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14642,plain,
% 4.73/4.91 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,X1),c_Groups_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OBit1(c_Int_OPls))) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14641]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1971,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X1))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6156_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14637,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X1))
% 4.73/4.91 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1971]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14638,plain,
% 4.73/4.91 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X1)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14637]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1923,plain,
% 4.73/4.91 ( c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),X2) = c_Rings_Oinverse__class_Oinverse(X0,c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6174_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14541,plain,
% 4.73/4.91 ( c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),X2) = c_Rings_Oinverse__class_Oinverse(X0,c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1923]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14542,plain,
% 4.73/4.91 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.91 | c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),X2) = c_Rings_Oinverse__class_Oinverse(X0,c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14541]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1919,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 4.73/4.91 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6177_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14533,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 4.73/4.91 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1919]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14534,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X0 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14533]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1915,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6178_3) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14525,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1915]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14526,plain,
% 4.73/4.91 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14525]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1911,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6179_3) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14517,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1911]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14518,plain,
% 4.73/4.91 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14517]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1897,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6183_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14489,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1897]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1895,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1)) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6184_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14485,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1)) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1895]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14486,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1))
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14485]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1893,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1)) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6185_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14481,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1)) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1893]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14482,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1))
% 4.73/4.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14481]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1891,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6186_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14477,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1891]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14478,plain,
% 4.73/4.91 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.91 | 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)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14477]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1889,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6187_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14473,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1889]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14474,plain,
% 4.73/4.91 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.73/4.91 | 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)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14473]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1887,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6188_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14469,plain,
% 4.73/4.91 ( 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))
% 4.73/4.91 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1887]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14470,plain,
% 4.73/4.91 ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.73/4.91 | 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)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14469]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1883,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.91 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6190_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14461,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.91 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1883]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14462,plain,
% 4.73/4.91 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14461]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1879,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.91 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6192_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14453,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.91 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1879]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14454,plain,
% 4.73/4.91 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14453]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1877,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.91 | ~ class_Rings_Oring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6193_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14449,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.91 | ~ class_Rings_Oring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1877]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14450,plain,
% 4.73/4.91 ( ~ class_Rings_Oring(X0)
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14449]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1875,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.91 | ~ class_Rings_Oring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6194_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14445,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2))
% 4.73/4.91 | ~ class_Rings_Oring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1875]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14446,plain,
% 4.73/4.91 ( ~ class_Rings_Oring(X0)
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Otimes__class_Otimes(X0,X1,X2)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14445]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1873,plain,
% 4.73/4.91 ( c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),X2) = c_Rings_Oinverse__class_Oinverse(X0,c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6195_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14441,plain,
% 4.73/4.91 ( c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),X2) = c_Rings_Oinverse__class_Oinverse(X0,c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1873]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14442,plain,
% 4.73/4.91 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.73/4.91 | c_Power_Opower__class_Opower(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),X2) = c_Rings_Oinverse__class_Oinverse(X0,c_Power_Opower__class_Opower(X0,X1,X2)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14441]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1871,plain,
% 4.73/4.91 ( c_Power_Opower__class_Opower(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) = c_Groups_Oabs__class_Oabs(X0,c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6196_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14437,plain,
% 4.73/4.91 ( c_Power_Opower__class_Opower(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) = c_Groups_Oabs__class_Oabs(X0,c_Power_Opower__class_Opower(X0,X1,X2))
% 4.73/4.91 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1871]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14438,plain,
% 4.73/4.91 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.91 | c_Power_Opower__class_Opower(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) = c_Groups_Oabs__class_Oabs(X0,c_Power_Opower__class_Opower(X0,X1,X2)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14437]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1869,plain,
% 4.73/4.91 ( c_SEQ_Osubseq(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,sk1_esk7_1(X0)),hAPP(X0,sk1_esk8_1(X0))) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6197_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14433,plain,
% 4.73/4.91 ( c_SEQ_Osubseq(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,sk1_esk7_1(X0)),hAPP(X0,sk1_esk8_1(X0))) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1869]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1851,plain,
% 4.73/4.91 ( c_RealVector_Onorm__class_Onorm(X0,c_Power_Opower__class_Opower(X0,X1,X2)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 4.73/4.91 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6202_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14397,plain,
% 4.73/4.91 ( c_RealVector_Onorm__class_Onorm(X0,c_Power_Opower__class_Opower(X0,X1,X2)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 4.73/4.91 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1851]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14398,plain,
% 4.73/4.91 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.73/4.91 | c_RealVector_Onorm__class_Onorm(X0,c_Power_Opower__class_Opower(X0,X1,X2)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14397]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1790,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.73/4.91 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6221_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14275,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.73/4.91 | ~ class_Groups_Oordered__ab__group__add(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1790]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14276,plain,
% 4.73/4.91 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14275]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1788,plain,
% 4.73/4.91 ( 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)))
% 4.73/4.91 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6222_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14271,plain,
% 4.73/4.91 ( 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)))
% 4.73/4.91 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1788]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14272,plain,
% 4.73/4.91 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.91 | 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))) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14271]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1785,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 4.73/4.91 | ~ c_SEQ_Osubseq(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6223_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14265,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 4.73/4.91 | ~ c_SEQ_Osubseq(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1785]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14266,plain,
% 4.73/4.91 ( ~ c_SEQ_Osubseq(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,X2))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14265]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1781,plain,
% 4.73/4.91 ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X0
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6225_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14257,plain,
% 4.73/4.91 ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X0
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1781]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14258,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.73/4.91 | c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X0 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14257]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1775,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Oplus__class_Oplus(X0,X1,X2)) = X2
% 4.73/4.91 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6227_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14245,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Oplus__class_Oplus(X0,X1,X2)) = X2
% 4.73/4.91 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1775]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14246,plain,
% 4.73/4.91 ( ~ class_Groups_Ogroup__add(X0)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Oplus__class_Oplus(X0,X1,X2)) = X2 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14245]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1773,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6228_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14241,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1773]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14242,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14241]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1748,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6236_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14191,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1748]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14192,plain,
% 4.73/4.91 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14191]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1745,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6237_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14185,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1745]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14186,plain,
% 4.73/4.91 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14185]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1720,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 4.73/4.91 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6244_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14135,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 4.73/4.91 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1720]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14136,plain,
% 4.73/4.91 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14135]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1708,plain,
% 4.73/4.91 ( ~ class_Orderings_Olinorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | X1 != X2 ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6247_3) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14111,plain,
% 4.73/4.91 ( ~ class_Orderings_Olinorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | X1 != X2 ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1708]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1706,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6248_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14107,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1706]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14108,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14107]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1704,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6249_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14103,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1704]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1702,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6250_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14099,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1702]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1684,plain,
% 4.73/4.91 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1)
% 4.73/4.91 | ~ class_Groups_Oab__group__add(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6255_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14063,plain,
% 4.73/4.91 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1)
% 4.73/4.91 | ~ class_Groups_Oab__group__add(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1684]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14064,plain,
% 4.73/4.91 ( ~ class_Groups_Oab__group__add(X0)
% 4.73/4.91 | c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14063]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1682,plain,
% 4.73/4.91 ( c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)) = c_Rings_Oinverse__class_Odivide(X0,X2,X1)
% 4.73/4.91 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6256_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14059,plain,
% 4.73/4.91 ( c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)) = c_Rings_Oinverse__class_Odivide(X0,X2,X1)
% 4.73/4.91 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1682]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14060,plain,
% 4.73/4.91 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.73/4.91 | c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)) = c_Rings_Oinverse__class_Odivide(X0,X2,X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14059]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1666,plain,
% 4.73/4.91 ( X0 = X1
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 4.73/4.91 | ~ class_Orderings_Oorder(X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6260_3) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14027,plain,
% 4.73/4.91 ( X0 = X1
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 4.73/4.91 | ~ class_Orderings_Oorder(X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1666]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14028,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.73/4.91 | X1 = X2 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14027]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1668,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | X2 = X1
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6260_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14031,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | X2 = X1
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1668]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14032,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.73/4.91 | X2 = X1 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14031]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1664,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)))
% 4.73/4.91 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6261_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14023,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)))
% 4.73/4.91 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1664]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_14024,plain,
% 4.73/4.91 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_14023]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1649,plain,
% 4.73/4.91 ( X0 = X1
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1)
% 4.73/4.91 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6265_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13993,plain,
% 4.73/4.91 ( X0 = X1
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1)
% 4.73/4.91 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1649]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13994,plain,
% 4.73/4.91 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 4.73/4.91 | X2 = X3 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13993]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1646,plain,
% 4.73/4.91 ( X0 = X1
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1)
% 4.73/4.91 | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6266_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13987,plain,
% 4.73/4.91 ( X0 = X1
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1)
% 4.73/4.91 | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1646]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13988,plain,
% 4.73/4.91 ( ~ class_Groups_Ocancel__ab__semigroup__add(X0)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 4.73/4.91 | X2 = X3 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13987]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1643,plain,
% 4.73/4.91 ( X0 = X1
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X2,X0,X3) != c_Groups_Oplus__class_Oplus(X2,X1,X3)
% 4.73/4.91 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6267_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13981,plain,
% 4.73/4.91 ( X0 = X1
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X2,X0,X3) != c_Groups_Oplus__class_Oplus(X2,X1,X3)
% 4.73/4.91 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1643]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13982,plain,
% 4.73/4.91 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 4.73/4.91 | X1 = X3 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13981]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1641,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6268_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13977,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1))
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1641]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13978,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13977]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1629,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.73/4.91 | ~ class_Orderings_Olinorder(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6272_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13953,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.73/4.91 | ~ class_Orderings_Olinorder(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1629]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13954,plain,
% 4.73/4.91 ( ~ class_Orderings_Olinorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13953]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1626,plain,
% 4.73/4.91 ( ~ class_Orderings_Olinorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6273_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13947,plain,
% 4.73/4.91 ( ~ class_Orderings_Olinorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1626]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1614,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.73/4.91 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6277_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13923,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.73/4.91 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1614]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13924,plain,
% 4.73/4.91 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13923]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1611,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.73/4.91 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6278_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13917,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.73/4.91 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1611]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13918,plain,
% 4.73/4.91 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13917]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1606,plain,
% 4.73/4.91 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.91 | X0 = X1
% 4.73/4.91 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6280_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13907,plain,
% 4.73/4.91 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.91 | X0 = X1
% 4.73/4.91 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1606]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13908,plain,
% 4.73/4.91 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.91 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.91 | X0 = X1 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13907]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1593,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0)) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6283_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13881,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0)) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1593]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1591,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X1))
% 4.73/4.91 | ~ class_Rings_Olinordered__ring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6284_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13877,plain,
% 4.73/4.91 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X1))
% 4.73/4.91 | ~ class_Rings_Olinordered__ring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1591]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13878,plain,
% 4.73/4.91 ( ~ class_Rings_Olinordered__ring(X0)
% 4.73/4.91 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Otimes__class_Otimes(X0,X1,X1)) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13877]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1588,plain,
% 4.73/4.91 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.91 | X1 = X2
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X1,X0) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6297_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13871,plain,
% 4.73/4.91 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.91 | X1 = X2
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X1,X0) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1588]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13872,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X1)
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.91 | X0 = X2 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13871]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1585,plain,
% 4.73/4.91 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.91 | X1 = X2
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6298_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13865,plain,
% 4.73/4.91 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.91 | X1 = X2
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1585]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13866,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X2)
% 4.73/4.91 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.91 | X1 = X2 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13865]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1582,plain,
% 4.73/4.91 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.91 | X1 = X2
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X0) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6299_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13859,plain,
% 4.73/4.91 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.91 | X1 = X2
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X0) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1582]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13860,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1)
% 4.73/4.91 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.91 | X0 = X2 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13859]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1579,plain,
% 4.73/4.91 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.91 | X1 = X2
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6300_2) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13853,plain,
% 4.73/4.91 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.91 | X1 = X2
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1579]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13854,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X2)
% 4.73/4.91 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.91 | X1 = X2 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13853]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1577,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | X0 = X1
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6301_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13849,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | X0 = X1
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1577]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13850,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 4.73/4.91 | X0 = X1 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13849]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1574,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.91 | X0 = X1
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6302_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13843,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.91 | X0 = X1
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1574]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13844,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
% 4.73/4.91 | X0 = X1 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13843]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1571,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | X0 = X1
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6303_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13837,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | X0 = X1
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1571]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13838,plain,
% 4.73/4.91 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.91 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 4.73/4.91 | X0 = X1 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13837]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1568,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1
% 4.73/4.91 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6304_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13831,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1
% 4.73/4.91 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1568]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13832,plain,
% 4.73/4.91 ( ~ class_Groups_Ogroup__add(X0)
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13831]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1566,plain,
% 4.73/4.91 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1
% 4.73/4.91 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6305_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13827,plain,
% 4.73/4.91 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1
% 4.73/4.91 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1566]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13828,plain,
% 4.73/4.91 ( ~ class_Groups_Ogroup__add(X0)
% 4.73/4.91 | c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13827]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1564,plain,
% 4.73/4.91 ( X0 = X1
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6306_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13823,plain,
% 4.73/4.91 ( X0 = X1
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1564]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13824,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 4.73/4.91 | X1 = X2 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13823]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1562,plain,
% 4.73/4.91 ( X0 = X1
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6307_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13819,plain,
% 4.73/4.91 ( X0 = X1
% 4.73/4.91 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1562]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13820,plain,
% 4.73/4.91 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 4.73/4.91 | X0 = X2 ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13819]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1560,plain,
% 4.73/4.91 ( 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)
% 4.73/4.91 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6308_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13815,plain,
% 4.73/4.91 ( 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)
% 4.73/4.91 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1560]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13816,plain,
% 4.73/4.91 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.73/4.91 | 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) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13815]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1558,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Otimes__class_Otimes(X0,X1,X2)
% 4.73/4.91 | ~ class_Rings_Oring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6309_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13811,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Otimes__class_Otimes(X0,X1,X2)
% 4.73/4.91 | ~ class_Rings_Oring(X0) ),
% 4.73/4.91 inference(copy,[status(esa)],[c_1558]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13812,plain,
% 4.73/4.91 ( ~ class_Rings_Oring(X0)
% 4.73/4.91 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Otimes__class_Otimes(X0,X1,X2) ),
% 4.73/4.91 inference(rewriting,[status(thm)],[c_13811]) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_1556,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.73/4.91 | ~ class_Rings_Oring(X0) ),
% 4.73/4.91 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6310_1) ).
% 4.73/4.91
% 4.73/4.91 cnf(c_13807,plain,
% 4.73/4.91 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 4.73/4.92 | ~ class_Rings_Oring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1556]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13808,plain,
% 4.73/4.92 ( ~ class_Rings_Oring(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13807]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1554,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Otimes__class_Otimes(X0,X1,X1)
% 4.73/4.92 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6311_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13803,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Otimes__class_Otimes(X0,X1,X1)
% 4.73/4.92 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1554]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13804,plain,
% 4.73/4.92 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Otimes__class_Otimes(X0,X1,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13803]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1552,plain,
% 4.73/4.92 ( 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)))
% 4.73/4.92 | X0 != X1 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6315_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13799,plain,
% 4.73/4.92 ( 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)))
% 4.73/4.92 | X0 != X1 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1552]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1550,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1) = c_Groups_Oplus__class_Oplus(X0,X1,X1)
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6316_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13795,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1) = c_Groups_Oplus__class_Oplus(X0,X1,X1)
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1550]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13796,plain,
% 4.73/4.92 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1) = c_Groups_Oplus__class_Oplus(X0,X1,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13795]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1548,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X0,X1,X1)
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6317_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13791,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X0,X1,X1)
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1548]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13792,plain,
% 4.73/4.92 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X0,X1,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13791]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1544,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,X1))
% 4.73/4.92 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6319_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13783,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X0,X1))
% 4.73/4.92 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1544]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1542,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6320_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13779,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1542]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13780,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0))
% 4.73/4.92 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13779]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1540,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk15_2(X1,X0)) = X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6321_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13775,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk15_2(X1,X0)) = X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1540]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13776,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk15_2(X1,X0)) = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13775]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1538,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk11_2(X1,X0)) = X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6322_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13771,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk11_2(X1,X0)) = X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1538]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13772,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk11_2(X1,X0)) = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13771]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1536,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,X1) = c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.73/4.92 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6323_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13767,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,X1) = c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 4.73/4.92 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1536]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13768,plain,
% 4.73/4.92 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,X1) = c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13767]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1534,plain,
% 4.73/4.92 ( c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(X0,X1,X1)
% 4.73/4.92 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6324_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13763,plain,
% 4.73/4.92 ( c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(X0,X1,X1)
% 4.73/4.92 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1534]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13764,plain,
% 4.73/4.92 ( ~ class_Groups_Omonoid__mult(X0)
% 4.73/4.92 | c_Power_Opower__class_Opower(X0,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(X0,X1,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13763]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1526,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6327_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13747,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1526]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13748,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13747]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1516,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6340_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13727,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1516]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13728,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1))
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13727]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1514,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6341_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13723,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1514]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13724,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1))
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13723]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1510,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X1)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6343_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13715,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X1)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1510]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13716,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X1))
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13715]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1506,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit0(X1)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6345_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13707,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit0(X1)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1506]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13708,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit0(X1))
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13707]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1502,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X1)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6347_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13699,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X1)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1502]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1498,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit0(X1)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6349_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13691,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit0(X1)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1498]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13692,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit0(X1))
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13691]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1494,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit0(X1)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6351_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13683,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit0(X1)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1494]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13684,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit0(X1))
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13683]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1490,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit1(X1)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6353_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13675,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit1(X1)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1490]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13676,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit1(X1))
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13675]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1486,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit0(X1)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6355_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13667,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit0(X1)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1486]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13668,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit0(X1))
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13667]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1482,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit1(X1)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6357_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13659,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit1(X1)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1482]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13660,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit1(X1))
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13659]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1462,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 4.73/4.92 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | X1 != c_Groups_Otimes__class_Otimes(X0,X3,X2)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6362_3) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13619,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 4.73/4.92 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | X1 != c_Groups_Otimes__class_Otimes(X0,X3,X2)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1462]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13620,plain,
% 4.73/4.92 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.92 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 4.73/4.92 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | X1 != c_Groups_Otimes__class_Otimes(X0,X3,X2) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13619]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1458,plain,
% 4.73/4.92 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 4.73/4.92 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X1,X0,X3) != X2
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6363_3) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13611,plain,
% 4.73/4.92 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 4.73/4.92 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X1,X0,X3) != X2
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1458]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13612,plain,
% 4.73/4.92 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,X2) != X3
% 4.73/4.92 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | X1 = c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13611]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1440,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6368_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13575,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1440]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13576,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0))
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13575]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1438,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6369_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13571,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1438]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13572,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13571]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1436,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6370_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13567,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1436]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13568,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0))
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13567]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1434,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6371_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13563,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1434]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13564,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13563]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1432,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6372_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13559,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1432]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13560,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13559]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1430,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6373_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13555,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1430]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13556,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0))
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13555]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1428,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6374_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13551,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1428]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13552,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13551]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1426,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6375_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13547,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1426]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13548,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0))
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13547]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1411,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.92 | X1 != X3
% 4.73/4.92 | ~ class_Orderings_Oord(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6380_3) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13517,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.92 | X1 != X3
% 4.73/4.92 | ~ class_Orderings_Oord(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1411]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13518,plain,
% 4.73/4.92 ( ~ class_Orderings_Oord(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.92 | X1 != X3 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13517]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1407,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.92 | X2 != X3
% 4.73/4.92 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6381_3) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13509,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.92 | X2 != X3
% 4.73/4.92 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1407]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13510,plain,
% 4.73/4.92 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.92 | X2 != X3 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13509]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1405,plain,
% 4.73/4.92 ( ~ class_Orderings_Oord(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.92 | X2 != X3 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6382_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13505,plain,
% 4.73/4.92 ( ~ class_Orderings_Oord(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 4.73/4.92 | X2 != X3 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1405]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1401,plain,
% 4.73/4.92 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.92 | X1 != X3 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6383_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13497,plain,
% 4.73/4.92 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 4.73/4.92 | X1 != X3 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1401]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1391,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.92 | X1 != X3
% 4.73/4.92 | ~ class_Orderings_Oord(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6385_3) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13477,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.92 | X1 != X3
% 4.73/4.92 | ~ class_Orderings_Oord(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1391]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13478,plain,
% 4.73/4.92 ( ~ class_Orderings_Oord(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.92 | X1 != X3 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13477]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1387,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.92 | X2 != X3
% 4.73/4.92 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6386_3) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13469,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.92 | X2 != X3
% 4.73/4.92 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1387]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13470,plain,
% 4.73/4.92 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.92 | X2 != X3 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13469]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1385,plain,
% 4.73/4.92 ( ~ class_Orderings_Oord(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.92 | X2 != X3 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6387_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13465,plain,
% 4.73/4.92 ( ~ class_Orderings_Oord(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 4.73/4.92 | X2 != X3 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1385]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1381,plain,
% 4.73/4.92 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.92 | X1 != X3 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6388_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13457,plain,
% 4.73/4.92 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 4.73/4.92 | X1 != X3 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1381]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1377,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6389_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13449,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1377]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1375,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6390_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13445,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1375]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1371,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6392_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13437,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1371]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1369,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6393_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13433,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1369]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1365,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6395_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13425,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1365]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1363,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6396_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13421,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1363]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1359,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6398_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13413,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1359]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1357,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6399_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13409,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1357]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1349,plain,
% 4.73/4.92 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1) = c_Nat__Transfer_Otsub(X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6403_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13393,plain,
% 4.73/4.92 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1) = c_Nat__Transfer_Otsub(X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1349]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13394,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0) = c_Nat__Transfer_Otsub(X1,X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13393]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1317,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | X1 = X2
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6411_3) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13329,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | X1 = X2
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1317]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13330,plain,
% 4.73/4.92 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | X1 = X2 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13329]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1313,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | X2 = X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6412_3) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13321,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | X2 = X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1313]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13322,plain,
% 4.73/4.92 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | X2 = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13321]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1311,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6413_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13317,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1311]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1309,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6414_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13313,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1309]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1305,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6416_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13305,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1305]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1301,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6418_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13297,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1301]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1297,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6420_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13289,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1297]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1293,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit0(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6422_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13281,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit0(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1293]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1289,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6424_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13273,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1289]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13274,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit1(X1)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13273]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1285,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit0(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6426_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13265,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit0(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1285]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1281,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit0(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6428_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13257,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit0(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1281]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1277,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit1(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6430_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13249,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit1(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1277]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1273,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit0(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6432_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13241,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OBit0(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1273]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1269,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit1(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6434_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13233,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OBit1(X1))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1269]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1244,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6441_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13183,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1244]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13184,plain,
% 4.73/4.92 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13183]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1235,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.92 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6445_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13165,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.92 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1235]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13166,plain,
% 4.73/4.92 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13165]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1223,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X0)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6448_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13141,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X0)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1223]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13142,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X0))
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13141]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1221,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OPls) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6449_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13137,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OPls) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1221]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13138,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OPls)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13137]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1219,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X0)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6450_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13133,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X0)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1219]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13134,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X0))
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13133]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1217,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X0)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6451_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13129,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X0)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1217]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13130,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X0))
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13129]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1215,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OPls) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6452_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13125,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OPls) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1215]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13126,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OPls)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13125]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1213,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OPls) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6453_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13121,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OPls) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1213]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13122,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OPls)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13121]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1211,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X0)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6454_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13117,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X0)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1211]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1209,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OPls) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6455_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13113,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OPls) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1209]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13114,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OPls)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13113]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1207,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2)
% 4.73/4.92 | ~ class_Fields_Ofield(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6456_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13109,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2)
% 4.73/4.92 | ~ class_Fields_Ofield(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1207]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13110,plain,
% 4.73/4.92 ( ~ class_Fields_Ofield(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13109]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1205,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6457_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13105,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1205]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13106,plain,
% 4.73/4.92 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Oinverse(X0,X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X2) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13105]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1199,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Rings_Oinverse__class_Oinverse(X0,c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0)
% 4.73/4.92 | ~ class_Int_Onumber(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6459_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13093,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Rings_Oinverse__class_Oinverse(X0,c_Int_Onumber__class_Onumber__of(X0,X1))
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0)
% 4.73/4.92 | ~ class_Int_Onumber(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1199]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13094,plain,
% 4.73/4.92 ( ~ class_Int_Onumber(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0)
% 4.73/4.92 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Rings_Oinverse__class_Oinverse(X0,c_Int_Onumber__class_Onumber__of(X0,X1)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13093]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1197,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6460_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13089,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1197]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1188,plain,
% 4.73/4.92 ( X0 = X1
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6463_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13071,plain,
% 4.73/4.92 ( X0 = X1
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1188]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13072,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 4.73/4.92 | X0 = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13071]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1184,plain,
% 4.73/4.92 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6465_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13063,plain,
% 4.73/4.92 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1184]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13064,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13063]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1175,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | X0 = X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6468_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13045,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | X0 = X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1175]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13046,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | X0 = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13045]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1172,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.92 | X0 = X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6469_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13039,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.92 | X0 = X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1172]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13040,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.92 | X0 = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13039]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1170,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6470_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13035,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1170]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1168,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6471_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13031,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1168]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1166,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6472_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13027,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1166]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1164,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6473_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13023,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1164]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1162,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6474_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13019,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X0),c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1162]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1160,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6475_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13015,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1160]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1158,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6476_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13011,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X0))
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1158]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13012,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X0)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_13011]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1156,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6477_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_13007,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X0),c_Int_OPls)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1156]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1152,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6479_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12999,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1152]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1146,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6482_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12987,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1146]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1138,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6486_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12971,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1138]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1136,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6487_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12967,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1136]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1134,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6488_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12963,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1134]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12964,plain,
% 4.73/4.92 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12963]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1113,plain,
% 4.73/4.92 ( X0 = X1 | hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6494_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12921,plain,
% 4.73/4.92 ( X0 = X1 | hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1113]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12922,plain,
% 4.73/4.92 ( hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) | X0 = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12921]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1104,plain,
% 4.73/4.92 ( c_SEQ_Odecseq(X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk9_2(X1,X0),sk1_esk10_2(X1,X0))
% 4.73/4.92 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6496_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12903,plain,
% 4.73/4.92 ( c_SEQ_Odecseq(X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk9_2(X1,X0),sk1_esk10_2(X1,X0))
% 4.73/4.92 | ~ class_Orderings_Oorder(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1104]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12904,plain,
% 4.73/4.92 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk9_2(X1,X0),sk1_esk10_2(X1,X0))
% 4.73/4.92 | c_SEQ_Odecseq(X0,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12903]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1066,plain,
% 4.73/4.92 ( c_Power_Opower__class_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | ~ class_Rings_Osemiring__1(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6507_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12827,plain,
% 4.73/4.92 ( c_Power_Opower__class_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | ~ class_Rings_Osemiring__1(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1066]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12828,plain,
% 4.73/4.92 ( ~ class_Rings_Osemiring__1(X0)
% 4.73/4.92 | c_Power_Opower__class_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12827]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1064,plain,
% 4.73/4.92 ( c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Osemiring__1(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6508_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12823,plain,
% 4.73/4.92 ( c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Osemiring__1(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1064]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12824,plain,
% 4.73/4.92 ( ~ class_Rings_Osemiring__1(X0)
% 4.73/4.92 | c_Power_Opower__class_Opower(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12823]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1060,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.73/4.92 | X2 = X1
% 4.73/4.92 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6509_3) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12815,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.73/4.92 | X2 = X1
% 4.73/4.92 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1060]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12816,plain,
% 4.73/4.92 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.73/4.92 | X2 = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12815]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1036,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | X2 = X1
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.73/4.92 | ~ class_Orderings_Olinorder(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6515_3) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12767,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | X2 = X1
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.73/4.92 | ~ class_Orderings_Olinorder(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1036]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12768,plain,
% 4.73/4.92 ( ~ class_Orderings_Olinorder(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.73/4.92 | X2 = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12767]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1038,plain,
% 4.73/4.92 ( ~ class_Orderings_Olinorder(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.73/4.92 | X1 = X2 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6515_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12771,plain,
% 4.73/4.92 ( ~ class_Orderings_Olinorder(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 4.73/4.92 | X1 = X2 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1038]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1033,plain,
% 4.73/4.92 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.92 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6516_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12761,plain,
% 4.73/4.92 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.92 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1033]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12762,plain,
% 4.73/4.92 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.92 | c_Groups_Oabs__class_Oabs(X0,X1) = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12761]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1030,plain,
% 4.73/4.92 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.92 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6517_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12755,plain,
% 4.73/4.92 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.92 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1030]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12756,plain,
% 4.73/4.92 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 4.73/4.92 | c_Groups_Oabs__class_Oabs(X0,X1) = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12755]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1011,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.73/4.92 | ~ class_Orderings_Olinorder(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6523_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12717,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.73/4.92 | ~ class_Orderings_Olinorder(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1011]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12718,plain,
% 4.73/4.92 ( ~ class_Orderings_Olinorder(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12717]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1005,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.73/4.92 | ~ class_Orderings_Olinorder(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6525_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12705,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 4.73/4.92 | ~ class_Orderings_Olinorder(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1005]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12706,plain,
% 4.73/4.92 ( ~ class_Orderings_Olinorder(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12705]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1003,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,X2) = c_Groups_Otimes__class_Otimes(X0,X2,X1)
% 4.73/4.92 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6526_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12701,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,X2) = c_Groups_Otimes__class_Otimes(X0,X2,X1)
% 4.73/4.92 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1003]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12702,plain,
% 4.73/4.92 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,X2) = c_Groups_Otimes__class_Otimes(X0,X2,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12701]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_1001,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1)
% 4.73/4.92 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6527_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12697,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1)
% 4.73/4.92 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_1001]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12698,plain,
% 4.73/4.92 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.92 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12697]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_998,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = X2
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,X2) != c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6528_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12691,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Oinverse(X0,X1) = X2
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,X2) != c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_998]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12692,plain,
% 4.73/4.92 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.92 | c_Rings_Oinverse__class_Oinverse(X0,X1) = X2
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,X2) != c_Groups_Oone__class_Oone(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12691]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_990,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.92 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6531_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12675,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.92 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_990]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12676,plain,
% 4.73/4.92 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12675]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_988,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.92 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6532_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12671,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 4.73/4.92 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_988]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12672,plain,
% 4.73/4.92 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12671]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_986,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X1)
% 4.73/4.92 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6533_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12667,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X1)
% 4.73/4.92 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_986]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_984,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X2)
% 4.73/4.92 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6534_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12663,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X2)
% 4.73/4.92 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_984]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_979,plain,
% 4.73/4.92 ( ~ class_Rings_Ono__zero__divisors(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6538_0) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12653,plain,
% 4.73/4.92 ( ~ class_Rings_Ono__zero__divisors(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_979]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_976,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.92 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.92 | ~ class_Rings_Ono__zero__divisors(X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6538_3) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12647,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.92 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.92 | ~ class_Rings_Ono__zero__divisors(X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_976]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12648,plain,
% 4.73/4.92 ( ~ class_Rings_Ono__zero__divisors(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12647]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_970,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X1)
% 4.73/4.92 | X0 != X2 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6540_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12635,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X1)
% 4.73/4.92 | X0 != X2 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_970]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_968,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X2)
% 4.73/4.92 | X1 != X2 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6541_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12631,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X2)
% 4.73/4.92 | X1 != X2 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_968]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_966,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 4.73/4.92 | X1 != X2 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6542_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12627,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 4.73/4.92 | X1 != X2 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_966]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_964,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 4.73/4.92 | X0 != X2 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6543_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12623,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 4.73/4.92 | X0 != X2 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_964]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_958,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 4.73/4.92 | X1 = X0 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6545_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12611,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 4.73/4.92 | X1 = X0 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_958]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_956,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 4.73/4.92 | X0 = X1 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6546_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12607,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 4.73/4.92 | X0 = X1 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_956]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_941,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6551_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12577,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_941]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_939,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6552_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12573,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_939]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_937,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6553_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12569,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_937]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_934,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.92 | c_Power_Opower__class_Opower(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.92 | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6559_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12563,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.92 | c_Power_Opower__class_Opower(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.92 | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_934]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12564,plain,
% 4.73/4.92 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 4.73/4.92 | c_Power_Opower__class_Opower(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12563]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_908,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6571_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12511,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_908]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12512,plain,
% 4.73/4.92 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.92 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12511]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_896,plain,
% 4.73/4.92 ( c_NthRoot_Osqrt(X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6574_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12487,plain,
% 4.73/4.92 ( c_NthRoot_Osqrt(X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_896]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12488,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 4.73/4.92 | c_NthRoot_Osqrt(X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12487]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_893,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6575_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12481,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_893]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12482,plain,
% 4.73/4.92 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12481]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_887,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),X1) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6578_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12469,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),X1) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_887]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12470,plain,
% 4.73/4.92 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),X1) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12469]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_884,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6579_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12463,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_884]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12464,plain,
% 4.73/4.92 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12463]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_881,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),X1) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Fields_Ofield(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6580_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12457,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),X1) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Fields_Ofield(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_881]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12458,plain,
% 4.73/4.92 ( ~ class_Fields_Ofield(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,c_Rings_Oinverse__class_Oinverse(X0,X1),X1) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12457]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_869,plain,
% 4.73/4.92 ( ~ class_Orderings_Olinorder(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | X1 != X2 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6584_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12433,plain,
% 4.73/4.92 ( ~ class_Orderings_Olinorder(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | X1 != X2 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_869]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_863,plain,
% 4.73/4.92 ( X0 != X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 4.73/4.92 | ~ class_Orderings_Oorder(X2) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6586_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12421,plain,
% 4.73/4.92 ( X0 != X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 4.73/4.92 | ~ class_Orderings_Oorder(X2) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_863]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12422,plain,
% 4.73/4.92 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | X1 != X2 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12421]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_860,plain,
% 4.73/4.92 ( X0 != X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
% 4.73/4.92 | ~ class_Orderings_Oorder(X2) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6587_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12415,plain,
% 4.73/4.92 ( X0 != X1
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
% 4.73/4.92 | ~ class_Orderings_Oorder(X2) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_860]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12416,plain,
% 4.73/4.92 ( ~ class_Orderings_Oorder(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 4.73/4.92 | X2 != X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12415]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_846,plain,
% 4.73/4.92 ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6591_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12387,plain,
% 4.73/4.92 ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_846]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12388,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.92 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12387]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_842,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6593_0) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12379,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_842]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_840,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6593_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12375,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_840]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12376,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12375]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_838,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls)),X1) = X1
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6594_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12371,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls)),X1) = X1
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_838]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12372,plain,
% 4.73/4.92 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls)),X1) = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12371]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_836,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls))) = X1
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6595_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12367,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls))) = X1
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_836]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12368,plain,
% 4.73/4.92 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls))) = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12367]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_833,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6596_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12361,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_833]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12362,plain,
% 4.73/4.92 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12361]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_831,plain,
% 4.73/4.92 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6597_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12357,plain,
% 4.73/4.92 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_831]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12358,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.92 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12357]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_829,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 4.73/4.92 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6598_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12353,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 4.73/4.92 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_829]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12354,plain,
% 4.73/4.92 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12353]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_827,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X1)
% 4.73/4.92 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6599_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12349,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X1)
% 4.73/4.92 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_827]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12350,plain,
% 4.73/4.92 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(X0,X1,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12349]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_824,plain,
% 4.73/4.92 ( c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1))
% 4.73/4.92 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6600_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12343,plain,
% 4.73/4.92 ( c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1))
% 4.73/4.92 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_824]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12344,plain,
% 4.73/4.92 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.73/4.92 | c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12343]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_821,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6601_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12337,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Fields_Olinordered__field(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_821]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12338,plain,
% 4.73/4.92 ( ~ class_Fields_Olinordered__field(X0)
% 4.73/4.92 | c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12337]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_819,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6602_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12333,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_819]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12334,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 4.73/4.92 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12333]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_813,plain,
% 4.73/4.92 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6605_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12321,plain,
% 4.73/4.92 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_813]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12322,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.73/4.92 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12321]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_811,plain,
% 4.73/4.92 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X1,X0) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6606_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12317,plain,
% 4.73/4.92 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X1,X0) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_811]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12318,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.73/4.92 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12317]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_809,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6607_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12313,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_809]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12314,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12313]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_807,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6608_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12309,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_807]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12310,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12309]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_804,plain,
% 4.73/4.92 ( c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1))
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6609_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12303,plain,
% 4.73/4.92 ( c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1))
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_804]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12304,plain,
% 4.73/4.92 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.73/4.92 | c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1))
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12303]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_801,plain,
% 4.73/4.92 ( c_RealVector_Onorm__class_Onorm(X0,c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X1))
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6610_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12297,plain,
% 4.73/4.92 ( c_RealVector_Onorm__class_Onorm(X0,c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X1))
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_801]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12298,plain,
% 4.73/4.92 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 4.73/4.92 | c_RealVector_Onorm__class_Onorm(X0,c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X1)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12297]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_799,plain,
% 4.73/4.92 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6611_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12293,plain,
% 4.73/4.92 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_799]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12294,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 4.73/4.92 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12293]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_797,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6612_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12289,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_797]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12290,plain,
% 4.73/4.92 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12289]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_795,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != X1 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6613_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12285,plain,
% 4.73/4.92 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.92 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != X1 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_795]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12286,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != X0
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12285]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_793,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oabs__class_Oabs(X0,X1))
% 4.73/4.92 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6617_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12281,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oabs__class_Oabs(X0,X1))
% 4.73/4.92 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_793]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12282,plain,
% 4.73/4.92 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oabs__class_Oabs(X0,X1)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12281]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_791,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) | X0 != X1 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6618_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12277,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) | X0 != X1 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_791]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_783,plain,
% 4.73/4.92 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6622_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12261,plain,
% 4.73/4.92 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_783]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12262,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12261]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_781,plain,
% 4.73/4.92 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6623_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12257,plain,
% 4.73/4.92 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_781]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12258,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) | X1 != X0 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12257]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_779,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) | X0 != X1 ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6624_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12253,plain,
% 4.73/4.92 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) | X0 != X1 ),
% 4.73/4.92 inference(copy,[status(esa)],[c_779]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_777,plain,
% 4.73/4.92 ( c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 4.73/4.92 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6625_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12249,plain,
% 4.73/4.92 ( c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 4.73/4.92 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_777]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12250,plain,
% 4.73/4.92 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.73/4.92 | c_Groups_Ouminus__class_Ouminus(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12249]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_772,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.92 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6627_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12239,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Oinverse(X0,X1))
% 4.73/4.92 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_772]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12240,plain,
% 4.73/4.92 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 4.73/4.92 | c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12239]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_770,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(X1,X0))
% 4.73/4.92 | ~ c_SEQ_Osubseq(X1) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6629_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12235,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(X1,X0))
% 4.73/4.92 | ~ c_SEQ_Osubseq(X1) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_770]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12236,plain,
% 4.73/4.92 ( ~ c_SEQ_Osubseq(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,hAPP(X0,X1)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12235]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_768,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OPls)) = X1
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6631_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12231,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OPls)) = X1
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_768]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12232,plain,
% 4.73/4.92 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.92 | c_Groups_Oplus__class_Oplus(X0,X1,c_Int_Onumber__class_Onumber__of(X0,c_Int_OPls)) = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12231]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_766,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OPls),X1) = X1
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6632_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12227,plain,
% 4.73/4.92 ( c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OPls),X1) = X1
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_766]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12228,plain,
% 4.73/4.92 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.92 | c_Groups_Oplus__class_Oplus(X0,c_Int_Onumber__class_Onumber__of(X0,c_Int_OPls),X1) = X1 ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12227]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_756,plain,
% 4.73/4.92 ( c_Groups_Ouminus__class_Ouminus(X0,c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6636_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12207,plain,
% 4.73/4.92 ( c_Groups_Ouminus__class_Ouminus(X0,c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))
% 4.73/4.92 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_756]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12208,plain,
% 4.73/4.92 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.92 | c_Groups_Ouminus__class_Ouminus(X0,c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12207]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_750,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Rings_Oinverse__class_Oinverse(X0,X1)
% 4.73/4.92 | ~ class_Fields_Ofield(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6642_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12195,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Rings_Oinverse__class_Oinverse(X0,X1)
% 4.73/4.92 | ~ class_Fields_Ofield(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_750]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12196,plain,
% 4.73/4.92 ( ~ class_Fields_Ofield(X0)
% 4.73/4.92 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Rings_Oinverse__class_Oinverse(X0,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12195]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_748,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Rings_Oinverse__class_Oinverse(X0,X1)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6643_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12191,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Rings_Oinverse__class_Oinverse(X0,X1)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_748]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12192,plain,
% 4.73/4.92 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.92 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Rings_Oinverse__class_Oinverse(X0,X1) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12191]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_725,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.92 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6652_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12145,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Int_OPls)
% 4.73/4.92 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_725]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_710,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 4.73/4.92 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6657_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12115,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 4.73/4.92 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_710]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12116,plain,
% 4.73/4.92 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12115]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_708,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 4.73/4.92 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6658_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12111,plain,
% 4.73/4.92 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 4.73/4.92 | ~ class_Rings_Olinordered__semidom(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_708]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12112,plain,
% 4.73/4.92 ( ~ class_Rings_Olinordered__semidom(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12111]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_698,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6662_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12091,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_698]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12092,plain,
% 4.73/4.92 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12091]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_694,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6664_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12083,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_694]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12084,plain,
% 4.73/4.92 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12083]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_692,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Omult__zero(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6665_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12079,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Omult__zero(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_692]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12080,plain,
% 4.73/4.92 ( ~ class_Rings_Omult__zero(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12079]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_690,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Omult__zero(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6666_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12075,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Omult__zero(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_690]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12076,plain,
% 4.73/4.92 ( ~ class_Rings_Omult__zero(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12075]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_688,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6667_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12071,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_688]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12072,plain,
% 4.73/4.92 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12071]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_686,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6668_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12067,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_686]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12068,plain,
% 4.73/4.92 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.92 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12067]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_684,plain,
% 4.73/4.92 ( c_Power_Opower__class_Opower(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6669_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12063,plain,
% 4.73/4.92 ( c_Power_Opower__class_Opower(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_684]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12064,plain,
% 4.73/4.92 ( ~ class_Groups_Omonoid__mult(X0)
% 4.73/4.92 | c_Power_Opower__class_Opower(X0,c_Groups_Oone__class_Oone(X0),X1) = c_Groups_Oone__class_Oone(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12063]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_682,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6670_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12059,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_682]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12060,plain,
% 4.73/4.92 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.92 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12059]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_680,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6671_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12055,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_680]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12056,plain,
% 4.73/4.92 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.73/4.92 | c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12055]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_678,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6672_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12051,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_678]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12052,plain,
% 4.73/4.92 ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.73/4.92 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12051]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_669,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6675_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12033,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_669]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12034,plain,
% 4.73/4.92 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.73/4.92 | c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12033]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_666,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6676_2) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12027,plain,
% 4.73/4.92 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.92 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_666]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12028,plain,
% 4.73/4.92 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.92 | c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.92 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.92 inference(rewriting,[status(thm)],[c_12027]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_662,plain,
% 4.73/4.92 ( c_SEQ_Osubseq(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk7_1(X0),sk1_esk8_1(X0)) ),
% 4.73/4.92 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6678_1) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_12019,plain,
% 4.73/4.92 ( c_SEQ_Osubseq(X0)
% 4.73/4.92 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk7_1(X0),sk1_esk8_1(X0)) ),
% 4.73/4.92 inference(copy,[status(esa)],[c_662]) ).
% 4.73/4.92
% 4.73/4.92 cnf(c_654,plain,
% 4.73/4.92 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 4.73/4.93 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6681_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_12003,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 4.73/4.93 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_654]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_12004,plain,
% 4.73/4.93 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 4.73/4.93 | c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_12003]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_652,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 4.73/4.93 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6682_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11999,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 4.73/4.93 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_652]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_12000,plain,
% 4.73/4.93 ( ~ class_Groups_Omonoid__mult(X0)
% 4.73/4.93 | c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11999]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_650,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oone__class_Oone(X0),X1) = X1
% 4.73/4.93 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6683_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11995,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oone__class_Oone(X0),X1) = X1
% 4.73/4.93 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_650]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11996,plain,
% 4.73/4.93 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 4.73/4.93 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oone__class_Oone(X0),X1) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11995]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_648,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oone__class_Oone(X0),X1) = X1
% 4.73/4.93 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6684_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11991,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oone__class_Oone(X0),X1) = X1
% 4.73/4.93 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_648]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11992,plain,
% 4.73/4.93 ( ~ class_Groups_Omonoid__mult(X0)
% 4.73/4.93 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oone__class_Oone(X0),X1) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11991]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_646,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oone__class_Oone(X0),X1) = X1
% 4.73/4.93 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6685_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11987,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(X0,c_Groups_Oone__class_Oone(X0),X1) = X1
% 4.73/4.93 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_646]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11988,plain,
% 4.73/4.93 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.93 | c_Groups_Otimes__class_Otimes(X0,c_Groups_Oone__class_Oone(X0),X1) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11987]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_644,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 4.73/4.93 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6686_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11983,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 4.73/4.93 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_644]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11984,plain,
% 4.73/4.93 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.93 | c_Groups_Otimes__class_Otimes(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11983]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_642,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 4.73/4.93 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6687_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11979,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 4.73/4.93 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_642]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11980,plain,
% 4.73/4.93 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.93 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11979]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_640,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 4.73/4.93 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6688_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11975,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 4.73/4.93 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_640]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11976,plain,
% 4.73/4.93 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.93 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11975]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_638,plain,
% 4.73/4.93 ( c_Power_Opower__class_Opower(X0,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.93 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6689_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11971,plain,
% 4.73/4.93 ( c_Power_Opower__class_Opower(X0,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.93 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_638]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11972,plain,
% 4.73/4.93 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.93 | c_Power_Opower__class_Opower(X0,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11971]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_636,plain,
% 4.73/4.93 ( c_Power_Opower__class_Opower(X0,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.93 | ~ class_Power_Opower(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6690_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11967,plain,
% 4.73/4.93 ( c_Power_Opower__class_Opower(X0,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.93 | ~ class_Power_Opower(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_636]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11968,plain,
% 4.73/4.93 ( ~ class_Power_Opower(X0)
% 4.73/4.93 | c_Power_Opower__class_Opower(X0,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11967]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_634,plain,
% 4.73/4.93 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 4.73/4.93 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6691_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11963,plain,
% 4.73/4.93 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 4.73/4.93 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_634]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11964,plain,
% 4.73/4.93 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.93 | c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11963]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_632,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 4.73/4.93 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6692_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11959,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 4.73/4.93 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_632]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11960,plain,
% 4.73/4.93 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 4.73/4.93 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11959]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_630,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 4.73/4.93 | ~ class_Groups_Omonoid__add(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6693_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11955,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 4.73/4.93 | ~ class_Groups_Omonoid__add(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_630]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11956,plain,
% 4.73/4.93 ( ~ class_Groups_Omonoid__add(X0)
% 4.73/4.93 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11955]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_628,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 4.73/4.93 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6694_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11951,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 4.73/4.93 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_628]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11952,plain,
% 4.73/4.93 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 4.73/4.93 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11951]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_626,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 4.73/4.93 | ~ class_Groups_Omonoid__add(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6695_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11947,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 4.73/4.93 | ~ class_Groups_Omonoid__add(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_626]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11948,plain,
% 4.73/4.93 ( ~ class_Groups_Omonoid__add(X0)
% 4.73/4.93 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11947]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_624,plain,
% 4.73/4.93 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 4.73/4.93 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6696_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11943,plain,
% 4.73/4.93 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 4.73/4.93 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_624]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11944,plain,
% 4.73/4.93 ( ~ class_Groups_Ogroup__add(X0)
% 4.73/4.93 | c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11943]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_618,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.73/4.93 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.73/4.93 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6698_2) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11931,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.73/4.93 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 4.73/4.93 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_618]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_615,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.93 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.93 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6699_2) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11925,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.93 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.93 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_615]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_613,plain,
% 4.73/4.93 ( c_Power_Opower__class_Opower(X0,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 4.73/4.93 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6700_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11921,plain,
% 4.73/4.93 ( c_Power_Opower__class_Opower(X0,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 4.73/4.93 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_613]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11922,plain,
% 4.73/4.93 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 4.73/4.93 | c_Power_Opower__class_Opower(X0,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11921]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_611,plain,
% 4.73/4.93 ( c_Power_Opower__class_Opower(X0,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 4.73/4.93 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6701_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11917,plain,
% 4.73/4.93 ( c_Power_Opower__class_Opower(X0,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 4.73/4.93 | ~ class_Groups_Omonoid__mult(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_611]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11918,plain,
% 4.73/4.93 ( ~ class_Groups_Omonoid__mult(X0)
% 4.73/4.93 | c_Power_Opower__class_Opower(X0,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11917]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_609,plain,
% 4.73/4.93 ( c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6702_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11913,plain,
% 4.73/4.93 ( c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_609]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11914,plain,
% 4.73/4.93 ( ~ class_Groups_Ogroup__add(X0)
% 4.73/4.93 | c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11913]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_597,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.93 | X1 != X2
% 4.73/4.93 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6706_2) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11889,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.93 | X1 != X2
% 4.73/4.93 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_597]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11890,plain,
% 4.73/4.93 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.93 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 4.73/4.93 | X1 != X2 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11889]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_595,plain,
% 4.73/4.93 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.93 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Rings_Oinverse__class_Oinverse(X0,X2)
% 4.73/4.93 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | X1 = X2
% 4.73/4.93 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6707_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11885,plain,
% 4.73/4.93 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.93 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Rings_Oinverse__class_Oinverse(X0,X2)
% 4.73/4.93 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | X1 = X2
% 4.73/4.93 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_595]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11886,plain,
% 4.73/4.93 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.93 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Rings_Oinverse__class_Oinverse(X0,X2)
% 4.73/4.93 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | X1 = X2 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11885]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_590,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 4.73/4.93 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6708_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11875,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 4.73/4.93 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_590]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_588,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X1)
% 4.73/4.93 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6709_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11871,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X1)
% 4.73/4.93 | ~ class_Orderings_Opreorder(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_588]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11872,plain,
% 4.73/4.93 ( ~ class_Orderings_Opreorder(X0)
% 4.73/4.93 | c_Orderings_Oord__class_Oless__eq(X0,X1,X1) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11871]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_586,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.93 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6710_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11867,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.93 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_586]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_584,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.93 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6711_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11863,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 4.73/4.93 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_584]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_582,plain,
% 4.73/4.93 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 4.73/4.93 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6712_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11859,plain,
% 4.73/4.93 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 4.73/4.93 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_582]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11860,plain,
% 4.73/4.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.73/4.93 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11859]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_580,plain,
% 4.73/4.93 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 4.73/4.93 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6713_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11855,plain,
% 4.73/4.93 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 4.73/4.93 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_580]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11856,plain,
% 4.73/4.93 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.93 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11855]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_578,plain,
% 4.73/4.93 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 4.73/4.93 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6714_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11851,plain,
% 4.73/4.93 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 4.73/4.93 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_578]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11852,plain,
% 4.73/4.93 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.93 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11851]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_570,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.93 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6717_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11835,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 4.73/4.93 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_570]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_568,plain,
% 4.73/4.93 ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 4.73/4.93 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6718_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11831,plain,
% 4.73/4.93 ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 4.73/4.93 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_568]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11832,plain,
% 4.73/4.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.73/4.93 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11831]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_566,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) | X0 != X1 ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6736_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11827,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) | X0 != X1 ),
% 4.73/4.93 inference(copy,[status(esa)],[c_566]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_560,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6739_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11815,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 4.73/4.93 inference(copy,[status(esa)],[c_560]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_551,plain,
% 4.73/4.93 ( X0 = X1
% 4.73/4.93 | ~ class_Rings_Odivision__ring__inverse__zero(X2)
% 4.73/4.93 | c_Rings_Oinverse__class_Oinverse(X2,X0) != c_Rings_Oinverse__class_Oinverse(X2,X1) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6747_2) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11797,plain,
% 4.73/4.93 ( X0 = X1
% 4.73/4.93 | ~ class_Rings_Odivision__ring__inverse__zero(X2)
% 4.73/4.93 | c_Rings_Oinverse__class_Oinverse(X2,X0) != c_Rings_Oinverse__class_Oinverse(X2,X1) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_551]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11798,plain,
% 4.73/4.93 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.73/4.93 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Rings_Oinverse__class_Oinverse(X0,X2)
% 4.73/4.93 | X1 = X2 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11797]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_548,plain,
% 4.73/4.93 ( c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = X1
% 4.73/4.93 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6748_2) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11791,plain,
% 4.73/4.93 ( c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = X1
% 4.73/4.93 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_548]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11792,plain,
% 4.73/4.93 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.93 | c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = X1
% 4.73/4.93 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11791]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_546,plain,
% 4.73/4.93 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1
% 4.73/4.93 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6757_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11787,plain,
% 4.73/4.93 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1
% 4.73/4.93 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_546]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11788,plain,
% 4.73/4.93 ( ~ class_Groups_Ogroup__add(X0)
% 4.73/4.93 | c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11787]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_544,plain,
% 4.73/4.93 ( c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = X1
% 4.73/4.93 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6758_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11783,plain,
% 4.73/4.93 ( c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = X1
% 4.73/4.93 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_544]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11784,plain,
% 4.73/4.93 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.73/4.93 | c_Rings_Oinverse__class_Oinverse(X0,c_Rings_Oinverse__class_Oinverse(X0,X1)) = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11783]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_507,plain,
% 4.73/4.93 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.93 | c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.93 | ~ class_Rings_Odivision__ring(X1) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6773_2) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11709,plain,
% 4.73/4.93 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.93 | c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Ozero__class_Ozero(X1)
% 4.73/4.93 | ~ class_Rings_Odivision__ring(X1) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_507]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11710,plain,
% 4.73/4.93 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.93 | c_Rings_Oinverse__class_Oinverse(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11709]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_490,plain,
% 4.73/4.93 ( class_Orderings_Oord(tc_fun(X0,X1)) | ~ class_Orderings_Oord(X1) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6780_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11675,plain,
% 4.73/4.93 ( class_Orderings_Oord(tc_fun(X0,X1)) | ~ class_Orderings_Oord(X1) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_490]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_488,plain,
% 4.73/4.93 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6781_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11671,plain,
% 4.73/4.93 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_488]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_486,plain,
% 4.73/4.93 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 4.73/4.93 | ~ class_Orderings_Opreorder(X1) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6782_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11667,plain,
% 4.73/4.93 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 4.73/4.93 | ~ class_Orderings_Opreorder(X1) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_486]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_460,plain,
% 4.73/4.93 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6791_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11615,plain,
% 4.73/4.93 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Groups_Ogroup__add(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_460]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11616,plain,
% 4.73/4.93 ( ~ class_Groups_Ogroup__add(X0)
% 4.73/4.93 | c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11615]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_458,plain,
% 4.73/4.93 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.93 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6792_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11611,plain,
% 4.73/4.93 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.93 | ~ class_Rings_Odivision__ring(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_458]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11612,plain,
% 4.73/4.93 ( ~ class_Rings_Odivision__ring(X0)
% 4.73/4.93 | c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11611]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_456,plain,
% 4.73/4.93 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6793_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11607,plain,
% 4.73/4.93 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_456]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11608,plain,
% 4.73/4.93 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 4.73/4.93 | c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11607]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_454,plain,
% 4.73/4.93 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6794_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11603,plain,
% 4.73/4.93 ( c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_454]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11604,plain,
% 4.73/4.93 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 4.73/4.93 | c_Rings_Oinverse__class_Oinverse(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11603]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_452,plain,
% 4.73/4.93 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.93 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6795_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11599,plain,
% 4.73/4.93 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.93 | ~ class_Rings_Olinordered__idom(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_452]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11600,plain,
% 4.73/4.93 ( ~ class_Rings_Olinordered__idom(X0)
% 4.73/4.93 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11599]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_450,plain,
% 4.73/4.93 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6796_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11595,plain,
% 4.73/4.93 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_450]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11596,plain,
% 4.73/4.93 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 4.73/4.93 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11595]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_442,plain,
% 4.73/4.93 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 4.73/4.93 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6799_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11579,plain,
% 4.73/4.93 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 4.73/4.93 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_442]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11580,plain,
% 4.73/4.93 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 4.73/4.93 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11579]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_440,plain,
% 4.73/4.93 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.93 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6800_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11575,plain,
% 4.73/4.93 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.93 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_440]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11576,plain,
% 4.73/4.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.73/4.93 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11575]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_434,plain,
% 4.73/4.93 ( X0 = X1
% 4.73/4.93 | c_Complex_OIm(X0) != c_Complex_OIm(X1)
% 4.73/4.93 | c_Complex_ORe(X0) != c_Complex_ORe(X1) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6803_2) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11563,plain,
% 4.73/4.93 ( X0 = X1
% 4.73/4.93 | c_Complex_OIm(X0) != c_Complex_OIm(X1)
% 4.73/4.93 | c_Complex_ORe(X0) != c_Complex_ORe(X1) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_434]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11564,plain,
% 4.73/4.93 ( c_Complex_ORe(X0) != c_Complex_ORe(X1)
% 4.73/4.93 | c_Complex_OIm(X0) != c_Complex_OIm(X1)
% 4.73/4.93 | X0 = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11563]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_430,plain,
% 4.73/4.93 ( c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.93 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6805_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11555,plain,
% 4.73/4.93 ( c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(X0)
% 4.73/4.93 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_430]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11556,plain,
% 4.73/4.93 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.93 | c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(X0) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11555]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_426,plain,
% 4.73/4.93 ( c_Int_Onumber__class_Onumber__of(X0,c_Int_OPls) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6808_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11547,plain,
% 4.73/4.93 ( c_Int_Onumber__class_Onumber__of(X0,c_Int_OPls) = c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Int_Onumber__ring(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_426]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11548,plain,
% 4.73/4.93 ( ~ class_Int_Onumber__ring(X0)
% 4.73/4.93 | c_Int_Onumber__class_Onumber__of(X0,c_Int_OPls) = c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11547]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_410,plain,
% 4.73/4.93 ( c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Rings_Ozero__neq__one(X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6815_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11515,plain,
% 4.73/4.93 ( c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0)
% 4.73/4.93 | ~ class_Rings_Ozero__neq__one(X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_410]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11516,plain,
% 4.73/4.93 ( ~ class_Rings_Ozero__neq__one(X0)
% 4.73/4.93 | c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11515]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_408,plain,
% 4.73/4.93 ( X0 = X1 | c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6820_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11511,plain,
% 4.73/4.93 ( X0 = X1 | c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_408]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11512,plain,
% 4.73/4.93 ( c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) | X0 = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11511]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_406,plain,
% 4.73/4.93 ( X0 = X1 | c_Int_OBit0(X0) != c_Int_OBit0(X1) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6821_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11507,plain,
% 4.73/4.93 ( X0 = X1 | c_Int_OBit0(X0) != c_Int_OBit0(X1) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_406]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11508,plain,
% 4.73/4.93 ( c_Int_OBit0(X0) != c_Int_OBit0(X1) | X0 = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11507]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_404,plain,
% 4.73/4.93 ( X0 = X1 | c_Int_OBit1(X0) != c_Int_OBit1(X1) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6822_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11503,plain,
% 4.73/4.93 ( X0 = X1 | c_Int_OBit1(X0) != c_Int_OBit1(X1) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_404]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11504,plain,
% 4.73/4.93 ( c_Int_OBit1(X0) != c_Int_OBit1(X1) | X0 = X1 ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11503]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_402,plain,
% 4.73/4.93 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.93 | c_NthRoot_Osqrt(X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6823_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11499,plain,
% 4.73/4.93 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.93 | c_NthRoot_Osqrt(X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_402]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11500,plain,
% 4.73/4.93 ( c_NthRoot_Osqrt(X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.93 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11499]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_400,plain,
% 4.73/4.93 ( X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 4.73/4.93 | c_NthRoot_Osqrt(X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6824_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11495,plain,
% 4.73/4.93 ( X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 4.73/4.93 | c_NthRoot_Osqrt(X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_400]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11496,plain,
% 4.73/4.93 ( c_NthRoot_Osqrt(X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 4.73/4.93 | X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11495]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_398,plain,
% 4.73/4.93 ( c_NthRoot_Osqrt(X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.93 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6831_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11491,plain,
% 4.73/4.93 ( c_NthRoot_Osqrt(X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.73/4.93 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_398]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_396,plain,
% 4.73/4.93 ( c_NthRoot_Osqrt(X0) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 4.73/4.93 | X0 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6832_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11487,plain,
% 4.73/4.93 ( c_NthRoot_Osqrt(X0) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 4.73/4.93 | X0 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_396]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_394,plain,
% 4.73/4.93 ( c_NthRoot_Osqrt(X0) = c_NthRoot_Osqrt(X1) | X0 != X1 ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6833_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11483,plain,
% 4.73/4.93 ( c_NthRoot_Osqrt(X0) = c_NthRoot_Osqrt(X1) | X0 != X1 ),
% 4.73/4.93 inference(copy,[status(esa)],[c_394]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_392,plain,
% 4.73/4.93 ( c_Int_OBit0(X0) = c_Int_OBit0(X1) | X0 != X1 ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6834_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11479,plain,
% 4.73/4.93 ( c_Int_OBit0(X0) = c_Int_OBit0(X1) | X0 != X1 ),
% 4.73/4.93 inference(copy,[status(esa)],[c_392]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_390,plain,
% 4.73/4.93 ( c_Int_OBit1(X0) = c_Int_OBit1(X1) | X0 != X1 ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6835_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11475,plain,
% 4.73/4.93 ( c_Int_OBit1(X0) = c_Int_OBit1(X1) | X0 != X1 ),
% 4.73/4.93 inference(copy,[status(esa)],[c_390]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_388,plain,
% 4.73/4.93 ( c_Complex_ORe(X0) = c_Complex_ORe(X1) | X0 != X1 ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6836_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11471,plain,
% 4.73/4.93 ( c_Complex_ORe(X0) = c_Complex_ORe(X1) | X0 != X1 ),
% 4.73/4.93 inference(copy,[status(esa)],[c_388]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_386,plain,
% 4.73/4.93 ( c_Complex_OIm(X0) = c_Complex_OIm(X1) | X0 != X1 ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6837_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11467,plain,
% 4.73/4.93 ( c_Complex_OIm(X0) = c_Complex_OIm(X1) | X0 != X1 ),
% 4.73/4.93 inference(copy,[status(esa)],[c_386]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_384,plain,
% 4.73/4.93 ( c_Int_OPls = X0 | c_Int_OBit0(X0) != c_Int_OPls ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6845_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11463,plain,
% 4.73/4.93 ( c_Int_OPls = X0 | c_Int_OBit0(X0) != c_Int_OPls ),
% 4.73/4.93 inference(copy,[status(esa)],[c_384]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_382,plain,
% 4.73/4.93 ( X0 = c_Int_OPls | c_Int_OBit0(X0) != c_Int_OPls ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6846_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11459,plain,
% 4.73/4.93 ( X0 = c_Int_OPls | c_Int_OBit0(X0) != c_Int_OPls ),
% 4.73/4.93 inference(copy,[status(esa)],[c_382]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11460,plain,
% 4.73/4.93 ( c_Int_OBit0(X0) != c_Int_OPls | X0 = c_Int_OPls ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11459]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_380,plain,
% 4.73/4.93 ( c_Int_OBit0(X0) = c_Int_OPls | c_Int_OPls != X0 ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6851_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11455,plain,
% 4.73/4.93 ( c_Int_OBit0(X0) = c_Int_OPls | c_Int_OPls != X0 ),
% 4.73/4.93 inference(copy,[status(esa)],[c_380]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11456,plain,
% 4.73/4.93 ( c_Int_OPls != X0 | c_Int_OBit0(X0) = c_Int_OPls ),
% 4.73/4.93 inference(rewriting,[status(thm)],[c_11455]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_378,plain,
% 4.73/4.93 ( c_Int_OBit0(X0) = c_Int_OPls | X0 != c_Int_OPls ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6852_1) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11451,plain,
% 4.73/4.93 ( c_Int_OBit0(X0) = c_Int_OPls | X0 != c_Int_OPls ),
% 4.73/4.93 inference(copy,[status(esa)],[c_378]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_377,plain,
% 4.73/4.93 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5967_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11449,plain,
% 4.73/4.93 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_377]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_375,plain,
% 4.73/4.93 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6084_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11445,plain,
% 4.73/4.93 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_375]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_374,plain,
% 4.73/4.93 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X1) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6085_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11443,plain,
% 4.73/4.93 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X1) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_374]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_371,plain,
% 4.73/4.93 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6616_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11437,plain,
% 4.73/4.93 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_371]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_368,plain,
% 4.73/4.93 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6639_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11431,plain,
% 4.73/4.93 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_368]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_367,plain,
% 4.73/4.93 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OPls) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6646_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11429,plain,
% 4.73/4.93 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OPls) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_367]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_366,plain,
% 4.73/4.93 ( c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,X0) != c_Complex_Oii ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6813_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11427,plain,
% 4.73/4.93 ( c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,X0) != c_Complex_Oii ),
% 4.73/4.93 inference(copy,[status(esa)],[c_366]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_365,plain,
% 4.73/4.93 ( c_Int_OBit0(X0) != c_Int_OBit1(X1) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6829_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11425,plain,
% 4.73/4.93 ( c_Int_OBit0(X0) != c_Int_OBit1(X1) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_365]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_364,plain,
% 4.73/4.93 ( c_Int_OBit1(X0) != c_Int_OBit0(X1) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6830_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11423,plain,
% 4.73/4.93 ( c_Int_OBit1(X0) != c_Int_OBit0(X1) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_364]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_362,plain,
% 4.73/4.93 ( c_Groups_Oone__class_Oone(tc_RealDef_Oreal) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6848_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11419,plain,
% 4.73/4.93 ( c_Groups_Oone__class_Oone(tc_RealDef_Oreal) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_362]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_360,plain,
% 4.73/4.93 ( c_Int_OBit1(X0) != c_Int_OPls ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6850_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11415,plain,
% 4.73/4.93 ( c_Int_OBit1(X0) != c_Int_OPls ),
% 4.73/4.93 inference(copy,[status(esa)],[c_360]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_359,plain,
% 4.73/4.93 ( c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6855_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11413,plain,
% 4.73/4.93 ( c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 4.73/4.93 inference(copy,[status(esa)],[c_359]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_358,plain,
% 4.73/4.93 ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6856_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11411,plain,
% 4.73/4.93 ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 4.73/4.93 inference(copy,[status(esa)],[c_358]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_357,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X3),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5331_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11409,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X3),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_357]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_354,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5334_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11405,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_354]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_353,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5336_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11403,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_353]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_352,plain,
% 4.73/4.93 ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X2),hAPP(X0,X1)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)),X1)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X2),hAPP(X0,X1)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)),X2)) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5339_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11401,plain,
% 4.73/4.93 ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X2),hAPP(X0,X1)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)),X1)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X2),hAPP(X0,X1)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)),X2)) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_352]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_351,plain,
% 4.73/4.93 ( c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5343_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11399,plain,
% 4.73/4.93 ( c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_351]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_350,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5355_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11397,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_350]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_349,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5356_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11395,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_349]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_348,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5357_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11393,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_348]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_347,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5358_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11391,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_347]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_346,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5359_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11389,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_346]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_344,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X1)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(X0),c_Complex_ORe(X1))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(X0),c_Complex_OIm(X1))))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5369_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11386,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X1)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(X0),c_Complex_ORe(X1))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(X0),c_Complex_OIm(X1))))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_344]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_343,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5374_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11384,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_343]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_342,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5375_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11382,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_342]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_338,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5485_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11377,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_338]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_337,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5486_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11375,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_337]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_323,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X0))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5898_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11360,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X0))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_323]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_317,plain,
% 4.73/4.93 ( 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)) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5992_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11353,plain,
% 4.73/4.93 ( 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)) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_317]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_312,plain,
% 4.73/4.93 ( 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)) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5997_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11347,plain,
% 4.73/4.93 ( 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)) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_312]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_310,plain,
% 4.73/4.93 ( 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) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_5999_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11344,plain,
% 4.73/4.93 ( 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) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_310]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_309,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6066_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11342,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_309]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_308,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6069_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11340,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_308]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_307,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Complex_OIm(v_s(X0))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_r,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6154_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11338,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Complex_OIm(v_s(X0))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_r,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_307]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_303,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6175_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11333,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_303]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_282,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X0)) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6333_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11310,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X0)) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_282]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_281,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6334_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11308,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_281]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_280,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6335_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11306,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_280]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_279,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6336_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11304,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_279]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_278,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6337_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11302,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_278]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_277,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6338_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11300,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_277]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_276,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6339_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11298,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_276]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_273,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Complex_OIm(X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6535_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11294,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Complex_OIm(X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_273]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_272,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Complex_ORe(X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6536_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11292,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Complex_ORe(X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_272]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_270,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(tc_Int_Oint,X0,X1) = c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1,X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6554_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11289,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(tc_Int_Oint,X0,X1) = c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1,X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_270]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_269,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X1,X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6555_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11287,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X0,X1) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X1,X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_269]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_268,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6556_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11285,plain,
% 4.73/4.93 ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_268]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_267,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6557_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11283,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_267]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_266,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6558_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11281,plain,
% 4.73/4.93 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_266]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_265,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6562_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11279,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_265]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_262,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_s(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),v_r) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6576_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11273,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_s(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),v_r) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_262]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_261,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_s(X0)),v_r) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6628_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11271,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_s(X0)),v_r) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_261]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_259,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Complex_ORe(X0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6641_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11268,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Complex_ORe(X0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_259]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_239,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6741_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11242,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_239]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_237,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6743_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11239,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_237]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_236,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_e____) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6744_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11237,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_e____) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_236]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_235,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6749_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11235,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_235]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_234,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6750_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11233,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_234]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_233,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6751_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11231,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_233]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_228,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6756_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11225,plain,
% 4.73/4.93 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_228]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_204,plain,
% 4.73/4.93 ( class_Groups_Oone(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6857_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11200,plain,
% 4.73/4.93 ( class_Groups_Oone(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_204]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_203,plain,
% 4.73/4.93 ( class_Int_Onumber(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6858_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11198,plain,
% 4.73/4.93 ( class_Int_Onumber(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_203]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_202,plain,
% 4.73/4.93 ( class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6859_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11196,plain,
% 4.73/4.93 ( class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_202]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_201,plain,
% 4.73/4.93 ( class_Rings_Oring(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6860_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11194,plain,
% 4.73/4.93 ( class_Rings_Oring(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_201]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_200,plain,
% 4.73/4.93 ( class_Groups_Ozero(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6861_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11192,plain,
% 4.73/4.93 ( class_Groups_Ozero(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_200]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_199,plain,
% 4.73/4.93 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6862_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11190,plain,
% 4.73/4.93 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_199]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_198,plain,
% 4.73/4.93 ( class_Fields_Ofield(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6863_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11188,plain,
% 4.73/4.93 ( class_Fields_Ofield(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_198]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_197,plain,
% 4.73/4.93 ( class_Rings_Oring__1(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6864_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11186,plain,
% 4.73/4.93 ( class_Rings_Oring__1(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_197]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_196,plain,
% 4.73/4.93 ( class_Rings_Osemiring(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6865_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11184,plain,
% 4.73/4.93 ( class_Rings_Osemiring(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_196]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_195,plain,
% 4.73/4.93 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6866_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11182,plain,
% 4.73/4.93 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_195]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_194,plain,
% 4.73/4.93 ( class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6867_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11180,plain,
% 4.73/4.93 ( class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_194]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_193,plain,
% 4.73/4.93 ( class_Rings_Omult__zero(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6868_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11178,plain,
% 4.73/4.93 ( class_Rings_Omult__zero(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_193]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_192,plain,
% 4.73/4.93 ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6869_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11176,plain,
% 4.73/4.93 ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_192]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_191,plain,
% 4.73/4.93 ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6870_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11174,plain,
% 4.73/4.93 ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_191]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_190,plain,
% 4.73/4.93 ( class_Rings_Osemiring__1(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6871_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11172,plain,
% 4.73/4.93 ( class_Rings_Osemiring__1(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_190]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_189,plain,
% 4.73/4.93 ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6872_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11170,plain,
% 4.73/4.93 ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_189]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_188,plain,
% 4.73/4.93 ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6873_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11168,plain,
% 4.73/4.93 ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_188]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_187,plain,
% 4.73/4.93 ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6874_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11166,plain,
% 4.73/4.93 ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_187]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_186,plain,
% 4.73/4.93 ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6875_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11164,plain,
% 4.73/4.93 ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_186]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_185,plain,
% 4.73/4.93 ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6876_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11162,plain,
% 4.73/4.93 ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_185]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_184,plain,
% 4.73/4.93 ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6877_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11160,plain,
% 4.73/4.93 ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_184]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_183,plain,
% 4.73/4.93 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6878_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11158,plain,
% 4.73/4.93 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_183]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_182,plain,
% 4.73/4.93 ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6879_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11156,plain,
% 4.73/4.93 ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_182]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_181,plain,
% 4.73/4.93 ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6880_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11154,plain,
% 4.73/4.93 ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_181]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_180,plain,
% 4.73/4.93 ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6881_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11152,plain,
% 4.73/4.93 ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_180]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_179,plain,
% 4.73/4.93 ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6882_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11150,plain,
% 4.73/4.93 ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_179]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_178,plain,
% 4.73/4.93 ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6883_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11148,plain,
% 4.73/4.93 ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_178]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_177,plain,
% 4.73/4.93 ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6884_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11146,plain,
% 4.73/4.93 ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_177]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_176,plain,
% 4.73/4.93 ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6885_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11144,plain,
% 4.73/4.93 ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_176]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_175,plain,
% 4.73/4.93 ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6886_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11142,plain,
% 4.73/4.93 ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_175]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_174,plain,
% 4.73/4.93 ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6887_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11140,plain,
% 4.73/4.93 ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_174]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_173,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6888_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11138,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_173]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_172,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6889_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11136,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_172]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_171,plain,
% 4.73/4.93 ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6890_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11134,plain,
% 4.73/4.93 ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_171]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_170,plain,
% 4.73/4.93 ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6891_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11132,plain,
% 4.73/4.93 ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_170]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_169,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6892_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11130,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_169]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_168,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6893_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11128,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_168]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_167,plain,
% 4.73/4.93 ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6894_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11126,plain,
% 4.73/4.93 ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_167]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_166,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6895_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11124,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_166]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_165,plain,
% 4.73/4.93 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6896_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11122,plain,
% 4.73/4.93 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_165]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_164,plain,
% 4.73/4.93 ( class_Groups_Oone(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6897_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11120,plain,
% 4.73/4.93 ( class_Groups_Oone(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_164]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_163,plain,
% 4.73/4.93 ( class_Int_Onumber(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6898_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11118,plain,
% 4.73/4.93 ( class_Int_Onumber(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_163]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_162,plain,
% 4.73/4.93 ( class_Rings_Oidom(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6899_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11116,plain,
% 4.73/4.93 ( class_Rings_Oidom(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_162]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_161,plain,
% 4.73/4.93 ( class_Rings_Oring(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6900_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11114,plain,
% 4.73/4.93 ( class_Rings_Oring(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_161]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_160,plain,
% 4.73/4.93 ( class_Groups_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6901_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11112,plain,
% 4.73/4.93 ( class_Groups_Ozero(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_160]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_159,plain,
% 4.73/4.93 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6902_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11110,plain,
% 4.73/4.93 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_159]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_158,plain,
% 4.73/4.93 ( class_Fields_Ofield(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6903_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11108,plain,
% 4.73/4.93 ( class_Fields_Ofield(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_158]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_157,plain,
% 4.73/4.93 ( class_Rings_Oring__1(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6904_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11106,plain,
% 4.73/4.93 ( class_Rings_Oring__1(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_157]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_156,plain,
% 4.73/4.93 ( class_Orderings_Oord(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6905_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11104,plain,
% 4.73/4.93 ( class_Orderings_Oord(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_156]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_155,plain,
% 4.73/4.93 ( class_Rings_Osemiring(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6906_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11102,plain,
% 4.73/4.93 ( class_Rings_Osemiring(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_155]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_154,plain,
% 4.73/4.93 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6907_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11100,plain,
% 4.73/4.93 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_154]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_153,plain,
% 4.73/4.93 ( class_Int_Oring__char__0(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6908_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11098,plain,
% 4.73/4.93 ( class_Int_Oring__char__0(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_153]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_152,plain,
% 4.73/4.93 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6909_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11096,plain,
% 4.73/4.93 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_152]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_151,plain,
% 4.73/4.93 ( class_Rings_Omult__zero(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6910_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11094,plain,
% 4.73/4.93 ( class_Rings_Omult__zero(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_151]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_150,plain,
% 4.73/4.93 ( class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6911_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11092,plain,
% 4.73/4.93 ( class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_150]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_149,plain,
% 4.73/4.93 ( class_Rings_Osemiring__0(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6912_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11090,plain,
% 4.73/4.93 ( class_Rings_Osemiring__0(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_149]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_148,plain,
% 4.73/4.93 ( class_Rings_Osemiring__1(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6913_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11088,plain,
% 4.73/4.93 ( class_Rings_Osemiring__1(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_148]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_147,plain,
% 4.73/4.93 ( class_Groups_Omonoid__add(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6914_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11086,plain,
% 4.73/4.93 ( class_Groups_Omonoid__add(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_147]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_146,plain,
% 4.73/4.93 ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6915_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11084,plain,
% 4.73/4.93 ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_146]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_145,plain,
% 4.73/4.93 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6916_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11082,plain,
% 4.73/4.93 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_145]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_144,plain,
% 4.73/4.93 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6917_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11080,plain,
% 4.73/4.93 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_144]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_143,plain,
% 4.73/4.93 ( class_Rings_Oordered__ring(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6918_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11078,plain,
% 4.73/4.93 ( class_Rings_Oordered__ring(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_143]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_142,plain,
% 4.73/4.93 ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6919_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11076,plain,
% 4.73/4.93 ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_142]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_141,plain,
% 4.73/4.93 ( class_Groups_Oab__group__add(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6920_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11074,plain,
% 4.73/4.93 ( class_Groups_Oab__group__add(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_141]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_140,plain,
% 4.73/4.93 ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6921_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11072,plain,
% 4.73/4.93 ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_140]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_139,plain,
% 4.73/4.93 ( class_Rings_Odivision__ring(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6922_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11070,plain,
% 4.73/4.93 ( class_Rings_Odivision__ring(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_139]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_138,plain,
% 4.73/4.93 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6923_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11068,plain,
% 4.73/4.93 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_138]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_137,plain,
% 4.73/4.93 ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6924_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11066,plain,
% 4.73/4.93 ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_137]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_136,plain,
% 4.73/4.93 ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6925_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11064,plain,
% 4.73/4.93 ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_136]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_135,plain,
% 4.73/4.93 ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6926_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11062,plain,
% 4.73/4.93 ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_135]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_134,plain,
% 4.73/4.93 ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6927_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11060,plain,
% 4.73/4.93 ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_134]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_133,plain,
% 4.73/4.93 ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6928_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11058,plain,
% 4.73/4.93 ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_133]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_132,plain,
% 4.73/4.93 ( class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6929_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11056,plain,
% 4.73/4.93 ( class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_132]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_131,plain,
% 4.73/4.93 ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6930_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11054,plain,
% 4.73/4.93 ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_131]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_130,plain,
% 4.73/4.93 ( class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6931_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11052,plain,
% 4.73/4.93 ( class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_130]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_129,plain,
% 4.73/4.93 ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6932_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11050,plain,
% 4.73/4.93 ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_129]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_128,plain,
% 4.73/4.93 ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6933_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11048,plain,
% 4.73/4.93 ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_128]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_127,plain,
% 4.73/4.93 ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6934_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11046,plain,
% 4.73/4.93 ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_127]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_126,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6935_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11044,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_126]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_125,plain,
% 4.73/4.93 ( class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6936_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11042,plain,
% 4.73/4.93 ( class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_125]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_124,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6937_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11040,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_124]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_123,plain,
% 4.73/4.93 ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6938_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11038,plain,
% 4.73/4.93 ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_123]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_122,plain,
% 4.73/4.93 ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6939_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11036,plain,
% 4.73/4.93 ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_122]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_121,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6940_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11034,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_121]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_120,plain,
% 4.73/4.93 ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6941_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11032,plain,
% 4.73/4.93 ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_120]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_119,plain,
% 4.73/4.93 ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6942_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11030,plain,
% 4.73/4.93 ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_119]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_118,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6943_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11028,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_118]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_117,plain,
% 4.73/4.93 ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6944_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11026,plain,
% 4.73/4.93 ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_117]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_116,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6945_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11024,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_116]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_115,plain,
% 4.73/4.93 ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6946_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11022,plain,
% 4.73/4.93 ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_115]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_114,plain,
% 4.73/4.93 ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6947_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11020,plain,
% 4.73/4.93 ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_114]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_113,plain,
% 4.73/4.93 ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6948_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11018,plain,
% 4.73/4.93 ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_113]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_112,plain,
% 4.73/4.93 ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6949_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11016,plain,
% 4.73/4.93 ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_112]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_111,plain,
% 4.73/4.93 ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6950_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11014,plain,
% 4.73/4.93 ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_111]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_110,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6951_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11012,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_110]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_109,plain,
% 4.73/4.93 ( class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6952_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11010,plain,
% 4.73/4.93 ( class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_109]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_108,plain,
% 4.73/4.93 ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6953_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11008,plain,
% 4.73/4.93 ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_108]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_107,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6954_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11006,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_107]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_106,plain,
% 4.73/4.93 ( class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6955_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11004,plain,
% 4.73/4.93 ( class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_106]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_105,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6956_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11002,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_105]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_104,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6957_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_11000,plain,
% 4.73/4.93 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_104]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_103,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6958_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10998,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_103]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_102,plain,
% 4.73/4.93 ( class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6959_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10996,plain,
% 4.73/4.93 ( class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_102]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_101,plain,
% 4.73/4.93 ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6960_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10994,plain,
% 4.73/4.93 ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_101]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_100,plain,
% 4.73/4.93 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6961_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10992,plain,
% 4.73/4.93 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_100]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_99,plain,
% 4.73/4.93 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6962_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10990,plain,
% 4.73/4.93 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_99]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_98,plain,
% 4.73/4.93 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6963_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10988,plain,
% 4.73/4.93 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_98]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_97,plain,
% 4.73/4.93 ( class_Orderings_Oord(tc_HOL_Obool) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6964_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10986,plain,
% 4.73/4.93 ( class_Orderings_Oord(tc_HOL_Obool) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_97]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_96,plain,
% 4.73/4.93 ( class_Orderings_Oorder(tc_HOL_Obool) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6965_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10984,plain,
% 4.73/4.93 ( class_Orderings_Oorder(tc_HOL_Obool) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_96]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_95,plain,
% 4.73/4.93 ( class_Orderings_Opreorder(tc_HOL_Obool) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6966_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10982,plain,
% 4.73/4.93 ( class_Orderings_Opreorder(tc_HOL_Obool) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_95]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_94,plain,
% 4.73/4.93 ( class_Groups_Oone(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6967_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10980,plain,
% 4.73/4.93 ( class_Groups_Oone(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_94]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_93,plain,
% 4.73/4.93 ( class_Int_Onumber(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6968_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10978,plain,
% 4.73/4.93 ( class_Int_Onumber(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_93]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_92,plain,
% 4.73/4.93 ( class_Groups_Ozero(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6969_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10976,plain,
% 4.73/4.93 ( class_Groups_Ozero(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_92]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_91,plain,
% 4.73/4.93 ( class_Power_Opower(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6970_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10974,plain,
% 4.73/4.93 ( class_Power_Opower(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_91]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_90,plain,
% 4.73/4.93 ( class_Orderings_Oord(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6971_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10972,plain,
% 4.73/4.93 ( class_Orderings_Oord(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_90]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_89,plain,
% 4.73/4.93 ( class_Rings_Osemiring(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6972_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10970,plain,
% 4.73/4.93 ( class_Rings_Osemiring(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_89]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_88,plain,
% 4.73/4.93 ( class_Orderings_Oorder(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6973_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10968,plain,
% 4.73/4.93 ( class_Orderings_Oorder(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_88]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_87,plain,
% 4.73/4.93 ( class_Rings_Omult__zero(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6974_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10966,plain,
% 4.73/4.93 ( class_Rings_Omult__zero(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_87]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_86,plain,
% 4.73/4.93 ( class_Rings_Osemiring__0(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6975_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10964,plain,
% 4.73/4.93 ( class_Rings_Osemiring__0(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_86]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_85,plain,
% 4.73/4.93 ( class_Rings_Osemiring__1(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6976_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10962,plain,
% 4.73/4.93 ( class_Rings_Osemiring__1(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_85]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_84,plain,
% 4.73/4.93 ( class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6977_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10960,plain,
% 4.73/4.93 ( class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_84]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_83,plain,
% 4.73/4.93 ( class_Groups_Omonoid__mult(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6978_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10958,plain,
% 4.73/4.93 ( class_Groups_Omonoid__mult(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_83]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_82,plain,
% 4.73/4.93 ( class_Orderings_Olinorder(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6979_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10956,plain,
% 4.73/4.93 ( class_Orderings_Olinorder(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_82]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_81,plain,
% 4.73/4.93 ( class_Orderings_Opreorder(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6980_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10954,plain,
% 4.73/4.93 ( class_Orderings_Opreorder(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_81]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_80,plain,
% 4.73/4.93 ( class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6981_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10952,plain,
% 4.73/4.93 ( class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_80]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_79,plain,
% 4.73/4.93 ( class_Rings_Ocomm__semiring(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6982_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10950,plain,
% 4.73/4.93 ( class_Rings_Ocomm__semiring(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_79]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_78,plain,
% 4.73/4.93 ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6983_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10948,plain,
% 4.73/4.93 ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_78]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_77,plain,
% 4.73/4.93 ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6984_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10946,plain,
% 4.73/4.93 ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_77]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_76,plain,
% 4.73/4.93 ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6985_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10944,plain,
% 4.73/4.93 ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_76]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_75,plain,
% 4.73/4.93 ( class_Rings_Oordered__semiring(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6986_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10942,plain,
% 4.73/4.93 ( class_Rings_Oordered__semiring(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_75]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_74,plain,
% 4.73/4.93 ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6987_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10940,plain,
% 4.73/4.93 ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_74]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_73,plain,
% 4.73/4.93 ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6988_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10938,plain,
% 4.73/4.93 ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_73]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_72,plain,
% 4.73/4.93 ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6989_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10936,plain,
% 4.73/4.93 ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_72]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_71,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6990_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10934,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_71]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_70,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semiring(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6991_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10932,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semiring(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_70]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_69,plain,
% 4.73/4.93 ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6992_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10930,plain,
% 4.73/4.93 ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_69]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_68,plain,
% 4.73/4.93 ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6993_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10928,plain,
% 4.73/4.93 ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_68]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_67,plain,
% 4.73/4.93 ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6994_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10926,plain,
% 4.73/4.93 ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_67]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_66,plain,
% 4.73/4.93 ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6995_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10924,plain,
% 4.73/4.93 ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_66]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_65,plain,
% 4.73/4.93 ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6996_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10922,plain,
% 4.73/4.93 ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_65]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_64,plain,
% 4.73/4.93 ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6997_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10920,plain,
% 4.73/4.93 ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_64]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_63,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6998_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10918,plain,
% 4.73/4.93 ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_63]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_62,plain,
% 4.73/4.93 ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_6999_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10916,plain,
% 4.73/4.93 ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_62]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_61,plain,
% 4.73/4.93 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7000_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10914,plain,
% 4.73/4.93 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_61]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_60,plain,
% 4.73/4.93 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7001_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10912,plain,
% 4.73/4.93 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_60]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_59,plain,
% 4.73/4.93 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7002_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10910,plain,
% 4.73/4.93 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_59]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_58,plain,
% 4.73/4.93 ( class_Groups_Oone(tc_Int_Oint) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7003_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10908,plain,
% 4.73/4.93 ( class_Groups_Oone(tc_Int_Oint) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_58]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_57,plain,
% 4.73/4.93 ( class_Int_Onumber(tc_Int_Oint) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7004_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10906,plain,
% 4.73/4.93 ( class_Int_Onumber(tc_Int_Oint) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_57]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_56,plain,
% 4.73/4.93 ( class_Rings_Oidom(tc_Int_Oint) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7005_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10904,plain,
% 4.73/4.93 ( class_Rings_Oidom(tc_Int_Oint) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_56]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_55,plain,
% 4.73/4.93 ( class_Rings_Oring(tc_Int_Oint) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7006_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10902,plain,
% 4.73/4.93 ( class_Rings_Oring(tc_Int_Oint) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_55]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_54,plain,
% 4.73/4.93 ( class_Groups_Ozero(tc_Int_Oint) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7007_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10900,plain,
% 4.73/4.93 ( class_Groups_Ozero(tc_Int_Oint) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_54]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_53,plain,
% 4.73/4.93 ( class_Power_Opower(tc_Int_Oint) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7008_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10898,plain,
% 4.73/4.93 ( class_Power_Opower(tc_Int_Oint) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_53]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_52,plain,
% 4.73/4.93 ( class_Rings_Oring__1(tc_Int_Oint) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7009_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10896,plain,
% 4.73/4.93 ( class_Rings_Oring__1(tc_Int_Oint) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_52]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_51,plain,
% 4.73/4.93 ( class_Orderings_Oord(tc_Int_Oint) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7010_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10894,plain,
% 4.73/4.93 ( class_Orderings_Oord(tc_Int_Oint) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_51]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_50,plain,
% 4.73/4.93 ( class_Rings_Osemiring(tc_Int_Oint) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7011_0) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_10892,plain,
% 4.73/4.93 ( class_Rings_Osemiring(tc_Int_Oint) ),
% 4.73/4.93 inference(copy,[status(esa)],[c_50]) ).
% 4.73/4.93
% 4.73/4.93 cnf(c_49,plain,
% 4.73/4.93 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 4.73/4.93 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7012_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10890,plain,
% 4.73/4.94 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_49]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_48,plain,
% 4.73/4.94 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7013_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10888,plain,
% 4.73/4.94 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_48]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_47,plain,
% 4.73/4.94 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7014_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10886,plain,
% 4.73/4.94 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_47]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_46,plain,
% 4.73/4.94 ( class_Rings_Omult__zero(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7015_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10884,plain,
% 4.73/4.94 ( class_Rings_Omult__zero(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_46]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_45,plain,
% 4.73/4.94 ( class_Groups_Ogroup__add(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7016_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10882,plain,
% 4.73/4.94 ( class_Groups_Ogroup__add(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_45]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_44,plain,
% 4.73/4.94 ( class_Rings_Osemiring__0(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7017_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10880,plain,
% 4.73/4.94 ( class_Rings_Osemiring__0(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_44]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_43,plain,
% 4.73/4.94 ( class_Rings_Osemiring__1(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7018_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10878,plain,
% 4.73/4.94 ( class_Rings_Osemiring__1(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_43]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_42,plain,
% 4.73/4.94 ( class_Groups_Omonoid__add(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7019_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10876,plain,
% 4.73/4.94 ( class_Groups_Omonoid__add(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_42]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_41,plain,
% 4.73/4.94 ( class_Groups_Omonoid__mult(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7020_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10874,plain,
% 4.73/4.94 ( class_Groups_Omonoid__mult(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_41]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_40,plain,
% 4.73/4.94 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7021_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10872,plain,
% 4.73/4.94 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_40]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_39,plain,
% 4.73/4.94 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7022_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10870,plain,
% 4.73/4.94 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_39]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_38,plain,
% 4.73/4.94 ( class_Rings_Oordered__ring(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7023_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10868,plain,
% 4.73/4.94 ( class_Rings_Oordered__ring(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_38]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_37,plain,
% 4.73/4.94 ( class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7024_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10866,plain,
% 4.73/4.94 ( class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_37]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_36,plain,
% 4.73/4.94 ( class_Groups_Oab__group__add(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7025_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10864,plain,
% 4.73/4.94 ( class_Groups_Oab__group__add(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_36]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_35,plain,
% 4.73/4.94 ( class_Rings_Ocomm__semiring(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7026_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10862,plain,
% 4.73/4.94 ( class_Rings_Ocomm__semiring(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_35]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_34,plain,
% 4.73/4.94 ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7027_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10860,plain,
% 4.73/4.94 ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_34]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_33,plain,
% 4.73/4.94 ( class_Rings_Olinordered__idom(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7028_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10858,plain,
% 4.73/4.94 ( class_Rings_Olinordered__idom(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_33]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_32,plain,
% 4.73/4.94 ( class_Rings_Olinordered__ring(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7029_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10856,plain,
% 4.73/4.94 ( class_Rings_Olinordered__ring(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_32]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_31,plain,
% 4.73/4.94 ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7030_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10854,plain,
% 4.73/4.94 ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_31]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_30,plain,
% 4.73/4.94 ( class_Rings_Ono__zero__divisors(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7031_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10852,plain,
% 4.73/4.94 ( class_Rings_Ono__zero__divisors(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_30]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_29,plain,
% 4.73/4.94 ( class_Rings_Oordered__ring__abs(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7032_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10850,plain,
% 4.73/4.94 ( class_Rings_Oordered__ring__abs(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_29]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_28,plain,
% 4.73/4.94 ( class_Rings_Oordered__semiring(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7033_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10848,plain,
% 4.73/4.94 ( class_Rings_Oordered__semiring(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_28]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_27,plain,
% 4.73/4.94 ( class_Groups_Oab__semigroup__add(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7034_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10846,plain,
% 4.73/4.94 ( class_Groups_Oab__semigroup__add(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_27]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_26,plain,
% 4.73/4.94 ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7035_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10844,plain,
% 4.73/4.94 ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_26]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_25,plain,
% 4.73/4.94 ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7036_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10842,plain,
% 4.73/4.94 ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_25]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_24,plain,
% 4.73/4.94 ( class_Rings_Olinordered__semidom(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7037_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10840,plain,
% 4.73/4.94 ( class_Rings_Olinordered__semidom(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_24]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_23,plain,
% 4.73/4.94 ( class_Rings_Olinordered__semiring(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7038_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10838,plain,
% 4.73/4.94 ( class_Rings_Olinordered__semiring(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_23]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_22,plain,
% 4.73/4.94 ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7039_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10836,plain,
% 4.73/4.94 ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_22]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_21,plain,
% 4.73/4.94 ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7040_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10834,plain,
% 4.73/4.94 ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_21]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_20,plain,
% 4.73/4.94 ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7041_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10832,plain,
% 4.73/4.94 ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_20]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_19,plain,
% 4.73/4.94 ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7042_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10830,plain,
% 4.73/4.94 ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_19]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_18,plain,
% 4.73/4.94 ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7043_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10828,plain,
% 4.73/4.94 ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_18]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_17,plain,
% 4.73/4.94 ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7044_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10826,plain,
% 4.73/4.94 ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_17]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_16,plain,
% 4.73/4.94 ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7045_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10824,plain,
% 4.73/4.94 ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_16]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_15,plain,
% 4.73/4.94 ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7046_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10822,plain,
% 4.73/4.94 ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_15]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_14,plain,
% 4.73/4.94 ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7047_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10820,plain,
% 4.73/4.94 ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_14]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_13,plain,
% 4.73/4.94 ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7048_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10818,plain,
% 4.73/4.94 ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_13]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_12,plain,
% 4.73/4.94 ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7049_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10816,plain,
% 4.73/4.94 ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_12]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_11,plain,
% 4.73/4.94 ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7050_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10814,plain,
% 4.73/4.94 ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_11]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10,plain,
% 4.73/4.94 ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7051_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10812,plain,
% 4.73/4.94 ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_10]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_9,plain,
% 4.73/4.94 ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7052_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10810,plain,
% 4.73/4.94 ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_9]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_8,plain,
% 4.73/4.94 ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7053_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10808,plain,
% 4.73/4.94 ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_8]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_7,plain,
% 4.73/4.94 ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7054_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10806,plain,
% 4.73/4.94 ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_7]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_6,plain,
% 4.73/4.94 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7055_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10804,plain,
% 4.73/4.94 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_6]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_5,plain,
% 4.73/4.94 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7056_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10802,plain,
% 4.73/4.94 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_5]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_4,plain,
% 4.73/4.94 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7057_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10800,plain,
% 4.73/4.94 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_4]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_1,plain,
% 4.73/4.94 ( c_SEQ_Osubseq(v_ga____) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7060_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10796,plain,
% 4.73/4.94 ( c_SEQ_Osubseq(v_ga____) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_1]) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_0,plain,
% 4.73/4.94 ( c_SEQ_Osubseq(v_f____) ),
% 4.73/4.94 file('/export/starexec/sandbox/tmp/iprover_modulo_f760e1.p', c_0_7061_0) ).
% 4.73/4.94
% 4.73/4.94 cnf(c_10794,plain,
% 4.73/4.94 ( c_SEQ_Osubseq(v_f____) ),
% 4.73/4.94 inference(copy,[status(esa)],[c_0]) ).
% 4.73/4.94
% 4.73/4.94
% 4.73/4.94
% 4.73/4.94 % ------ Statistics
% 4.73/4.94
% 4.73/4.94 % ------ General
% 4.73/4.94
% 4.73/4.94 % num_of_input_clauses: 4808
% 4.73/4.94 % num_of_input_neg_conjectures: 1
% 4.73/4.94 % num_of_splits: 8
% 4.73/4.94 % num_of_split_atoms: 4
% 4.73/4.94 % num_of_sem_filtered_clauses: 0
% 4.73/4.94 % num_of_subtypes: 0
% 4.73/4.94 % monotx_restored_types: 0
% 4.73/4.94 % sat_num_of_epr_types: 0
% 4.73/4.94 % sat_num_of_non_cyclic_types: 0
% 4.73/4.94 % sat_guarded_non_collapsed_types: 0
% 4.73/4.94 % is_epr: 0
% 4.73/4.94 % is_horn: 0
% 4.73/4.94 % has_eq: 1
% 4.73/4.94 % num_pure_diseq_elim: 0
% 4.73/4.94 % simp_replaced_by: 0
% 4.73/4.94 % res_preprocessed: 14
% 4.73/4.94 % prep_upred: 0
% 4.73/4.94 % prep_unflattend: 0
% 4.73/4.94 % pred_elim_cands: 6
% 4.73/4.94 % pred_elim: 6
% 4.73/4.94 % pred_elim_cl: 8
% 4.73/4.94 % pred_elim_cycles: 6
% 4.73/4.94 % forced_gc_time: 0
% 4.73/4.94 % gc_basic_clause_elim: 0
% 4.73/4.94 % parsing_time: 0.185
% 4.73/4.94 % sem_filter_time: 0.
% 4.73/4.94 % pred_elim_time: 0.
% 4.73/4.94 % out_proof_time: 0.
% 4.73/4.94 % monotx_time: 0.
% 4.73/4.94 % subtype_inf_time: 0.
% 4.73/4.94 % unif_index_cands_time: 0.
% 4.73/4.94 % unif_index_add_time: 0.003
% 4.73/4.94 % total_time: 3.912
% 4.73/4.94 % num_of_symbols: 156
% 4.73/4.94 % num_of_terms: 5659
% 4.73/4.94
% 4.73/4.94 % ------ Propositional Solver
% 4.73/4.94
% 4.73/4.94 % prop_solver_calls: 1
% 4.73/4.94 % prop_fast_solver_calls: 55
% 4.73/4.94 % prop_num_of_clauses: 3339
% 4.73/4.94 % prop_preprocess_simplified: 15487
% 4.73/4.94 % prop_fo_subsumed: 4
% 4.73/4.94 % prop_solver_time: 0.
% 4.73/4.94 % prop_fast_solver_time: 0.
% 4.73/4.94 % prop_unsat_core_time: 0.
% 4.73/4.94
% 4.73/4.94 % ------ QBF
% 4.73/4.94
% 4.73/4.94 % qbf_q_res: 0
% 4.73/4.94 % qbf_num_tautologies: 0
% 4.73/4.94 % qbf_prep_cycles: 0
% 4.73/4.94
% 4.73/4.94 % ------ BMC1
% 4.73/4.94
% 4.73/4.94 % bmc1_current_bound: -1
% 4.73/4.94 % bmc1_last_solved_bound: -1
% 4.73/4.94 % bmc1_unsat_core_size: -1
% 4.73/4.94 % bmc1_unsat_core_parents_size: -1
% 4.73/4.94 % bmc1_merge_next_fun: 0
% 4.73/4.94 % bmc1_unsat_core_clauses_time: 0.
% 4.73/4.94
% 4.73/4.94 % ------ Instantiation
% 4.73/4.94
% 4.73/4.94 % inst_num_of_clauses: 4505
% 4.73/4.94 % inst_num_in_passive: 0
% 4.73/4.94 % inst_num_in_active: 0
% 4.73/4.94 % inst_num_in_unprocessed: 4804
% 4.73/4.94 % inst_num_of_loops: 0
% 4.73/4.94 % inst_num_of_learning_restarts: 0
% 4.73/4.94 % inst_num_moves_active_passive: 0
% 4.73/4.94 % inst_lit_activity: 0
% 4.73/4.94 % inst_lit_activity_moves: 0
% 4.73/4.94 % inst_num_tautologies: 0
% 4.73/4.94 % inst_num_prop_implied: 0
% 4.73/4.94 % inst_num_existing_simplified: 0
% 4.73/4.94 % inst_num_eq_res_simplified: 0
% 4.73/4.94 % inst_num_child_elim: 0
% 4.73/4.94 % inst_num_of_dismatching_blockings: 0
% 4.73/4.94 % inst_num_of_non_proper_insts: 0
% 4.73/4.94 % inst_num_of_duplicates: 0
% 4.73/4.94 % inst_inst_num_from_inst_to_res: 0
% 4.73/4.94 % inst_dismatching_checking_time: 0.
% 4.73/4.94
% 4.73/4.94 % ------ Resolution
% 4.73/4.94
% 4.73/4.94 % res_num_of_clauses: 5187
% 4.73/4.94 % res_num_in_passive: 0
% 4.73/4.94 % res_num_in_active: 1584
% 4.73/4.94 % res_num_of_loops: 2
% 4.73/4.94 % res_forward_subset_subsumed: 2870
% 4.73/4.94 % res_backward_subset_subsumed: 0
% 4.73/4.94 % res_forward_subsumed: 0
% 4.73/4.94 % res_backward_subsumed: 0
% 4.73/4.94 % res_forward_subsumption_resolution: 0
% 4.73/4.94 % res_backward_subsumption_resolution: 0
% 4.73/4.94 % res_clause_to_clause_subsumption: 18
% 4.73/4.94 % res_orphan_elimination: 0
% 4.73/4.94 % res_tautology_del: 251
% 4.73/4.94 % res_num_eq_res_simplified: 0
% 4.73/4.94 % res_num_sel_changes: 0
% 4.73/4.94 % res_moves_from_active_to_pass: 0
% 4.73/4.94
% 4.73/4.94 % Status Unknown
% 4.73/4.94 % Last status :
% 4.73/4.94 % SZS status Unknown
%------------------------------------------------------------------------------