TSTP Solution File: SWW219+1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWW219+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:28:54 EDT 2022
% Result : Unknown 6.06s 6.23s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW219+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 5 22:17:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.49/0.67 % Orienting using strategy Equiv(ClausalAll)
% 0.49/0.67 % FOF problem with conjecture
% 0.49/0.67 % 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_d3b988.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_cb3710.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_5fb10d | grep -v "SZS"
% 0.49/0.70
% 0.49/0.70 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.49/0.70
% 0.49/0.70 %
% 0.49/0.70 % ------ iProver source info
% 0.49/0.70
% 0.49/0.70 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.49/0.70 % git: non_committed_changes: true
% 0.49/0.70 % git: last_make_outside_of_git: true
% 0.49/0.70
% 0.49/0.70 %
% 0.49/0.70 % ------ Input Options
% 0.49/0.70
% 0.49/0.70 % --out_options all
% 0.49/0.70 % --tptp_safe_out true
% 0.49/0.70 % --problem_path ""
% 0.49/0.70 % --include_path ""
% 0.49/0.70 % --clausifier .//eprover
% 0.49/0.70 % --clausifier_options --tstp-format
% 0.49/0.70 % --stdin false
% 0.49/0.70 % --dbg_backtrace false
% 0.49/0.70 % --dbg_dump_prop_clauses false
% 0.49/0.70 % --dbg_dump_prop_clauses_file -
% 0.49/0.70 % --dbg_out_stat false
% 0.49/0.70
% 0.49/0.70 % ------ General Options
% 0.49/0.70
% 0.49/0.70 % --fof false
% 0.49/0.70 % --time_out_real 150.
% 0.49/0.70 % --time_out_prep_mult 0.2
% 0.49/0.70 % --time_out_virtual -1.
% 0.49/0.70 % --schedule none
% 0.49/0.70 % --ground_splitting input
% 0.49/0.70 % --splitting_nvd 16
% 0.49/0.70 % --non_eq_to_eq false
% 0.49/0.70 % --prep_gs_sim true
% 0.49/0.70 % --prep_unflatten false
% 0.49/0.70 % --prep_res_sim true
% 0.49/0.70 % --prep_upred true
% 0.49/0.70 % --res_sim_input true
% 0.49/0.70 % --clause_weak_htbl true
% 0.49/0.70 % --gc_record_bc_elim false
% 0.49/0.70 % --symbol_type_check false
% 0.49/0.70 % --clausify_out false
% 0.49/0.70 % --large_theory_mode false
% 0.49/0.70 % --prep_sem_filter none
% 0.49/0.70 % --prep_sem_filter_out false
% 0.49/0.70 % --preprocessed_out false
% 0.49/0.70 % --sub_typing false
% 0.49/0.70 % --brand_transform false
% 0.49/0.70 % --pure_diseq_elim true
% 0.49/0.70 % --min_unsat_core false
% 0.49/0.70 % --pred_elim true
% 0.49/0.70 % --add_important_lit false
% 0.49/0.70 % --soft_assumptions false
% 0.49/0.70 % --reset_solvers false
% 0.49/0.70 % --bc_imp_inh []
% 0.49/0.70 % --conj_cone_tolerance 1.5
% 0.49/0.70 % --prolific_symb_bound 500
% 0.49/0.70 % --lt_threshold 2000
% 0.49/0.70
% 0.49/0.70 % ------ SAT Options
% 0.49/0.70
% 0.49/0.70 % --sat_mode false
% 0.49/0.70 % --sat_fm_restart_options ""
% 0.49/0.70 % --sat_gr_def false
% 0.49/0.70 % --sat_epr_types true
% 0.49/0.70 % --sat_non_cyclic_types false
% 0.49/0.70 % --sat_finite_models false
% 0.49/0.70 % --sat_fm_lemmas false
% 0.49/0.70 % --sat_fm_prep false
% 0.49/0.70 % --sat_fm_uc_incr true
% 0.49/0.70 % --sat_out_model small
% 0.49/0.70 % --sat_out_clauses false
% 0.49/0.70
% 0.49/0.70 % ------ QBF Options
% 0.49/0.70
% 0.49/0.70 % --qbf_mode false
% 0.49/0.70 % --qbf_elim_univ true
% 0.49/0.70 % --qbf_sk_in true
% 0.49/0.70 % --qbf_pred_elim true
% 0.49/0.70 % --qbf_split 32
% 0.49/0.70
% 0.49/0.70 % ------ BMC1 Options
% 0.49/0.70
% 0.49/0.70 % --bmc1_incremental false
% 0.49/0.70 % --bmc1_axioms reachable_all
% 0.49/0.70 % --bmc1_min_bound 0
% 0.49/0.70 % --bmc1_max_bound -1
% 0.49/0.70 % --bmc1_max_bound_default -1
% 0.49/0.70 % --bmc1_symbol_reachability true
% 0.49/0.70 % --bmc1_property_lemmas false
% 0.49/0.70 % --bmc1_k_induction false
% 0.49/0.70 % --bmc1_non_equiv_states false
% 0.49/0.70 % --bmc1_deadlock false
% 0.49/0.70 % --bmc1_ucm false
% 0.49/0.70 % --bmc1_add_unsat_core none
% 0.49/0.70 % --bmc1_unsat_core_children false
% 0.49/0.70 % --bmc1_unsat_core_extrapolate_axioms false
% 0.49/0.70 % --bmc1_out_stat full
% 0.49/0.70 % --bmc1_ground_init false
% 0.49/0.70 % --bmc1_pre_inst_next_state false
% 0.49/0.70 % --bmc1_pre_inst_state false
% 0.49/0.70 % --bmc1_pre_inst_reach_state false
% 0.49/0.70 % --bmc1_out_unsat_core false
% 0.49/0.70 % --bmc1_aig_witness_out false
% 0.49/0.70 % --bmc1_verbose false
% 0.49/0.70 % --bmc1_dump_clauses_tptp false
% 0.49/0.72 % --bmc1_dump_unsat_core_tptp false
% 0.49/0.72 % --bmc1_dump_file -
% 0.49/0.72 % --bmc1_ucm_expand_uc_limit 128
% 0.49/0.72 % --bmc1_ucm_n_expand_iterations 6
% 0.49/0.72 % --bmc1_ucm_extend_mode 1
% 0.49/0.72 % --bmc1_ucm_init_mode 2
% 0.49/0.72 % --bmc1_ucm_cone_mode none
% 0.49/0.72 % --bmc1_ucm_reduced_relation_type 0
% 0.49/0.72 % --bmc1_ucm_relax_model 4
% 0.49/0.72 % --bmc1_ucm_full_tr_after_sat true
% 0.49/0.72 % --bmc1_ucm_expand_neg_assumptions false
% 0.49/0.72 % --bmc1_ucm_layered_model none
% 0.49/0.72 % --bmc1_ucm_max_lemma_size 10
% 0.49/0.72
% 0.49/0.72 % ------ AIG Options
% 0.49/0.72
% 0.49/0.72 % --aig_mode false
% 0.49/0.72
% 0.49/0.72 % ------ Instantiation Options
% 0.49/0.72
% 0.49/0.72 % --instantiation_flag true
% 0.49/0.72 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.49/0.72 % --inst_solver_per_active 750
% 0.49/0.72 % --inst_solver_calls_frac 0.5
% 0.49/0.72 % --inst_passive_queue_type priority_queues
% 0.49/0.72 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.49/0.72 % --inst_passive_queues_freq [25;2]
% 0.49/0.72 % --inst_dismatching true
% 0.49/0.72 % --inst_eager_unprocessed_to_passive true
% 0.49/0.72 % --inst_prop_sim_given true
% 0.49/0.72 % --inst_prop_sim_new false
% 0.49/0.72 % --inst_orphan_elimination true
% 0.49/0.72 % --inst_learning_loop_flag true
% 0.49/0.72 % --inst_learning_start 3000
% 0.49/0.72 % --inst_learning_factor 2
% 0.49/0.72 % --inst_start_prop_sim_after_learn 3
% 0.49/0.72 % --inst_sel_renew solver
% 0.49/0.72 % --inst_lit_activity_flag true
% 0.49/0.72 % --inst_out_proof true
% 0.49/0.72
% 0.49/0.72 % ------ Resolution Options
% 0.49/0.72
% 0.49/0.72 % --resolution_flag true
% 0.49/0.72 % --res_lit_sel kbo_max
% 0.49/0.72 % --res_to_prop_solver none
% 0.49/0.72 % --res_prop_simpl_new false
% 0.49/0.72 % --res_prop_simpl_given false
% 0.49/0.72 % --res_passive_queue_type priority_queues
% 0.49/0.72 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.49/0.72 % --res_passive_queues_freq [15;5]
% 0.49/0.72 % --res_forward_subs full
% 0.49/0.72 % --res_backward_subs full
% 0.49/0.72 % --res_forward_subs_resolution true
% 0.49/0.72 % --res_backward_subs_resolution true
% 0.49/0.72 % --res_orphan_elimination false
% 0.49/0.72 % --res_time_limit 1000.
% 0.49/0.72 % --res_out_proof true
% 0.49/0.72 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d3b988.s
% 0.49/0.72 % --modulo true
% 0.49/0.72
% 0.49/0.72 % ------ Combination Options
% 0.49/0.72
% 0.49/0.72 % --comb_res_mult 1000
% 0.49/0.72 % --comb_inst_mult 300
% 0.49/0.72 % ------
% 0.49/0.72
% 0.49/0.72 % ------ Parsing...%
% 0.49/0.72
% 0.49/0.72
% 0.49/0.72 % ------ Statistics
% 0.49/0.72
% 0.49/0.72 % ------ General
% 0.49/0.72
% 0.49/0.72 % num_of_input_clauses: 656
% 0.49/0.72 % num_of_input_neg_conjectures: 0
% 0.49/0.72 % num_of_splits: 0
% 0.49/0.72 % num_of_split_atoms: 0
% 0.49/0.72 % num_of_sem_filtered_clauses: 0
% 0.49/0.72 % num_of_subtypes: 0
% 0.49/0.72 % monotx_restored_types: 0
% 0.49/0.72 % sat_num_of_epr_types: 0
% 0.49/0.72 % sat_num_of_non_cyclic_types: 0
% 0.49/0.72 % sat_guarded_non_collapsed_types: 0
% 0.49/0.72 % is_epr: 0
% 0.49/0.72 % is_horn: 0
% 0.49/0.72 % has_eq: 0
% 0.49/0.72 % num_pure_diseq_elim: 0
% 0.49/0.72 % simp_replaced_by: 0
% 0.49/0.72 % res_preprocessed: 0
% 0.49/0.72 % prep_upred: 0
% 0.49/0.72 % prep_unflattend: 0
% 0.49/0.72 % pred_elim_cands: 0
% 0.49/0.72 % pred_elim: 0
% 0.49/0.72 % pred_elim_cl: 0
% 0.49/0.72 % pred_elim_cycles: 0
% 0.49/0.72 % forced_gc_time: 0
% 0.49/0.72 % gc_basic_clause_elim: 0
% 0.49/0.72 % parsing_time: 0.
% 0.49/0.72 % sem_filter_time: 0.
% 0.49/0.72 % pred_elim_time: 0.
% 0.49/0.72 % out_proof_time: 0.
% 0.49/0.72 % monotx_time: 0.
% 0.49/0.72 % subtype_inf_time: 0.
% 0.49/0.72 % unif_index_cands_time: 0.
% 0.49/0.72 % uFatal error: exception Failure("Parse error in: /export/starexec/sandbox/tmp/iprover_modulo_cb3710.p line: 659 near token: '!='")
% 0.49/0.72 nif_index_add_time: 0.
% 0.49/0.72 % total_time: 0.04
% 0.49/0.72 % num_of_symbols: 140
% 0.49/0.72 % num_of_terms: 1463
% 0.49/0.72
% 0.49/0.72 % ------ Propositional Solver
% 0.49/0.72
% 0.49/0.72 % prop_solver_calls: 0
% 0.49/0.72 % prop_fast_solver_calls: 0
% 0.49/0.72 % prop_num_of_clauses: 0
% 0.49/0.72 % prop_preprocess_simplified: 0
% 0.49/0.72 % prop_fo_subsumed: 0
% 0.49/0.72 % prop_solver_time: 0.
% 0.49/0.72 % prop_fast_solver_time: 0.
% 0.49/0.72 % prop_unsat_core_time: 0.
% 0.49/0.72
% 0.49/0.72 % ------ QBF
% 0.49/0.72
% 0.49/0.72 % qbf_q_res: 0
% 0.49/0.72 % qbf_num_tautologies: 0
% 0.49/0.72 % qbf_prep_cycles: 0
% 0.49/0.72
% 0.49/0.72 % ------ BMC1
% 0.49/0.72
% 0.49/0.72 % bmc1_current_bound: -1
% 0.49/0.72 % bmc1_last_solved_bound: -1
% 0.49/0.72 % bmc1_unsat_core_size: -1
% 0.49/0.72 % bmc1_unsat_core_parents_size: -1
% 0.49/0.72 % bmc1_merge_next_fun: 0
% 0.49/0.72 % bmc1_unsat_core_clauses_time: 0.
% 0.49/0.72
% 0.49/0.72 % ------ Instantiation
% 0.49/0.72
% 0.49/0.72 % inst_num_of_clauses: undef
% 0.49/0.72 % inst_num_in_passive: undef
% 0.49/0.72 % inst_num_in_active: 0
% 0.49/0.72 % inst_num_in_unprocessed: 0
% 0.49/0.72 % inst_num_of_loops: 0
% 0.49/0.72 % inst_num_of_learning_restarts: 0
% 0.49/0.72 % inst_num_moves_active_passive: 0
% 0.49/0.72 % inst_lit_activity: 0
% 0.49/0.72 % inst_lit_activity_moves: 0
% 0.49/0.72 % inst_num_tautologies: 0
% 0.49/0.72 % inst_num_prop_implied: 0
% 0.49/0.72 % inst_num_existing_simplified: 0
% 0.49/0.72 % inst_num_eq_res_simplified: 0
% 0.49/0.72 % inst_num_child_elim: 0
% 0.49/0.72 % inst_num_of_dismatching_blockings: 0
% 0.49/0.72 % inst_num_of_non_proper_insts: 0
% 0.49/0.72 % inst_num_of_duplicates: 0
% 0.49/0.72 % inst_inst_num_from_inst_to_res: 0
% 0.49/0.72 % inst_dismatching_checking_time: 0.
% 0.49/0.72
% 0.49/0.72 % ------ Resolution
% 0.49/0.72
% 0.49/0.72 % res_num_of_clauses: undef
% 0.49/0.72 % res_num_in_passive: undef
% 0.49/0.72 % res_num_in_active: 0
% 0.49/0.72 % res_num_of_loops: 0
% 0.49/0.72 % res_forward_subset_subsumed: 0
% 0.49/0.72 % res_backward_subset_subsumed: 0
% 0.49/0.72 % res_forward_subsumed: 0
% 0.49/0.72 % res_backward_subsumed: 0
% 0.49/0.72 % res_forward_subsumption_resolution: 0
% 0.49/0.72 % res_backward_subsumption_resolution: 0
% 0.49/0.72 % res_clause_to_clause_subsumption: 0
% 0.49/0.72 % res_orphan_elimination: 0
% 0.49/0.72 % res_tautology_del: 0
% 0.49/0.72 % res_num_eq_res_simplified: 0
% 0.49/0.72 % res_num_sel_changes: 0
% 0.49/0.72 % res_moves_from_active_to_pass: 0
% 0.49/0.72
% 0.49/0.72 % Status Unknown
% 0.58/1.01 % Orienting using strategy ClausalAll
% 0.58/1.01 % FOF problem with conjecture
% 0.58/1.01 % 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_d3b988.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_cb3710.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_b7bd8e | grep -v "SZS"
% 0.89/1.02
% 0.89/1.02 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.89/1.02
% 0.89/1.02 %
% 0.89/1.02 % ------ iProver source info
% 0.89/1.02
% 0.89/1.02 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.89/1.02 % git: non_committed_changes: true
% 0.89/1.02 % git: last_make_outside_of_git: true
% 0.89/1.02
% 0.89/1.02 %
% 0.89/1.02 % ------ Input Options
% 0.89/1.02
% 0.89/1.02 % --out_options all
% 0.89/1.02 % --tptp_safe_out true
% 0.89/1.02 % --problem_path ""
% 0.89/1.02 % --include_path ""
% 0.89/1.02 % --clausifier .//eprover
% 0.89/1.02 % --clausifier_options --tstp-format
% 0.89/1.02 % --stdin false
% 0.89/1.02 % --dbg_backtrace false
% 0.89/1.02 % --dbg_dump_prop_clauses false
% 0.89/1.02 % --dbg_dump_prop_clauses_file -
% 0.89/1.02 % --dbg_out_stat false
% 0.89/1.02
% 0.89/1.02 % ------ General Options
% 0.89/1.02
% 0.89/1.02 % --fof false
% 0.89/1.02 % --time_out_real 150.
% 0.89/1.02 % --time_out_prep_mult 0.2
% 0.89/1.02 % --time_out_virtual -1.
% 0.89/1.02 % --schedule none
% 0.89/1.02 % --ground_splitting input
% 0.89/1.02 % --splitting_nvd 16
% 0.89/1.02 % --non_eq_to_eq false
% 0.89/1.02 % --prep_gs_sim true
% 0.89/1.02 % --prep_unflatten false
% 0.89/1.02 % --prep_res_sim true
% 0.89/1.02 % --prep_upred true
% 0.89/1.02 % --res_sim_input true
% 0.89/1.02 % --clause_weak_htbl true
% 0.89/1.02 % --gc_record_bc_elim false
% 0.89/1.02 % --symbol_type_check false
% 0.89/1.02 % --clausify_out false
% 0.89/1.02 % --large_theory_mode false
% 0.89/1.02 % --prep_sem_filter none
% 0.89/1.02 % --prep_sem_filter_out false
% 0.89/1.02 % --preprocessed_out false
% 0.89/1.02 % --sub_typing false
% 0.89/1.02 % --brand_transform false
% 0.89/1.02 % --pure_diseq_elim true
% 0.89/1.02 % --min_unsat_core false
% 0.89/1.02 % --pred_elim true
% 0.89/1.02 % --add_important_lit false
% 0.89/1.02 % --soft_assumptions false
% 0.89/1.02 % --reset_solvers false
% 0.89/1.02 % --bc_imp_inh []
% 0.89/1.02 % --conj_cone_tolerance 1.5
% 0.89/1.02 % --prolific_symb_bound 500
% 0.89/1.02 % --lt_threshold 2000
% 0.89/1.02
% 0.89/1.02 % ------ SAT Options
% 0.89/1.02
% 0.89/1.02 % --sat_mode false
% 0.89/1.02 % --sat_fm_restart_options ""
% 0.89/1.02 % --sat_gr_def false
% 0.89/1.02 % --sat_epr_types true
% 0.89/1.02 % --sat_non_cyclic_types false
% 0.89/1.02 % --sat_finite_models false
% 0.89/1.02 % --sat_fm_lemmas false
% 0.89/1.02 % --sat_fm_prep false
% 0.89/1.02 % --sat_fm_uc_incr true
% 0.89/1.02 % --sat_out_model small
% 0.89/1.02 % --sat_out_clauses false
% 0.89/1.02
% 0.89/1.02 % ------ QBF Options
% 0.89/1.02
% 0.89/1.02 % --qbf_mode false
% 0.89/1.02 % --qbf_elim_univ true
% 0.89/1.02 % --qbf_sk_in true
% 0.89/1.02 % --qbf_pred_elim true
% 0.89/1.02 % --qbf_split 32
% 0.89/1.02
% 0.89/1.02 % ------ BMC1 Options
% 0.89/1.02
% 0.89/1.02 % --bmc1_incremental false
% 0.89/1.02 % --bmc1_axioms reachable_all
% 0.89/1.02 % --bmc1_min_bound 0
% 0.89/1.02 % --bmc1_max_bound -1
% 0.89/1.02 % --bmc1_max_bound_default -1
% 0.89/1.02 % --bmc1_symbol_reachability true
% 0.89/1.02 % --bmc1_property_lemmas false
% 0.89/1.02 % --bmc1_k_induction false
% 0.89/1.02 % --bmc1_non_equiv_states false
% 0.89/1.02 % --bmc1_deadlock false
% 0.89/1.02 % --bmc1_ucm false
% 0.89/1.02 % --bmc1_add_unsat_core none
% 0.89/1.02 % --bmc1_unsat_core_children false
% 0.89/1.02 % --bmc1_unsat_core_extrapolate_axioms false
% 0.89/1.02 % --bmc1_out_stat full
% 0.89/1.02 % --bmc1_ground_init false
% 0.89/1.02 % --bmc1_pre_inst_next_state false
% 0.89/1.02 % --bmc1_pre_inst_state false
% 0.89/1.02 % --bmc1_pre_inst_reach_state false
% 0.89/1.02 % --bmc1_out_unsat_core false
% 0.89/1.02 % --bmc1_aig_witness_out false
% 0.89/1.02 % --bmc1_verbose false
% 0.89/1.02 % --bmc1_dump_clauses_tptp false
% 5.85/6.08 % --bmc1_dump_unsat_core_tptp false
% 5.85/6.08 % --bmc1_dump_file -
% 5.85/6.08 % --bmc1_ucm_expand_uc_limit 128
% 5.85/6.08 % --bmc1_ucm_n_expand_iterations 6
% 5.85/6.08 % --bmc1_ucm_extend_mode 1
% 5.85/6.08 % --bmc1_ucm_init_mode 2
% 5.85/6.08 % --bmc1_ucm_cone_mode none
% 5.85/6.08 % --bmc1_ucm_reduced_relation_type 0
% 5.85/6.08 % --bmc1_ucm_relax_model 4
% 5.85/6.08 % --bmc1_ucm_full_tr_after_sat true
% 5.85/6.08 % --bmc1_ucm_expand_neg_assumptions false
% 5.85/6.08 % --bmc1_ucm_layered_model none
% 5.85/6.08 % --bmc1_ucm_max_lemma_size 10
% 5.85/6.08
% 5.85/6.08 % ------ AIG Options
% 5.85/6.08
% 5.85/6.08 % --aig_mode false
% 5.85/6.08
% 5.85/6.08 % ------ Instantiation Options
% 5.85/6.08
% 5.85/6.08 % --instantiation_flag true
% 5.85/6.08 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.85/6.08 % --inst_solver_per_active 750
% 5.85/6.08 % --inst_solver_calls_frac 0.5
% 5.85/6.08 % --inst_passive_queue_type priority_queues
% 5.85/6.08 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.85/6.08 % --inst_passive_queues_freq [25;2]
% 5.85/6.08 % --inst_dismatching true
% 5.85/6.08 % --inst_eager_unprocessed_to_passive true
% 5.85/6.08 % --inst_prop_sim_given true
% 5.85/6.08 % --inst_prop_sim_new false
% 5.85/6.08 % --inst_orphan_elimination true
% 5.85/6.08 % --inst_learning_loop_flag true
% 5.85/6.08 % --inst_learning_start 3000
% 5.85/6.08 % --inst_learning_factor 2
% 5.85/6.08 % --inst_start_prop_sim_after_learn 3
% 5.85/6.08 % --inst_sel_renew solver
% 5.85/6.08 % --inst_lit_activity_flag true
% 5.85/6.08 % --inst_out_proof true
% 5.85/6.08
% 5.85/6.08 % ------ Resolution Options
% 5.85/6.08
% 5.85/6.08 % --resolution_flag true
% 5.85/6.08 % --res_lit_sel kbo_max
% 5.85/6.08 % --res_to_prop_solver none
% 5.85/6.08 % --res_prop_simpl_new false
% 5.85/6.08 % --res_prop_simpl_given false
% 5.85/6.08 % --res_passive_queue_type priority_queues
% 5.85/6.08 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.85/6.08 % --res_passive_queues_freq [15;5]
% 5.85/6.08 % --res_forward_subs full
% 5.85/6.08 % --res_backward_subs full
% 5.85/6.08 % --res_forward_subs_resolution true
% 5.85/6.08 % --res_backward_subs_resolution true
% 5.85/6.08 % --res_orphan_elimination false
% 5.85/6.08 % --res_time_limit 1000.
% 5.85/6.08 % --res_out_proof true
% 5.85/6.08 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d3b988.s
% 5.85/6.08 % --modulo true
% 5.85/6.08
% 5.85/6.08 % ------ Combination Options
% 5.85/6.08
% 5.85/6.08 % --comb_res_mult 1000
% 5.85/6.08 % --comb_inst_mult 300
% 5.85/6.08 % ------
% 5.85/6.08
% 5.85/6.08 % ------ Parsing...% successful
% 5.85/6.08
% 5.85/6.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe:2:0s pe_e snvd_s sp: 0 0s snvd_e %
% 5.85/6.08
% 5.85/6.08 % ------ Proving...
% 5.85/6.08 % ------ Problem Properties
% 5.85/6.08
% 5.85/6.08 %
% 5.85/6.08 % EPR false
% 5.85/6.08 % Horn false
% 5.85/6.08 % Has equality true
% 5.85/6.08
% 5.85/6.08 % % ------ Input Options Time Limit: Unbounded
% 5.85/6.08
% 5.85/6.08
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
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% 5.85/6.08 Compiling...
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% 5.85/6.08 Compiling...
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% 5.85/6.08 Compiling...
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% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
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% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 Compiling...
% 5.85/6.08 Loading plugin: done.
% 5.85/6.08 % % ------ Current options:
% 5.85/6.08
% 5.85/6.08 % ------ Input Options
% 5.85/6.08
% 5.85/6.08 % --out_options all
% 5.85/6.08 % --tptp_safe_out true
% 5.85/6.08 % --problem_path ""
% 5.85/6.08 % --include_path ""
% 5.85/6.08 % --clausifier .//eprover
% 5.85/6.08 % --clausifier_options --tstp-format
% 5.85/6.08 % --stdin false
% 5.85/6.08 % --dbg_backtrace false
% 5.85/6.08 % --dbg_dump_prop_clauses false
% 5.85/6.08 % --dbg_dump_prop_clauses_file -
% 5.85/6.08 % --dbg_out_stat false
% 5.85/6.08
% 5.85/6.08 % ------ General Options
% 5.85/6.08
% 5.85/6.08 % --fof false
% 5.85/6.08 % --time_out_real 150.
% 5.85/6.08 % --time_out_prep_mult 0.2
% 5.85/6.08 % --time_out_virtual -1.
% 5.85/6.08 % --schedule none
% 5.85/6.08 % --ground_splitting input
% 5.85/6.08 % --splitting_nvd 16
% 5.85/6.08 % --non_eq_to_eq false
% 5.85/6.08 % --prep_gs_sim true
% 5.85/6.08 % --prep_unflatten false
% 5.85/6.08 % --prep_res_sim true
% 5.85/6.08 % --prep_upred true
% 5.85/6.08 % --res_sim_input true
% 5.85/6.08 % --clause_weak_htbl true
% 5.85/6.08 % --gc_record_bc_elim false
% 5.85/6.08 % --symbol_type_check false
% 5.85/6.08 % --clausify_out false
% 5.85/6.08 % --large_theory_mode false
% 5.85/6.08 % --prep_sem_filter none
% 5.85/6.08 % --prep_sem_filter_out false
% 5.85/6.08 % --preprocessed_out false
% 5.85/6.08 % --sub_typing false
% 5.85/6.08 % --brand_transform false
% 5.85/6.08 % --pure_diseq_elim true
% 5.85/6.08 % --min_unsat_core false
% 5.85/6.08 % --pred_elim true
% 5.85/6.08 % --add_important_lit false
% 5.85/6.08 % --soft_assumptions false
% 5.85/6.08 % --reset_solvers false
% 5.85/6.08 % --bc_imp_inh []
% 5.85/6.08 % --conj_cone_tolerance 1.5
% 5.85/6.08 % --prolific_symb_bound 500
% 5.85/6.08 % --lt_threshold 2000
% 5.85/6.08
% 5.85/6.08 % ------ SAT Options
% 5.85/6.08
% 5.85/6.08 % --sat_mode false
% 5.85/6.08 % --sat_fm_restart_options ""
% 5.85/6.08 % --sat_gr_def false
% 5.85/6.08 % --sat_epr_types true
% 5.85/6.08 % --sat_non_cyclic_types false
% 5.85/6.08 % --sat_finite_models false
% 5.85/6.08 % --sat_fm_lemmas false
% 5.85/6.08 % --sat_fm_prep false
% 5.85/6.08 % --sat_fm_uc_incr true
% 5.85/6.08 % --sat_out_model small
% 5.85/6.08 % --sat_out_clauses false
% 5.85/6.08
% 5.85/6.08 % ------ QBF Options
% 5.85/6.08
% 5.85/6.08 % --qbf_mode false
% 5.85/6.08 % --qbf_elim_univ true
% 5.85/6.08 % --qbf_sk_in true
% 5.85/6.08 % --qbf_pred_elim true
% 5.85/6.08 % --qbf_split 32
% 5.85/6.08
% 5.85/6.08 % ------ BMC1 Options
% 5.85/6.08
% 5.85/6.08 % --bmc1_incremental false
% 5.85/6.08 % --bmc1_axioms reachable_all
% 5.85/6.08 % --bmc1_min_bound 0
% 5.85/6.08 % --bmc1_max_bound -1
% 5.85/6.08 % --bmc1_max_bound_default -1
% 5.85/6.08 % --bmc1_symbol_reachability true
% 5.85/6.08 % --bmc1_property_lemmas false
% 5.85/6.08 % --bmc1_k_induction false
% 5.85/6.08 % --bmc1_non_equiv_states false
% 5.85/6.08 % --bmc1_deadlock false
% 5.85/6.08 % --bmc1_ucm false
% 5.85/6.08 % --bmc1_add_unsat_core none
% 5.85/6.08 % --bmc1_unsat_core_children false
% 5.85/6.08 % --bmc1_unsat_core_extrapolate_axioms false
% 5.85/6.08 % --bmc1_out_stat full
% 5.85/6.08 % --bmc1_ground_init false
% 5.85/6.08 % --bmc1_pre_inst_next_state false
% 5.85/6.08 % --bmc1_pre_inst_state false
% 5.85/6.08 % --bmc1_pre_inst_reach_state false
% 5.85/6.08 % --bmc1_out_unsat_core false
% 5.85/6.08 % --bmc1_aig_witness_out false
% 5.85/6.08 % --bmc1_verbose false
% 5.85/6.08 % --bmc1_dump_clauses_tptp false
% 5.85/6.08 % --bmc1_dump_unsat_core_tptp false
% 5.85/6.08 % --bmc1_dump_file -
% 5.85/6.08 % --bmc1_ucm_expand_uc_limit 128
% 5.85/6.08 % --bmc1_ucm_n_expand_iterations 6
% 5.85/6.08 % --bmc1_ucm_extend_mode 1
% 5.85/6.08 % --bmc1_ucm_init_mode 2
% 5.85/6.08 % --bmc1_ucm_cone_mode none
% 5.85/6.08 % --bmc1_ucm_reduced_relation_type 0
% 5.85/6.08 % --bmc1_ucm_relax_model 4
% 5.85/6.08 % --bmc1_ucm_full_tr_after_sat true
% 5.85/6.08 % --bmc1_ucm_expand_neg_assumptions false
% 5.85/6.08 % --bmc1_ucm_layered_model none
% 5.85/6.08 % --bmc1_ucm_max_lemma_size 10
% 5.85/6.08
% 5.85/6.08 % ------ AIG Options
% 5.85/6.08
% 5.85/6.08 % --aig_mode false
% 5.85/6.08
% 5.85/6.08 % ------ Instantiation Options
% 5.85/6.08
% 5.85/6.08 % --instantiation_flag true
% 5.85/6.08 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.85/6.08 % --inst_solver_per_active 750
% 5.85/6.08 % --inst_solver_calls_frac 0.5
% 5.85/6.08 % --inst_passive_queue_type priority_queues
% 5.85/6.08 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.85/6.08 % --inst_passive_queues_freq [25;2]
% 5.85/6.08 % --inst_dismatching true
% 5.85/6.08 % --inst_eager_unprocessed_to_passive true
% 5.85/6.08 % --inst_prop_sim_given true
% 5.85/6.08 % --inst_prop_sim_new false
% 5.85/6.08 % --inst_orphan_elimination true
% 5.85/6.08 % --inst_learning_loop_flag true
% 5.85/6.08 % --inst_learning_start 3000
% 5.85/6.08 % --inst_learning_factor 2
% 5.85/6.08 % --inst_start_prop_sim_after_learn 3
% 5.85/6.08 % --inst_sel_renew solver
% 5.85/6.08 % --inst_lit_activity_flag true
% 5.85/6.08 % --inst_out_proof true
% 5.85/6.08
% 5.85/6.08 % ------ Resolution Options
% 5.85/6.08
% 5.85/6.08 % --resolution_flag true
% 5.85/6.08 % --res_lit_sel kbo_max
% 5.85/6.08 % --res_to_prop_solver none
% 5.85/6.08 % --res_prop_simpl_new false
% 5.85/6.08 % --res_prop_simpl_given false
% 5.85/6.08 % --res_passive_queue_type priority_queues
% 5.85/6.08 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.85/6.08 % --res_passive_queues_freq [15;5]
% 5.85/6.08 % --res_forward_subs full
% 5.85/6.08 % --res_backward_subs full
% 5.85/6.08 % --res_forward_subs_resolution true
% 5.85/6.08 % --res_backward_subs_resolution true
% 5.85/6.08 % --res_orphan_elimination false
% 5.85/6.08 % --res_time_limit 1000.
% 5.85/6.08 % --res_out_proof true
% 5.85/6.08 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d3b988.s
% 5.85/6.08 % --modulo true
% 5.85/6.08
% 5.85/6.08 % ------ Combination Options
% 5.85/6.08
% 5.85/6.08 % --comb_res_mult 1000
% 5.85/6.08 % --comb_inst_mult 300
% 5.85/6.08 % ------
% 5.85/6.08
% 5.85/6.08
% 5.85/6.08
% 5.85/6.08 % ------ Proving...
% 5.85/6.08 % warning: shown sat in sat incomplete mode
% 5.85/6.08 %
% 5.85/6.08
% 5.85/6.08
% 5.85/6.08
% 5.85/6.08
% 5.85/6.08 cnf(c_4643,plain,
% 5.85/6.08 ( c_SEQ_OBseq(X0,X1)
% 5.85/6.08 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(X1,sk1_esk46_4(X1,X0,X2,X3)),c_Groups_Ouminus__class_Ouminus(X0,hAPP(X1,X3)))),X2)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 5.85/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5611_3) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19694,plain,
% 5.85/6.08 ( c_SEQ_OBseq(X0,X1)
% 5.85/6.08 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(X1,sk1_esk46_4(X1,X0,X2,X3)),c_Groups_Ouminus__class_Ouminus(X0,hAPP(X1,X3)))),X2)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 5.85/6.08 inference(copy,[status(esa)],[c_4643]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19695,plain,
% 5.85/6.08 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(X1,sk1_esk46_4(X1,X0,X2,X3)),c_Groups_Ouminus__class_Ouminus(X0,hAPP(X1,X3)))),X2)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.85/6.08 | c_SEQ_OBseq(X0,X1) ),
% 5.85/6.08 inference(rewriting,[status(thm)],[c_19694]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_4639,plain,
% 5.85/6.08 ( c_SEQ_OBseq(X0,X1)
% 5.85/6.08 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(X1,sk1_esk49_4(X1,X0,X2,X3)),c_Groups_Ouminus__class_Ouminus(X0,X3))),X2)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 5.85/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5612_3) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19686,plain,
% 5.85/6.08 ( c_SEQ_OBseq(X0,X1)
% 5.85/6.08 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(X1,sk1_esk49_4(X1,X0,X2,X3)),c_Groups_Ouminus__class_Ouminus(X0,X3))),X2)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 5.85/6.08 inference(copy,[status(esa)],[c_4639]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19687,plain,
% 5.85/6.08 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(X1,sk1_esk49_4(X1,X0,X2,X3)),c_Groups_Ouminus__class_Ouminus(X0,X3))),X2)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.85/6.08 | c_SEQ_OBseq(X0,X1) ),
% 5.85/6.08 inference(rewriting,[status(thm)],[c_19686]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_4636,plain,
% 5.85/6.08 ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 5.85/6.08 | ~ class_Orderings_Oord(X1)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,sk1_esk29_4(X3,X2,X0,X1)),hAPP(X3,sk1_esk29_4(X3,X2,X0,X1))) ),
% 5.85/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5613_2) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19680,plain,
% 5.85/6.08 ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 5.85/6.08 | ~ class_Orderings_Oord(X1)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,sk1_esk29_4(X3,X2,X0,X1)),hAPP(X3,sk1_esk29_4(X3,X2,X0,X1))) ),
% 5.85/6.08 inference(copy,[status(esa)],[c_4636]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19681,plain,
% 5.85/6.08 ( ~ class_Orderings_Oord(X0)
% 5.85/6.08 | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X2,sk1_esk29_4(X3,X2,X1,X0)),hAPP(X3,sk1_esk29_4(X3,X2,X1,X0))) ),
% 5.85/6.08 inference(rewriting,[status(thm)],[c_19680]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_4633,plain,
% 5.85/6.08 ( c_SEQ_OBseq(X0,X1)
% 5.85/6.08 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk52_4(X2,X1,X3,X0))),X2) ),
% 5.85/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5614_2) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19674,plain,
% 5.85/6.08 ( c_SEQ_OBseq(X0,X1)
% 5.85/6.08 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk52_4(X2,X1,X3,X0))),X2) ),
% 5.85/6.08 inference(copy,[status(esa)],[c_4633]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19675,plain,
% 5.85/6.08 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk52_4(X2,X1,X3,X0))),X2)
% 5.85/6.08 | c_SEQ_OBseq(X0,X1) ),
% 5.85/6.08 inference(rewriting,[status(thm)],[c_19674]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_4628,plain,
% 5.85/6.08 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),sk1_esk68_2(X1,X0)),X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.85/6.08 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.08 | X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 5.85/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5616_2) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19664,plain,
% 5.85/6.08 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),sk1_esk68_2(X1,X0)),X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.85/6.08 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.08 | X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 5.85/6.08 inference(copy,[status(esa)],[c_4628]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19665,plain,
% 5.85/6.08 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),sk1_esk68_2(X1,X0)),X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.85/6.08 | X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 5.85/6.08 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.85/6.08 inference(rewriting,[status(thm)],[c_19664]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_4625,plain,
% 5.85/6.08 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.08 | ~ hBOOL(hAPP(hAPP(X0,sk1_esk72_3(X1,X0,X2)),sk1_esk73_3(X1,X0,X2))) ),
% 5.85/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5617_2) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19658,plain,
% 5.85/6.08 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.08 | ~ hBOOL(hAPP(hAPP(X0,sk1_esk72_3(X1,X0,X2)),sk1_esk73_3(X1,X0,X2))) ),
% 5.85/6.08 inference(copy,[status(esa)],[c_4625]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19659,plain,
% 5.85/6.08 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.08 | hBOOL(hAPP(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X0)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X0)))
% 5.85/6.08 | ~ hBOOL(hAPP(hAPP(X1,sk1_esk72_3(X2,X1,X0)),sk1_esk73_3(X2,X1,X0))) ),
% 5.85/6.08 inference(rewriting,[status(thm)],[c_19658]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_4622,plain,
% 5.85/6.08 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.08 | ~ hBOOL(hAPP(hAPP(X0,sk1_esk70_3(X1,X0,X2)),sk1_esk71_3(X1,X0,X2))) ),
% 5.85/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5618_2) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19652,plain,
% 5.85/6.08 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.08 | ~ hBOOL(hAPP(hAPP(X0,sk1_esk70_3(X1,X0,X2)),sk1_esk71_3(X1,X0,X2))) ),
% 5.85/6.08 inference(copy,[status(esa)],[c_4622]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19653,plain,
% 5.85/6.08 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.08 | hBOOL(hAPP(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X0)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X0)))
% 5.85/6.08 | ~ hBOOL(hAPP(hAPP(X1,sk1_esk70_3(X2,X1,X0)),sk1_esk71_3(X2,X1,X0))) ),
% 5.85/6.08 inference(rewriting,[status(thm)],[c_19652]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_4616,plain,
% 5.85/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.08 | X4 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X2)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X2)
% 5.85/6.08 | ~ hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X4,X3))) ),
% 5.85/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5622_5) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19640,plain,
% 5.85/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.08 | X4 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X2)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X2)
% 5.85/6.08 | ~ hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X4,X3))) ),
% 5.85/6.08 inference(copy,[status(esa)],[c_4616]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19641,plain,
% 5.85/6.08 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.85/6.08 | ~ hBOOL(hAPP(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X3,X1)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X1)))
% 5.85/6.08 | hBOOL(hAPP(hAPP(X2,X4),X0))
% 5.85/6.08 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X4),X0) ),
% 5.85/6.08 inference(rewriting,[status(thm)],[c_19640]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_4610,plain,
% 5.85/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.08 | X4 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X2)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.08 | ~ hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X4,X3))) ),
% 5.85/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5623_5) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19628,plain,
% 5.85/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.08 | X4 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X2)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.08 | ~ hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X4,X3))) ),
% 5.85/6.08 inference(copy,[status(esa)],[c_4610]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19629,plain,
% 5.85/6.08 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.85/6.08 | ~ hBOOL(hAPP(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X3,X1)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X1)))
% 5.85/6.08 | hBOOL(hAPP(hAPP(X2,X4),X0))
% 5.85/6.08 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X4),X0) ),
% 5.85/6.08 inference(rewriting,[status(thm)],[c_19628]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_4607,plain,
% 5.85/6.08 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5))
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X3)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X0)
% 5.85/6.08 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X4) ),
% 5.85/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5626_0) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19622,plain,
% 5.85/6.08 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5))
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X3)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.08 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X0)
% 5.85/6.08 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X4) ),
% 5.85/6.08 inference(copy,[status(esa)],[c_4607]) ).
% 5.85/6.08
% 5.85/6.08 cnf(c_19623,plain,
% 5.85/6.08 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X4)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X5),X3) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19622]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4601,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X5))
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X0),X4) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X5) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5626_6) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19610,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X5))
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X0),X4) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X5) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4601]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19611,plain,
% 5.85/6.09 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5),X4),X3) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19610]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4600,plain,
% 5.85/6.09 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X0)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,X1) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5627_0) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19608,plain,
% 5.85/6.09 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X0)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,X1) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4600]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19609,plain,
% 5.85/6.09 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X4)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X2)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X4),X5) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X0) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19608]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4594,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0),X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X5) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0),X4) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5627_6) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19596,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0),X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X5) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0),X4) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4594]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19597,plain,
% 5.85/6.09 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X4)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X4)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X2),X5) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X0) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19596]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4585,plain,
% 5.85/6.09 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X4))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X0) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5631_1) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19578,plain,
% 5.85/6.09 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X4))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X0) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4585]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19579,plain,
% 5.85/6.09 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X0),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X4))
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X1) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19578]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4582,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X0),X4),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X2)) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5631_4) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19572,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X0),X4),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X2)) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4582]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19573,plain,
% 5.85/6.09 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X0),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X4))
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19572]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4580,plain,
% 5.85/6.09 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X4))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X4)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5632_1) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19568,plain,
% 5.85/6.09 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X4))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X4)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4580]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19569,plain,
% 5.85/6.09 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X4))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X4)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19568]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4565,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk17_2(X1,X0))))
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk16_3(X1,X0,X3))),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5636_3) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19538,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk17_2(X1,X0))))
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk16_3(X1,X0,X3))),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4565]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19539,plain,
% 5.85/6.09 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk16_3(X1,X0,X2))),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.85/6.09 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk17_2(X1,X0)))) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19538]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4561,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk13_2(X1,X0))))
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk12_3(X1,X0,X3))),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5637_3) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19530,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk13_2(X1,X0))))
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk12_3(X1,X0,X3))),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4561]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19531,plain,
% 5.85/6.09 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk12_3(X1,X0,X2))),X2)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk13_2(X1,X0))))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19530]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4558,plain,
% 5.85/6.09 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)
% 5.85/6.09 | ~ class_Rings_Oring(X0)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X4)),X2),X3) != X5 ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5638_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19524,plain,
% 5.85/6.09 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)
% 5.85/6.09 | ~ class_Rings_Oring(X0)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X4)),X2),X3) != X5 ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4558]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19525,plain,
% 5.85/6.09 ( ~ class_Rings_Oring(X0)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4) != X5
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19524]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4555,plain,
% 5.85/6.09 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)
% 5.85/6.09 | ~ class_Rings_Oring(X0)
% 5.85/6.09 | X3 != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5639_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19518,plain,
% 5.85/6.09 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)
% 5.85/6.09 | ~ class_Rings_Oring(X0)
% 5.85/6.09 | X3 != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4555]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19519,plain,
% 5.85/6.09 ( ~ class_Rings_Oring(X0)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)
% 5.85/6.09 | X3 != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19518]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4552,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(X1,X2),c_Groups_Ouminus__class_Ouminus(X0,hAPP(X1,sk1_esk45_2(X1,X0))))),sk1_esk44_2(X1,X0))
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5642_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19512,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(X1,X2),c_Groups_Ouminus__class_Ouminus(X0,hAPP(X1,sk1_esk45_2(X1,X0))))),sk1_esk44_2(X1,X0))
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4552]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19513,plain,
% 5.85/6.09 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(X1,X2),c_Groups_Ouminus__class_Ouminus(X0,hAPP(X1,sk1_esk45_2(X1,X0))))),sk1_esk44_2(X1,X0))
% 5.85/6.09 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19512]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4544,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)),X3))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5645_3) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19496,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)),X3))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4544]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19497,plain,
% 5.85/6.09 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.09 | c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X1)),X0))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19496]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4540,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5646_3) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19488,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4540]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19489,plain,
% 5.85/6.09 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.09 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X1)),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19488]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4535,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk19_2(X1,X0))
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk18_3(X1,X0,X3))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3))) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5648_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19478,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk19_2(X1,X0))
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk18_3(X1,X0,X3))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3))) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4535]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19479,plain,
% 5.85/6.09 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk19_2(X1,X0))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk18_3(X1,X0,X3))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3))) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19478]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4532,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk15_2(X1,X0))
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk14_3(X1,X0,X3))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3))) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5649_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19472,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk15_2(X1,X0))
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk14_3(X1,X0,X3))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3))) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4532]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19473,plain,
% 5.85/6.09 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk14_3(X1,X0,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2)))
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3)),sk1_esk15_2(X1,X0)) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19472]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4529,plain,
% 5.85/6.09 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4) = X5
% 5.85/6.09 | ~ class_Rings_Oring(X0)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5650_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19466,plain,
% 5.85/6.09 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4) = X5
% 5.85/6.09 | ~ class_Rings_Oring(X0)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4529]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19467,plain,
% 5.85/6.09 ( ~ class_Rings_Oring(X0)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4) = X5
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19466]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4526,plain,
% 5.85/6.09 ( X0 = c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4),X5)
% 5.85/6.09 | ~ class_Rings_Oring(X1)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4),X0) != c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X5) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5651_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19460,plain,
% 5.85/6.09 ( X0 = c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4),X5)
% 5.85/6.09 | ~ class_Rings_Oring(X1)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4),X0) != c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X5) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4526]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19461,plain,
% 5.85/6.09 ( ~ class_Rings_Oring(X0)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)
% 5.85/6.09 | X3 = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19460]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4517,plain,
% 5.85/6.09 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.09 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)),X2)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X4,X5) != c_Groups_Oone__class_Oone(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X5) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5655_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19442,plain,
% 5.85/6.09 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.09 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)),X2)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X4,X5) != c_Groups_Oone__class_Oone(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X5) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4517]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19443,plain,
% 5.85/6.09 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.09 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)),X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oone__class_Oone(X0) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19442]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4515,plain,
% 5.85/6.09 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.09 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5)),X2)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X3,X4) != c_Groups_Oone__class_Oone(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X5,X2) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5655_4) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19438,plain,
% 5.85/6.09 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.09 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5)),X2)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X3,X4) != c_Groups_Oone__class_Oone(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X5,X2) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4515]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19439,plain,
% 5.85/6.09 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.09 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)),X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Oone__class_Oone(X0) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19438]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4513,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X5)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X2,X5)
% 5.85/6.09 | ~ class_Rings_Olinordered__semiring__1__strict(X0) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5655_6) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19434,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X5)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X2,X5)
% 5.85/6.09 | ~ class_Rings_Olinordered__semiring__1__strict(X0) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4513]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19435,plain,
% 5.85/6.09 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.09 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)),X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(X0,X3,X5)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Oone__class_Oone(X0) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19434]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4510,plain,
% 5.85/6.09 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)),X2)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X4,X5) != c_Groups_Oone__class_Oone(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X5) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5656_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19428,plain,
% 5.85/6.09 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)),X2)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X4,X5) != c_Groups_Oone__class_Oone(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X5) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4510]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19429,plain,
% 5.85/6.09 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)),X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oone__class_Oone(X0) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19428]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4508,plain,
% 5.85/6.09 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5)),X2)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X3,X4) != c_Groups_Oone__class_Oone(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X5,X2) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5656_4) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19424,plain,
% 5.85/6.09 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5)),X2)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X3,X4) != c_Groups_Oone__class_Oone(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X5,X2) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4508]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19425,plain,
% 5.85/6.09 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)),X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Oone__class_Oone(X0) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19424]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4506,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X5)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X5)
% 5.85/6.09 | ~ class_Rings_Olinordered__semiring__1(X0) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5656_6) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19420,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X5)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X5)
% 5.85/6.09 | ~ class_Rings_Olinordered__semiring__1(X0) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4506]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19421,plain,
% 5.85/6.09 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)),X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X5)
% 5.85/6.09 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Oone__class_Oone(X0) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19420]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4503,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk19_2(X0,X1))
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X0,sk1_esk18_3(X0,X1,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2))) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5657_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19414,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk19_2(X0,X1))
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X0,sk1_esk18_3(X0,X1,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2))) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4503]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19415,plain,
% 5.85/6.09 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk19_2(X1,X0))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk18_3(X1,X0,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2))) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19414]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4500,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk15_2(X0,X1))
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X0,sk1_esk14_3(X0,X1,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2))) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5658_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19408,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk15_2(X0,X1))
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X0,sk1_esk14_3(X0,X1,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2))) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4500]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19409,plain,
% 5.85/6.09 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk14_3(X1,X0,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2)))
% 5.85/6.09 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk15_2(X1,X0)) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19408]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4496,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5659_3) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19400,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4496]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19401,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X3) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19400]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4492,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X3))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5660_3) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19392,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X3))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4492]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19393,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X3))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X0) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19392]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4486,plain,
% 5.85/6.09 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.85/6.09 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(sk1_esk53_3(X2,X1,X0))))
% 5.85/6.09 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5664_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19380,plain,
% 5.85/6.09 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.85/6.09 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(sk1_esk53_3(X2,X1,X0))))
% 5.85/6.09 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4486]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19381,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Nat_OSuc(sk1_esk53_3(X1,X0,X2))))
% 5.85/6.09 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.85/6.09 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1))) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19380]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4482,plain,
% 5.85/6.09 ( c_SEQ_OBseq(X0,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk50_3(X1,X2,X0))),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5665_3) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19372,plain,
% 5.85/6.09 ( c_SEQ_OBseq(X0,X1)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk50_3(X1,X2,X0))),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4482]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19373,plain,
% 5.85/6.09 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk50_3(X1,X2,X0))),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.85/6.09 | c_SEQ_OBseq(X0,X1) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19372]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4478,plain,
% 5.85/6.09 ( c_SEQ_OBseq(X0,X1)
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk41_3(X1,X0,X2))),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5666_3) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19364,plain,
% 5.85/6.09 ( c_SEQ_OBseq(X0,X1)
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk41_3(X1,X0,X2))),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4478]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19365,plain,
% 5.85/6.09 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk41_3(X1,X0,X2))),X2)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.85/6.09 | c_SEQ_OBseq(X0,X1) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19364]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4469,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.09 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),sk1_esk67_3(X2,X1,X0)),X1),X2) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5670_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19346,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.09 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),sk1_esk67_3(X2,X1,X0)),X1),X2) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4469]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19347,plain,
% 5.85/6.09 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),sk1_esk67_3(X1,X2,X0)),X2),X1)
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19346]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4464,plain,
% 5.85/6.09 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.09 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Nat_OSuc(sk1_esk53_3(X0,X1,X2))))
% 5.85/6.09 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0))) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5672_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19336,plain,
% 5.85/6.09 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.09 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Nat_OSuc(sk1_esk53_3(X0,X1,X2))))
% 5.85/6.09 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0))) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4464]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19337,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Nat_OSuc(sk1_esk53_3(X1,X0,X2))))
% 5.85/6.09 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)))
% 5.85/6.09 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19336]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4462,plain,
% 5.85/6.09 ( ~ class_Fields_Ofield(X0)
% 5.85/6.09 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.09 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Rings_Oinverse__class_Odivide(X0,X4,X3))
% 5.85/6.09 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5673_1) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19332,plain,
% 5.85/6.09 ( ~ class_Fields_Ofield(X0)
% 5.85/6.09 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.09 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Rings_Oinverse__class_Odivide(X0,X4,X3))
% 5.85/6.09 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4462]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19333,plain,
% 5.85/6.09 ( ~ class_Fields_Ofield(X0)
% 5.85/6.09 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.09 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.09 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19332]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4457,plain,
% 5.85/6.09 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk73_3(X1,X0,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5674_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19322,plain,
% 5.85/6.09 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk73_3(X1,X0,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4457]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19323,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk73_3(X0,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.09 | hBOOL(hAPP(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X2))) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19322]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4454,plain,
% 5.85/6.09 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk71_3(X1,X0,X2))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5675_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19316,plain,
% 5.85/6.09 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.85/6.09 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk71_3(X1,X0,X2))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4454]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19317,plain,
% 5.85/6.09 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk71_3(X0,X1,X2))
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.09 | hBOOL(hAPP(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X2))) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19316]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4451,plain,
% 5.85/6.09 ( c_SEQ_OBseq(X0,X1)
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk39_3(X1,X0,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2))) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5676_2) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19310,plain,
% 5.85/6.09 ( c_SEQ_OBseq(X0,X1)
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk39_3(X1,X0,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2))) ),
% 5.85/6.09 inference(copy,[status(esa)],[c_4451]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_19311,plain,
% 5.85/6.09 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk39_3(X1,X0,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2)))
% 5.85/6.09 | c_SEQ_OBseq(X0,X1) ),
% 5.85/6.09 inference(rewriting,[status(thm)],[c_19310]) ).
% 5.85/6.09
% 5.85/6.09 cnf(c_4448,plain,
% 5.85/6.09 ( c_SEQ_OBseq(X0,X1)
% 5.85/6.09 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.09 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk37_3(X1,X0,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2))) ),
% 5.85/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5677_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19304,plain,
% 5.85/6.10 ( c_SEQ_OBseq(X0,X1)
% 5.85/6.10 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk37_3(X1,X0,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2))) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4448]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19305,plain,
% 5.85/6.10 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk37_3(X1,X0,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2)))
% 5.85/6.10 | c_SEQ_OBseq(X0,X1) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19304]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4438,plain,
% 5.85/6.10 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.85/6.10 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.10 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.10 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5681_1) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19284,plain,
% 5.85/6.10 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.85/6.10 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.10 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.10 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4438]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19285,plain,
% 5.85/6.10 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.85/6.10 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.10 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19284]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4436,plain,
% 5.85/6.10 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.10 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.10 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1))) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5681_3) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19280,plain,
% 5.85/6.10 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.10 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.10 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1))) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4436]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19281,plain,
% 5.85/6.10 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.85/6.10 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.10 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19280]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4431,plain,
% 5.85/6.10 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.85/6.10 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1)) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5683_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19270,plain,
% 5.85/6.10 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.85/6.10 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1)) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4431]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19271,plain,
% 5.85/6.10 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)),c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.10 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19270]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4428,plain,
% 5.85/6.10 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.85/6.10 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0)),c_Groups_Ozero__class_Ozero(X1)) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5684_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19264,plain,
% 5.85/6.10 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.85/6.10 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0)),c_Groups_Ozero__class_Ozero(X1)) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4428]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19265,plain,
% 5.85/6.10 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)),c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.10 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19264]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4409,plain,
% 5.85/6.10 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.10 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.85/6.10 | X1 = X3
% 5.85/6.10 | X2 = X4 ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5691_0) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19226,plain,
% 5.85/6.10 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.10 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.85/6.10 | X1 = X3
% 5.85/6.10 | X2 = X4 ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4409]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19227,plain,
% 5.85/6.10 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.10 | X1 = X3
% 5.85/6.10 | X2 = X4 ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19226]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4406,plain,
% 5.85/6.10 ( X0 = X1
% 5.85/6.10 | X2 = X3
% 5.85/6.10 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X3),X1)) != c_Groups_Oplus__class_Oplus(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X3),X0)) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5691_3) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19220,plain,
% 5.85/6.10 ( X0 = X1
% 5.85/6.10 | X2 = X3
% 5.85/6.10 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X3),X1)) != c_Groups_Oplus__class_Oplus(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X3),X0)) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4406]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19221,plain,
% 5.85/6.10 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.10 | X2 = X4
% 5.85/6.10 | X1 = X3 ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19220]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4403,plain,
% 5.85/6.10 ( epred2_3(X0,X1,X2)
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk81_3(X2,X1,X0)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk83_3(X2,X1,X0))) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5692_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19214,plain,
% 5.85/6.10 ( epred2_3(X0,X1,X2)
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk81_3(X2,X1,X0)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk83_3(X2,X1,X0))) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4403]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19215,plain,
% 5.85/6.10 ( ~ hBOOL(hAPP(X0,sk1_esk81_3(X1,X2,X0)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk83_3(X1,X2,X0)))
% 5.85/6.10 | epred2_3(X0,X2,X1) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19214]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4400,plain,
% 5.85/6.10 ( epred1_3(X0,X1,X2)
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk76_3(X2,X1,X0)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk78_3(X2,X1,X0))) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5693_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19208,plain,
% 5.85/6.10 ( epred1_3(X0,X1,X2)
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk76_3(X2,X1,X0)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk78_3(X2,X1,X0))) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4400]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19209,plain,
% 5.85/6.10 ( ~ hBOOL(hAPP(X0,sk1_esk76_3(X1,X2,X0)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk78_3(X1,X2,X0)))
% 5.85/6.10 | epred1_3(X0,X2,X1) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19208]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4394,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5697_3) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19196,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4394]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19197,plain,
% 5.85/6.10 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19196]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4391,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),sk1_esk53_3(X1,X2,X0)),X2)
% 5.85/6.10 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5698_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19190,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),sk1_esk53_3(X1,X2,X0)),X2)
% 5.85/6.10 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4391]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19191,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),sk1_esk53_3(X0,X1,X2)),X1)
% 5.85/6.10 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.85/6.10 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0))) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19190]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4388,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(X1,X2),c_Groups_Ouminus__class_Ouminus(X0,sk1_esk48_2(X1,X0)))),sk1_esk47_2(X1,X0))
% 5.85/6.10 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.10 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5699_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19184,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(X1,X2),c_Groups_Ouminus__class_Ouminus(X0,sk1_esk48_2(X1,X0)))),sk1_esk47_2(X1,X0))
% 5.85/6.10 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.10 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4388]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19185,plain,
% 5.85/6.10 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(X1,X2),c_Groups_Ouminus__class_Ouminus(X0,sk1_esk48_2(X1,X0)))),sk1_esk47_2(X1,X0))
% 5.85/6.10 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19184]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4376,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5702_4) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19160,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4376]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19161,plain,
% 5.85/6.10 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19160]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4371,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5703_4) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19150,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4371]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19151,plain,
% 5.85/6.10 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19150]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4366,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5704_4) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19140,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4366]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19141,plain,
% 5.85/6.10 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19140]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4361,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5705_4) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19130,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4361]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19131,plain,
% 5.85/6.10 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19130]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4356,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5706_4) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19120,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4356]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19121,plain,
% 5.85/6.10 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.85/6.10 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19120]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4351,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5707_4) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19110,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4351]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19111,plain,
% 5.85/6.10 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.85/6.10 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19110]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4346,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5708_4) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19100,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4346]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19101,plain,
% 5.85/6.10 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.10 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19100]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4341,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5709_4) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19090,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4341]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19091,plain,
% 5.85/6.10 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.10 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19090]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4330,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk55_3(X2,X1,X0)),sk1_esk56_3(X2,X1,X0)) = X1
% 5.85/6.10 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5713_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19068,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk55_3(X2,X1,X0)),sk1_esk56_3(X2,X1,X0)) = X1
% 5.85/6.10 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4330]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19069,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,X1))
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk55_3(X2,X1,X0)),sk1_esk56_3(X2,X1,X0)) = X1 ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19068]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4323,plain,
% 5.85/6.10 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),sk1_esk53_3(X0,X1,X2)),X1)
% 5.85/6.10 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0))) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5718_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19054,plain,
% 5.85/6.10 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),sk1_esk53_3(X0,X1,X2)),X1)
% 5.85/6.10 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0))) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4323]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19055,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),sk1_esk53_3(X0,X1,X2)),X1)
% 5.85/6.10 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0)))
% 5.85/6.10 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19054]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4308,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,X1))
% 5.85/6.10 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.10 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X2)))
% 5.85/6.10 | X3 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1),X4)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,X2) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5723_4) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19024,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,X1))
% 5.85/6.10 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.10 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X2)))
% 5.85/6.10 | X3 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1),X4)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,X2) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4308]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19025,plain,
% 5.85/6.10 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.85/6.10 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X1)))
% 5.85/6.10 | hBOOL(hAPP(X2,X4))
% 5.85/6.10 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.10 | X3 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X4),X0) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19024]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4303,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,X1))
% 5.85/6.10 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.10 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X2)))
% 5.85/6.10 | X3 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5724_4) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19014,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,X1))
% 5.85/6.10 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.10 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X2)))
% 5.85/6.10 | X3 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4303]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19015,plain,
% 5.85/6.10 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.85/6.10 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X1)))
% 5.85/6.10 | hBOOL(hAPP(X2,X0))
% 5.85/6.10 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.10 | X3 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X4),X0) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19014]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4298,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.85/6.10 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5725_4) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19004,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.85/6.10 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4298]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_19005,plain,
% 5.85/6.10 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_19004]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4293,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5726_4) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18994,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.85/6.10 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4293]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18995,plain,
% 5.85/6.10 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_18994]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4288,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.85/6.10 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5727_4) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18984,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.85/6.10 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4288]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18985,plain,
% 5.85/6.10 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.10 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_18984]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4283,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.85/6.10 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5728_4) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18974,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.85/6.10 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4283]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18975,plain,
% 5.85/6.10 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.85/6.10 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.10 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_18974]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4280,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk57_3(X2,X1,X0)),sk1_esk58_3(X2,X1,X0)) = X1 ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5729_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18968,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk57_3(X2,X1,X0)),sk1_esk58_3(X2,X1,X0)) = X1 ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4280]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18969,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk57_3(X2,X1,X0)),sk1_esk58_3(X2,X1,X0)) = X1
% 5.85/6.10 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_18968]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4277,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk55_3(X2,X1,X0)),sk1_esk56_3(X2,X1,X0)) = X1 ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5730_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18962,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk55_3(X2,X1,X0)),sk1_esk56_3(X2,X1,X0)) = X1 ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4277]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18963,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk55_3(X2,X1,X0)),sk1_esk56_3(X2,X1,X0)) = X1
% 5.85/6.10 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_18962]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4268,plain,
% 5.85/6.10 ( epred2_3(X0,X1,X2)
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X2,X1,X0))
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk82_3(X2,X1,X0)),sk1_esk83_3(X2,X1,X0)) = X2 ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5737_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18944,plain,
% 5.85/6.10 ( epred2_3(X0,X1,X2)
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X2,X1,X0))
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk82_3(X2,X1,X0)),sk1_esk83_3(X2,X1,X0)) = X2 ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4268]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18945,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X0,X1,X2))
% 5.85/6.10 | epred2_3(X2,X1,X0)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk82_3(X0,X1,X2)),sk1_esk83_3(X0,X1,X2)) = X0 ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_18944]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4262,plain,
% 5.85/6.10 ( epred1_3(X0,X1,X2)
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X2,X1,X0))
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk78_3(X2,X1,X0)),sk1_esk79_3(X2,X1,X0)) = X2 ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5739_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18932,plain,
% 5.85/6.10 ( epred1_3(X0,X1,X2)
% 5.85/6.10 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X2,X1,X0))
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk78_3(X2,X1,X0)),sk1_esk79_3(X2,X1,X0)) = X2 ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4262]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18933,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X0,X1,X2))
% 5.85/6.10 | epred1_3(X2,X1,X0)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk78_3(X0,X1,X2)),sk1_esk79_3(X0,X1,X2)) = X0 ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_18932]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4256,plain,
% 5.85/6.10 ( epred2_3(X0,X1,X2)
% 5.85/6.10 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X2,X1,X0),X1)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk82_3(X2,X1,X0)),sk1_esk83_3(X2,X1,X0)) = X2 ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5741_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18920,plain,
% 5.85/6.10 ( epred2_3(X0,X1,X2)
% 5.85/6.10 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X2,X1,X0),X1)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk82_3(X2,X1,X0)),sk1_esk83_3(X2,X1,X0)) = X2 ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4256]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18921,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X0,X1,X2),X1)
% 5.85/6.10 | epred2_3(X2,X1,X0)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk82_3(X0,X1,X2)),sk1_esk83_3(X0,X1,X2)) = X0 ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_18920]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4250,plain,
% 5.85/6.10 ( epred1_3(X0,X1,X2)
% 5.85/6.10 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X2,X1,X0),X1)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk78_3(X2,X1,X0)),sk1_esk79_3(X2,X1,X0)) = X2 ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5743_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18908,plain,
% 5.85/6.10 ( epred1_3(X0,X1,X2)
% 5.85/6.10 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X2,X1,X0),X1)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk78_3(X2,X1,X0)),sk1_esk79_3(X2,X1,X0)) = X2 ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4250]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18909,plain,
% 5.85/6.10 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X0,X1,X2),X1)
% 5.85/6.10 | epred1_3(X2,X1,X0)
% 5.85/6.10 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk78_3(X0,X1,X2)),sk1_esk79_3(X0,X1,X2)) = X0 ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_18908]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4244,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk57_3(X2,X1,X0))) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5745_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18896,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk57_3(X2,X1,X0))) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4244]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18897,plain,
% 5.85/6.10 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.85/6.10 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk57_3(X2,X1,X0))) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_18896]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4242,plain,
% 5.85/6.10 ( ~ class_Divides_Oring__div(X0)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X4),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X3,X5),X2)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X4,X2) != c_Divides_Odiv__class_Omod(X0,X5,X2) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5746_1) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18892,plain,
% 5.85/6.10 ( ~ class_Divides_Oring__div(X0)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X4),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X3,X5),X2)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X4,X2) != c_Divides_Odiv__class_Omod(X0,X5,X2) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4242]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18893,plain,
% 5.85/6.10 ( ~ class_Divides_Oring__div(X0)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X4,X5),X3)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_18892]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4238,plain,
% 5.85/6.10 ( ~ class_Divides_Osemiring__div(X0)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X4),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X3,X5),X2)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X4,X2) != c_Divides_Odiv__class_Omod(X0,X5,X2) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5747_1) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18884,plain,
% 5.85/6.10 ( ~ class_Divides_Osemiring__div(X0)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X4),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X3,X5),X2)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X4,X2) != c_Divides_Odiv__class_Omod(X0,X5,X2) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4238]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18885,plain,
% 5.85/6.10 ( ~ class_Divides_Osemiring__div(X0)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X4,X5),X3)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_18884]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4233,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,X1))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk56_3(X2,X1,X0))) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5748_2) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18874,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,X1))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk56_3(X2,X1,X0))) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4233]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18875,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,sk1_esk56_3(X2,X1,X0)))
% 5.85/6.10 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_18874]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4231,plain,
% 5.85/6.10 ( ~ class_Divides_Osemiring__div(X0)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X5),X2)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X4,X2) != c_Divides_Odiv__class_Omod(X0,X5,X2) ),
% 5.85/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5749_1) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18870,plain,
% 5.85/6.10 ( ~ class_Divides_Osemiring__div(X0)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X5),X2)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X4,X2) != c_Divides_Odiv__class_Omod(X0,X5,X2) ),
% 5.85/6.10 inference(copy,[status(esa)],[c_4231]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_18871,plain,
% 5.85/6.10 ( ~ class_Divides_Osemiring__div(X0)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5),X3)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 5.85/6.10 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3) ),
% 5.85/6.10 inference(rewriting,[status(thm)],[c_18870]) ).
% 5.85/6.10
% 5.85/6.10 cnf(c_4222,plain,
% 5.85/6.10 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.85/6.11 | hBOOL(hAPP(X0,sk1_esk53_3(X1,X2,X0)))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5751_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18852,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.85/6.11 | hBOOL(hAPP(X0,sk1_esk53_3(X1,X2,X0)))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4222]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18853,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.85/6.11 | hBOOL(hAPP(X0,sk1_esk53_3(X2,X1,X0))) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18852]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4218,plain,
% 5.85/6.11 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5753_1) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18844,plain,
% 5.85/6.11 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4218]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18845,plain,
% 5.85/6.11 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18844]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4212,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X4,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5754_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18832,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X4,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4212]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18833,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18832]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4210,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X4,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5754_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18828,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X4,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4210]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18829,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18828]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4204,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5755_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18816,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4204]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18817,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),c_Rings_Oinverse__class_Odivide(X0,X4,X2))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18816]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4201,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),c_Rings_Oinverse__class_Odivide(X0,X2,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5756_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18810,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),c_Rings_Oinverse__class_Odivide(X0,X2,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4201]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18811,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18810]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4198,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5756_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18804,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4198]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18805,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18804]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4192,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5759_1) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18792,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4192]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18793,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.85/6.11 | ~ 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))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18792]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4190,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5759_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18788,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4190]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18789,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.85/6.11 | ~ 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))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18788]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4182,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5761_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18772,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4182]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18773,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18772]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4180,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.85/6.11 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5761_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18768,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.85/6.11 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4180]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18769,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18768]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4178,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5762_1) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18764,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4178]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18765,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18764]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4176,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5762_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18760,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4176]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18761,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18760]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4174,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.85/6.11 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5762_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18756,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.85/6.11 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4174]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18757,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18756]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4168,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.85/6.11 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5763_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18744,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.85/6.11 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4168]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18745,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X3))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18744]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4162,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.11 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5764_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18732,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.11 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4162]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18733,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18732]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4160,plain,
% 5.85/6.11 ( ~ class_Rings_Oordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5765_1) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18728,plain,
% 5.85/6.11 ( ~ class_Rings_Oordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4160]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18729,plain,
% 5.85/6.11 ( ~ class_Rings_Oordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18728]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4158,plain,
% 5.85/6.11 ( ~ class_Rings_Oordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5765_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18724,plain,
% 5.85/6.11 ( ~ class_Rings_Oordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4158]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18725,plain,
% 5.85/6.11 ( ~ class_Rings_Oordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18724]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4156,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.11 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5765_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18720,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.11 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4156]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18721,plain,
% 5.85/6.11 ( ~ class_Rings_Oordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18720]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4154,plain,
% 5.85/6.11 ( ~ class_Rings_Oordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5766_1) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18716,plain,
% 5.85/6.11 ( ~ class_Rings_Oordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4154]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18717,plain,
% 5.85/6.11 ( ~ class_Rings_Oordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18716]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4152,plain,
% 5.85/6.11 ( ~ class_Rings_Oordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5766_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18712,plain,
% 5.85/6.11 ( ~ class_Rings_Oordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4152]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18713,plain,
% 5.85/6.11 ( ~ class_Rings_Oordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18712]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4150,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.11 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5766_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18708,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.11 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4150]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18709,plain,
% 5.85/6.11 ( ~ class_Rings_Oordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18708]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4148,plain,
% 5.85/6.11 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5767_1) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18704,plain,
% 5.85/6.11 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4148]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18705,plain,
% 5.85/6.11 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X4))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18704]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4140,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.85/6.11 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X0) = X1
% 5.85/6.11 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.11 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5768_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18688,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.85/6.11 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X0) = X1
% 5.85/6.11 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.11 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4140]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18689,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.85/6.11 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1) = X0
% 5.85/6.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.11 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18688]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4139,plain,
% 5.85/6.11 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = X2
% 5.85/6.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.11 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5768_6) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18686,plain,
% 5.85/6.11 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = X2
% 5.85/6.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.11 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4139]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18687,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.85/6.11 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1) = X0
% 5.85/6.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.11 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18686]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4133,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.85/6.11 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X0) = X3
% 5.85/6.11 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.11 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5769_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18674,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.85/6.11 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X0) = X3
% 5.85/6.11 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.11 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4133]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18675,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.85/6.11 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1) = X3
% 5.85/6.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.11 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18674]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4132,plain,
% 5.85/6.11 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = X2
% 5.85/6.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.11 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5769_6) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18672,plain,
% 5.85/6.11 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = X2
% 5.85/6.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.11 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4132]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18673,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.85/6.11 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1) = X3
% 5.85/6.11 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.11 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18672]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4129,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.85/6.11 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk57_3(X2,X1,X0))) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5770_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18666,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.85/6.11 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk57_3(X2,X1,X0))) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4129]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18667,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk57_3(X2,X1,X0)))
% 5.85/6.11 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18666]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4126,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.85/6.11 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk56_3(X2,X1,X0))) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5771_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18660,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.85/6.11 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk56_3(X2,X1,X0))) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4126]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18661,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk56_3(X2,X1,X0)))
% 5.85/6.11 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18660]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4115,plain,
% 5.85/6.11 ( X0 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(X0)))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0),X1) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5775_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18638,plain,
% 5.85/6.11 ( X0 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(X0)))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0),X1) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4115]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18639,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Nat_OSuc(X1)))
% 5.85/6.11 | X1 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18638]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4109,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,X1))
% 5.85/6.11 | ~ epred2_3(X0,X2,X3)
% 5.85/6.11 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X4),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5776_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18626,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,X1))
% 5.85/6.11 | ~ epred2_3(X0,X2,X3)
% 5.85/6.11 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X4),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4109]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18627,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.85/6.11 | hBOOL(hAPP(X2,X0))
% 5.85/6.11 | ~ epred2_3(X2,X1,X3)
% 5.85/6.11 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X4),X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18626]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4103,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,X1))
% 5.85/6.11 | ~ epred2_3(X0,X2,X3)
% 5.85/6.11 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X4),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5777_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18614,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,X1))
% 5.85/6.11 | ~ epred2_3(X0,X2,X3)
% 5.85/6.11 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X4),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4103]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18615,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.85/6.11 | hBOOL(hAPP(X2,X0))
% 5.85/6.11 | ~ epred2_3(X2,X1,X3)
% 5.85/6.11 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X4),X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18614]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4097,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,X1))
% 5.85/6.11 | ~ epred1_3(X0,X2,X3)
% 5.85/6.11 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5778_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18602,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,X1))
% 5.85/6.11 | ~ epred1_3(X0,X2,X3)
% 5.85/6.11 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4097]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18603,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.85/6.11 | hBOOL(hAPP(X2,X3))
% 5.85/6.11 | ~ epred1_3(X2,X1,X4)
% 5.85/6.11 | X4 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18602]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4091,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,X1))
% 5.85/6.11 | ~ epred1_3(X0,X2,X3)
% 5.85/6.11 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5779_5) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18590,plain,
% 5.85/6.11 ( hBOOL(hAPP(X0,X1))
% 5.85/6.11 | ~ epred1_3(X0,X2,X3)
% 5.85/6.11 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X4)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4091]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18591,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.85/6.11 | hBOOL(hAPP(X2,X3))
% 5.85/6.11 | ~ epred1_3(X2,X1,X4)
% 5.85/6.11 | X4 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18590]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4087,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3)))
% 5.85/6.11 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5780_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18582,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3)))
% 5.85/6.11 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4087]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18583,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3)))
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18582]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4084,plain,
% 5.85/6.11 ( epred2_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X2,X1,X0))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk83_3(X2,X1,X0))) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5781_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18576,plain,
% 5.85/6.11 ( epred2_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X2,X1,X0))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk83_3(X2,X1,X0))) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4084]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18577,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X0,X1,X2))
% 5.85/6.11 | ~ hBOOL(hAPP(X2,sk1_esk83_3(X0,X1,X2)))
% 5.85/6.11 | epred2_3(X2,X1,X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18576]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4081,plain,
% 5.85/6.11 ( epred2_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk81_3(X2,X1,X0))) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5782_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18570,plain,
% 5.85/6.11 ( epred2_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk81_3(X2,X1,X0))) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4081]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18571,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X0,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ hBOOL(hAPP(X2,sk1_esk81_3(X0,X1,X2)))
% 5.85/6.11 | epred2_3(X2,X1,X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18570]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4078,plain,
% 5.85/6.11 ( epred1_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X2,X1,X0))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk78_3(X2,X1,X0))) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5783_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18564,plain,
% 5.85/6.11 ( epred1_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X2,X1,X0))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk78_3(X2,X1,X0))) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4078]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18565,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X0,X1,X2))
% 5.85/6.11 | ~ hBOOL(hAPP(X2,sk1_esk78_3(X0,X1,X2)))
% 5.85/6.11 | epred1_3(X2,X1,X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18564]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4075,plain,
% 5.85/6.11 ( epred1_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk76_3(X2,X1,X0))) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5784_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18558,plain,
% 5.85/6.11 ( epred1_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk76_3(X2,X1,X0))) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4075]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18559,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X0,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.11 | ~ hBOOL(hAPP(X2,sk1_esk76_3(X0,X1,X2)))
% 5.85/6.11 | epred1_3(X2,X1,X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18558]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4072,plain,
% 5.85/6.11 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1))
% 5.85/6.11 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.85/6.11 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5785_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18552,plain,
% 5.85/6.11 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1))
% 5.85/6.11 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.85/6.11 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4072]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18553,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)),c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.11 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18552]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4071,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)),c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.11 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.11 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5785_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18550,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)),c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.11 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.11 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4071]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18551,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)),c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.11 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18550]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4068,plain,
% 5.85/6.11 ( epred2_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X2,X1,X0),X1)
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk83_3(X2,X1,X0))) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5786_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18544,plain,
% 5.85/6.11 ( epred2_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X2,X1,X0),X1)
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk83_3(X2,X1,X0))) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4068]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18545,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X0,X1,X2),X1)
% 5.85/6.11 | ~ hBOOL(hAPP(X2,sk1_esk83_3(X0,X1,X2)))
% 5.85/6.11 | epred2_3(X2,X1,X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18544]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4065,plain,
% 5.85/6.11 ( epred2_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk83_3(X2,X1,X0))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk81_3(X2,X1,X0))) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5787_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18538,plain,
% 5.85/6.11 ( epred2_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk83_3(X2,X1,X0))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk81_3(X2,X1,X0))) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4065]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18539,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,sk1_esk83_3(X1,X0,X2))
% 5.85/6.11 | ~ hBOOL(hAPP(X2,sk1_esk81_3(X1,X0,X2)))
% 5.85/6.11 | epred2_3(X2,X0,X1) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18538]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4062,plain,
% 5.85/6.11 ( epred1_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X2,X1,X0),X1)
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk78_3(X2,X1,X0))) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5788_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18532,plain,
% 5.85/6.11 ( epred1_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X2,X1,X0),X1)
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk78_3(X2,X1,X0))) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4062]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18533,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X0,X1,X2),X1)
% 5.85/6.11 | ~ hBOOL(hAPP(X2,sk1_esk78_3(X0,X1,X2)))
% 5.85/6.11 | epred1_3(X2,X1,X0) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18532]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4059,plain,
% 5.85/6.11 ( epred1_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk79_3(X2,X1,X0))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk76_3(X2,X1,X0))) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5789_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18526,plain,
% 5.85/6.11 ( epred1_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk79_3(X2,X1,X0))
% 5.85/6.11 | ~ hBOOL(hAPP(X0,sk1_esk76_3(X2,X1,X0))) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4059]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18527,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,sk1_esk79_3(X1,X0,X2))
% 5.85/6.11 | ~ hBOOL(hAPP(X2,sk1_esk76_3(X1,X0,X2)))
% 5.85/6.11 | epred1_3(X2,X0,X1) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18526]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4048,plain,
% 5.85/6.11 ( epred2_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.11 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk82_3(X2,X1,X0)),sk1_esk83_3(X2,X1,X0)) = X2 ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5793_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18504,plain,
% 5.85/6.11 ( epred2_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.11 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk82_3(X2,X1,X0)),sk1_esk83_3(X2,X1,X0)) = X2 ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4048]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18505,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.11 | epred2_3(X1,X0,X2)
% 5.85/6.11 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk82_3(X2,X0,X1)),sk1_esk83_3(X2,X0,X1)) = X2 ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18504]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4042,plain,
% 5.85/6.11 ( epred1_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.11 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk78_3(X2,X1,X0)),sk1_esk79_3(X2,X1,X0)) = X2 ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5795_2) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18492,plain,
% 5.85/6.11 ( epred1_3(X0,X1,X2)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.11 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk78_3(X2,X1,X0)),sk1_esk79_3(X2,X1,X0)) = X2 ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4042]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18493,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.11 | epred1_3(X1,X0,X2)
% 5.85/6.11 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk78_3(X2,X0,X1)),sk1_esk79_3(X2,X0,X1)) = X2 ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18492]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4034,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5797_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18476,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4034]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18477,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18476]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4029,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5798_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18466,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4029]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18467,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18466]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4024,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5799_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18456,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4024]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18457,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18456]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4019,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5800_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18446,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4019]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18447,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18446]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4014,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5801_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18436,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4014]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18437,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18436]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_4009,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5802_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18426,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_4009]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18427,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18426]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3999,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5804_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18406,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3999]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18407,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18406]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3994,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5805_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18396,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3994]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18397,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18396]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3989,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5806_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18386,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3989]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18387,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18386]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3979,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5808_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18366,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3979]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18367,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18366]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3974,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5809_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18356,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3974]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18357,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18356]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3969,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5810_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18346,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3969]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18347,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18346]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3960,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5812_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18328,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3960]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18329,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18328]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3959,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5812_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18326,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3959]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18327,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18326]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3954,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5813_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18316,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3954]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18317,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18316]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3950,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5814_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18308,plain,
% 5.85/6.11 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3950]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18309,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18308]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3949,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5814_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18306,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3949]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18307,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18306]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3939,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5816_4) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18286,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3939]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18287,plain,
% 5.85/6.11 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18286]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3926,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3))
% 5.85/6.11 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5820_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18260,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3))
% 5.85/6.11 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3926]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18261,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18260]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3922,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5821_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18252,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3922]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18253,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18252]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3918,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5822_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18244,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.85/6.11 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3918]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18245,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.11 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18244]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3914,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.11 | ~ class_Rings_Olinordered__semiring(X0) ),
% 5.85/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5823_3) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18236,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.11 | ~ class_Rings_Olinordered__semiring(X0) ),
% 5.85/6.11 inference(copy,[status(esa)],[c_3914]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_18237,plain,
% 5.85/6.11 ( ~ class_Rings_Olinordered__semiring(X0)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.85/6.11 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.85/6.11 inference(rewriting,[status(thm)],[c_18236]) ).
% 5.85/6.11
% 5.85/6.11 cnf(c_3910,plain,
% 5.85/6.11 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.11 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5824_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18228,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3910]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18229,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_18228]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3906,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ class_Rings_Olinordered__semiring(X0) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5825_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18220,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ class_Rings_Olinordered__semiring(X0) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3906]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18221,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__semiring(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_18220]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3902,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5826_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18212,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3902]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18213,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_18212]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3890,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5829_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18188,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3890]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18189,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_18188]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3886,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5830_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18180,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3886]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18181,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_18180]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3870,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 5.85/6.12 | ~ class_Rings_Olinordered__semidom(X2) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5834_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18148,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 5.85/6.12 | ~ class_Rings_Olinordered__semidom(X2) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3870]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18149,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_18148]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3862,plain,
% 5.85/6.12 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = X2
% 5.85/6.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.12 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5836_5) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18132,plain,
% 5.85/6.12 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = X2
% 5.85/6.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.12 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3862]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18133,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.85/6.12 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1) = X0
% 5.85/6.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.12 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X0) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_18132]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3856,plain,
% 5.85/6.12 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = X2
% 5.85/6.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.12 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5837_5) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18120,plain,
% 5.85/6.12 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = X2
% 5.85/6.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.12 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3856]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18121,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.85/6.12 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1) = X3
% 5.85/6.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.12 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X0) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_18120]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3849,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1)),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5840_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18106,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1)),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3849]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18107,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0))) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_18106]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3802,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.85/6.12 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5856_4) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18012,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.85/6.12 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3802]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_18013,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_18012]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3795,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5858_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17998,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3795]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17999,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17998]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3791,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5859_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17990,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3791]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17991,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17990]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3761,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5873_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17930,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3761]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17931,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17930]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3757,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5874_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17922,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3757]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17923,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17922]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3753,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5875_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17914,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3753]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17915,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17914]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3749,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5876_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17906,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3749]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17907,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17906]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3740,plain,
% 5.85/6.12 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.85/6.12 | X1 != X3 ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5879_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17888,plain,
% 5.85/6.12 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.85/6.12 | X1 != X3 ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3740]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17889,plain,
% 5.85/6.12 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.85/6.12 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | X1 != X3 ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17888]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3737,plain,
% 5.85/6.12 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.85/6.12 | X2 != X4 ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5880_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17882,plain,
% 5.85/6.12 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.85/6.12 | X2 != X4 ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3737]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17883,plain,
% 5.85/6.12 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.85/6.12 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | X2 != X4 ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17882]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3733,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5882_0) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17874,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3733]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17875,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17874]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3730,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5882_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17868,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3730]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17869,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17868]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3729,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5883_0) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17866,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3729]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17867,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17866]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3726,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5883_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17860,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3726]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17861,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17860]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3705,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5890_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17818,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3705]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17819,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17818]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3701,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5891_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17810,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3701]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17811,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17810]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3697,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5892_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17802,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3697]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17803,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17802]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3693,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5893_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17794,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3693]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17795,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17794]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3689,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5894_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17786,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3689]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17787,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17786]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3685,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5895_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17778,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3685]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17779,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17778]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3681,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5896_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17770,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3681]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17771,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17770]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3677,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5897_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17762,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3677]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17763,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),X3)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17762]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3673,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5898_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17754,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3673]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17755,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17754]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3669,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5899_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17746,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3669]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17747,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),X3)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17746]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3665,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5900_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17738,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3665]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17739,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17738]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3661,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5901_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17730,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3661]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17731,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17730]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3655,plain,
% 5.85/6.12 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = X2
% 5.85/6.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5902_5) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17718,plain,
% 5.85/6.12 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = X2
% 5.85/6.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3655]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17719,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.85/6.12 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1) = X0
% 5.85/6.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.12 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X0) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17718]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3649,plain,
% 5.85/6.12 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = X2
% 5.85/6.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5903_5) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17706,plain,
% 5.85/6.12 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = X2
% 5.85/6.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3649]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17707,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.85/6.12 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1) = X3
% 5.85/6.12 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.85/6.12 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X0) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17706]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3647,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5904_1) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17702,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3647]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17703,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.85/6.12 | 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))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17702]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3645,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5904_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17698,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3645]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17699,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.85/6.12 | 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))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17698]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3637,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5906_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17682,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3637]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17683,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17682]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3633,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5907_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17674,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3633]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17675,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17674]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3617,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5911_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17642,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3617]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17643,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17642]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3613,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5912_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17634,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3613]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17635,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17634]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3609,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5913_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17626,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3609]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17627,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17626]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3605,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5914_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17618,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3605]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17619,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17618]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3601,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5915_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17610,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3601]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17611,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),X3)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17610]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3581,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5920_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17570,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3581]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17571,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,X3,c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17570]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3577,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5921_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17562,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X1) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3577]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17563,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17562]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3574,plain,
% 5.85/6.12 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.85/6.12 | X1 != X2
% 5.85/6.12 | X3 = X4
% 5.85/6.12 | X5 = c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.12 | c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)) != c_Groups_Oplus__class_Oplus(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X4)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5922_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17556,plain,
% 5.85/6.12 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.85/6.12 | X1 != X2
% 5.85/6.12 | X3 = X4
% 5.85/6.12 | X5 = c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.12 | c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)) != c_Groups_Oplus__class_Oplus(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X4)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3574]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17557,plain,
% 5.85/6.12 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.85/6.12 | c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) != c_Groups_Oplus__class_Oplus(X0,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X5))
% 5.85/6.12 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.12 | X1 != X4
% 5.85/6.12 | X3 = X5 ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17556]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3572,plain,
% 5.85/6.12 ( X0 = X1
% 5.85/6.12 | X2 = c_Groups_Ozero__class_Ozero(X3)
% 5.85/6.12 | c_Groups_Oplus__class_Oplus(X3,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0)) != c_Groups_Oplus__class_Oplus(X3,X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1))
% 5.85/6.12 | X4 != X5
% 5.85/6.12 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5922_4) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17552,plain,
% 5.85/6.12 ( X0 = X1
% 5.85/6.12 | X2 = c_Groups_Ozero__class_Ozero(X3)
% 5.85/6.12 | c_Groups_Oplus__class_Oplus(X3,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0)) != c_Groups_Oplus__class_Oplus(X3,X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1))
% 5.85/6.12 | X4 != X5
% 5.85/6.12 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3572]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17553,plain,
% 5.85/6.12 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.85/6.12 | c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) != c_Groups_Oplus__class_Oplus(X0,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X5))
% 5.85/6.12 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.85/6.12 | X3 = X5
% 5.85/6.12 | X1 != X4 ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17552]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3560,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5926_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17528,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3560]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17529,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17528]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3545,plain,
% 5.85/6.12 ( c_RComplete_Onatceiling(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5931_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17498,plain,
% 5.85/6.12 ( c_RComplete_Onatceiling(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3545]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17499,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0)
% 5.85/6.12 | c_RComplete_Onatceiling(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17498]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3532,plain,
% 5.85/6.12 ( epred2_3(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | ~ hBOOL(hAPP(X0,sk1_esk83_3(X2,X1,X0))) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5937_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17472,plain,
% 5.85/6.12 ( epred2_3(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | ~ hBOOL(hAPP(X0,sk1_esk83_3(X2,X1,X0))) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3532]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17473,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.12 | ~ hBOOL(hAPP(X1,sk1_esk83_3(X2,X0,X1)))
% 5.85/6.12 | epred2_3(X1,X0,X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17472]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3529,plain,
% 5.85/6.12 ( epred2_3(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.12 | ~ hBOOL(hAPP(X0,sk1_esk81_3(X2,X1,X0))) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5938_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17466,plain,
% 5.85/6.12 ( epred2_3(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.12 | ~ hBOOL(hAPP(X0,sk1_esk81_3(X2,X1,X0))) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3529]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17467,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.12 | ~ hBOOL(hAPP(X1,sk1_esk81_3(X2,X0,X1)))
% 5.85/6.12 | epred2_3(X1,X0,X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17466]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3526,plain,
% 5.85/6.12 ( epred1_3(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | ~ hBOOL(hAPP(X0,sk1_esk78_3(X2,X1,X0))) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5939_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17460,plain,
% 5.85/6.12 ( epred1_3(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | ~ hBOOL(hAPP(X0,sk1_esk78_3(X2,X1,X0))) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3526]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17461,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.12 | ~ hBOOL(hAPP(X1,sk1_esk78_3(X2,X0,X1)))
% 5.85/6.12 | epred1_3(X1,X0,X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17460]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3523,plain,
% 5.85/6.12 ( epred1_3(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.12 | ~ hBOOL(hAPP(X0,sk1_esk76_3(X2,X1,X0))) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5940_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17454,plain,
% 5.85/6.12 ( epred1_3(X0,X1,X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.12 | ~ hBOOL(hAPP(X0,sk1_esk76_3(X2,X1,X0))) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3523]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17455,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.85/6.12 | ~ hBOOL(hAPP(X1,sk1_esk76_3(X2,X0,X1)))
% 5.85/6.12 | epred1_3(X1,X0,X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17454]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3520,plain,
% 5.85/6.12 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5941_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17448,plain,
% 5.85/6.12 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3520]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17449,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X0),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17448]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3517,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5944_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17442,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3517]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17443,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17442]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3483,plain,
% 5.85/6.12 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5960_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17374,plain,
% 5.85/6.12 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3483]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17375,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.85/6.12 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17374]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3466,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5968_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17340,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3466]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17341,plain,
% 5.85/6.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.85/6.12 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)) != X2 ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17340]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3460,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5970_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17328,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field(X0) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3460]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17329,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17328]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3452,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5972_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17312,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3452]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17313,plain,
% 5.85/6.12 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17312]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3445,plain,
% 5.85/6.12 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk58_3(X2,X1,X0),X2)
% 5.85/6.12 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5974_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17298,plain,
% 5.85/6.12 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.85/6.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk58_3(X2,X1,X0),X2)
% 5.85/6.12 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3445]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17299,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk58_3(X0,X1,X2),X0)
% 5.85/6.12 | ~ hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.85/6.12 | hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0))) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17298]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3441,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
% 5.85/6.12 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5975_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17290,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
% 5.85/6.12 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3441]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17291,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 5.85/6.12 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0)) != X1 ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17290]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3438,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.85/6.12 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | X1 = X3
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5977_2) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17284,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.85/6.12 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | X1 = X3
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3438]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17285,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)
% 5.85/6.12 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3)
% 5.85/6.12 | X1 = X2 ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17284]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3435,plain,
% 5.85/6.12 ( X0 = X1
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X0)
% 5.85/6.12 | hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X2)
% 5.85/6.12 | ~ class_Rings_Olinordered__semidom(X3) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5977_5) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17278,plain,
% 5.85/6.12 ( X0 = X1
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X0)
% 5.85/6.12 | hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X2)
% 5.85/6.12 | ~ class_Rings_Olinordered__semidom(X3) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3435]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17279,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)
% 5.85/6.12 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 5.85/6.12 | X2 = X1 ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17278]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3423,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5982_4) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17254,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3423]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17255,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__idom(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17254]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3418,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5983_4) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17244,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3418]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17245,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__idom(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17244]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3414,plain,
% 5.85/6.12 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_RealVector_Onorm__class_Onorm(X1,X3)))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.85/6.12 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5984_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17236,plain,
% 5.85/6.12 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_RealVector_Onorm__class_Onorm(X1,X3)))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.85/6.12 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3414]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17237,plain,
% 5.85/6.12 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_RealVector_Onorm__class_Onorm(X0,X3)))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.85/6.12 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17236]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3410,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.12 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5985_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17228,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.85/6.12 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.85/6.12 inference(copy,[status(esa)],[c_3410]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17229,plain,
% 5.85/6.12 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 5.85/6.12 inference(rewriting,[status(thm)],[c_17228]) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_3406,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.85/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.85/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5986_3) ).
% 5.85/6.12
% 5.85/6.12 cnf(c_17220,plain,
% 5.85/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.85/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3406]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17221,plain,
% 5.97/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.12 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17220]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3402,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5987_3) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17212,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3402]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17213,plain,
% 5.97/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.12 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17212]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3390,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.12 | ~ class_Rings_Olinordered__comm__semiring__strict(X0) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5990_3) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17188,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.12 | ~ class_Rings_Olinordered__comm__semiring__strict(X0) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3390]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17189,plain,
% 5.97/6.12 ( ~ class_Rings_Olinordered__comm__semiring__strict(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17188]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3386,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.12 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5991_3) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17180,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.12 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3386]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17181,plain,
% 5.97/6.12 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17180]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3382,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.12 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5992_3) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17172,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.12 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3382]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17173,plain,
% 5.97/6.12 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17172]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3370,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5995_3) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17148,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3370]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17149,plain,
% 5.97/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17148]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3362,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5997_3) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17132,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.12 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3362]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17133,plain,
% 5.97/6.12 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17132]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3346,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.97/6.12 | ~ class_Rings_Oordered__comm__semiring(X0) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6001_3) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17100,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.97/6.12 | ~ class_Rings_Oordered__comm__semiring(X0) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3346]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17101,plain,
% 5.97/6.12 ( ~ class_Rings_Oordered__comm__semiring(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17100]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3342,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.97/6.12 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6002_3) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17092,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.97/6.12 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3342]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17093,plain,
% 5.97/6.12 ( ~ class_Rings_Oordered__semiring(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17092]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3338,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.12 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6003_3) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17084,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.12 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3338]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17085,plain,
% 5.97/6.12 ( ~ class_Rings_Oordered__semiring(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17084]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3328,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.12 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6006_3) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17064,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.12 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3328]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17065,plain,
% 5.97/6.12 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.12 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X4,X2))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17064]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3326,plain,
% 5.97/6.12 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.12 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6007_1) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17060,plain,
% 5.97/6.12 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.12 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3326]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17061,plain,
% 5.97/6.12 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.97/6.12 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17060]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3322,plain,
% 5.97/6.12 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.12 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6008_1) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17052,plain,
% 5.97/6.12 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.12 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3322]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17053,plain,
% 5.97/6.12 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 5.97/6.12 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17052]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3317,plain,
% 5.97/6.12 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6009_2) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17042,plain,
% 5.97/6.12 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3317]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17043,plain,
% 5.97/6.12 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.12 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17042]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3313,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.97/6.12 | ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6010_3) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17034,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.97/6.12 | ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3313]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17035,plain,
% 5.97/6.12 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.12 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17034]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3298,plain,
% 5.97/6.12 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.97/6.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk56_3(X2,X1,X0),X2)
% 5.97/6.12 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6014_2) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17004,plain,
% 5.97/6.12 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.97/6.12 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk56_3(X2,X1,X0),X2)
% 5.97/6.12 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3298]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_17005,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk56_3(X0,X1,X2),X0)
% 5.97/6.12 | hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X0)))
% 5.97/6.12 | ~ hBOOL(hAPP(X2,X1)) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_17004]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3293,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.12 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 5.97/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6015_4) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_16994,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.12 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.12 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.12 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 5.97/6.12 inference(copy,[status(esa)],[c_3293]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_16995,plain,
% 5.97/6.12 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.12 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.12 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.97/6.12 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.12 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.12 inference(rewriting,[status(thm)],[c_16994]) ).
% 5.97/6.12
% 5.97/6.12 cnf(c_3288,plain,
% 5.97/6.12 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6016_4) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16984,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3288]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16985,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16984]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3286,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6017_1) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16980,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3286]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16981,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16980]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3283,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6017_4) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16974,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3283]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16975,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16974]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3282,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6018_0) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16972,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3282]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16973,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16972]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3278,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6018_4) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16964,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3278]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16965,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16964]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3268,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X0) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6022_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16944,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X0) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3268]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16945,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16944]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3265,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6023_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16938,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3265]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16939,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16938]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3245,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6029_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16898,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3245]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16899,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.13 | 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))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16898]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3243,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6030_1) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16894,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3243]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16895,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16894]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3239,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6031_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16886,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3239]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16887,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.97/6.13 | 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))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16886]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3237,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6032_1) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16882,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3237]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16883,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16882]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3234,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6033_1) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16876,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3234]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16877,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16876]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3226,plain,
% 5.97/6.13 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.97/6.13 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6036_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16860,plain,
% 5.97/6.13 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.97/6.13 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3226]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16861,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.13 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16860]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3223,plain,
% 5.97/6.13 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.97/6.13 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0)) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6037_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16854,plain,
% 5.97/6.13 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.97/6.13 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0)) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3223]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16855,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.13 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16854]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3207,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6044_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16822,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3207]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16823,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16822]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3174,plain,
% 5.97/6.13 ( hBOOL(hAPP(X0,X1))
% 5.97/6.13 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.13 | X2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6057_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16756,plain,
% 5.97/6.13 ( hBOOL(hAPP(X0,X1))
% 5.97/6.13 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.13 | X2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3174]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16757,plain,
% 5.97/6.13 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.13 | hBOOL(hAPP(X0,X1))
% 5.97/6.13 | X2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16756]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3171,plain,
% 5.97/6.13 ( hBOOL(hAPP(X0,X1))
% 5.97/6.13 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.97/6.13 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6058_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16750,plain,
% 5.97/6.13 ( hBOOL(hAPP(X0,X1))
% 5.97/6.13 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.97/6.13 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3171]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16751,plain,
% 5.97/6.13 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.97/6.13 | hBOOL(hAPP(X0,X1))
% 5.97/6.13 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16750]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3164,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6061_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16736,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3164]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16737,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16736]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3161,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6062_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16730,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3161]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16731,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16730]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3158,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6063_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16724,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3158]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16725,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16724]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3155,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6064_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16718,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3155]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16719,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16718]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3118,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6078_1) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16644,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3118]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16645,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16644]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3102,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6085_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16612,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3102]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16613,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16612]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3099,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6086_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16606,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3099]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16607,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16606]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3093,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6088_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16594,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3093]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16595,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16594]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3071,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6094_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16550,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3071]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16551,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16550]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3068,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6095_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16544,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3068]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16545,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16544]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3064,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6096_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16536,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3064]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16537,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16536]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3060,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6097_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16528,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3060]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16529,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16528]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3056,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6098_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16520,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3056]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16521,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16520]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3052,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6099_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16512,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3052]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16513,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16512]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3048,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6100_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16504,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3048]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16505,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16504]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3047,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6101_0) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16502,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3047]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16503,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16502]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3044,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6101_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16496,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3044]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16497,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16496]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3043,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6102_0) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16494,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3043]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16495,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16494]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3040,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6102_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16488,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3040]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16489,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16488]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3036,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6103_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16480,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3036]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16481,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16480]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3032,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6104_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16472,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3032]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16473,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16472]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3028,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6105_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16464,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3028]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16465,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16464]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3024,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6106_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16456,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3024]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16457,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16456]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3020,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6107_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16448,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X2,X1)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3020]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16449,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16448]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3016,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6108_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16440,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3016]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16441,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16440]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3015,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6109_0) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16438,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3015]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16439,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16438]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3012,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6109_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16432,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3012]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16433,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16432]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3011,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6110_0) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16430,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3011]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16431,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16430]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3008,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6110_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16424,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3008]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16425,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16424]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_3004,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6111_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16416,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_3004]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16417,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16416]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2989,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6116_4) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16386,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2989]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16387,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16386]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2979,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6118_4) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16366,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2979]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16367,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16366]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2970,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6120_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16348,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2970]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16349,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16348]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2969,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6120_4) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16346,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2969]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16347,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16346]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2960,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6122_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16328,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X3),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2960]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16329,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X2),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16328]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2959,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6122_4) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16326,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2959]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16327,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X3,X1),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16326]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2955,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6123_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16318,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2955]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16319,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16318]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2954,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6124_0) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16316,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2954]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16317,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16316]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2951,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6124_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16310,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2951]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16311,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16310]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2950,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6125_0) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16308,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2950]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16309,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16308]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2947,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6125_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16302,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2947]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16303,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16302]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2943,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6126_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16294,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2943]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16295,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16294]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2939,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6127_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16286,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2939]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16287,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16286]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2935,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6128_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16278,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2935]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16279,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16278]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2931,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6129_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16270,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2931]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16271,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16270]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2927,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6130_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16262,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2927]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16263,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16262]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2925,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Nat_OSuc(X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | X1 = X3
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6131_1) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16258,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Nat_OSuc(X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | X1 = X3
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2925]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16259,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3))
% 5.97/6.13 | X1 = X2 ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16258]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2922,plain,
% 5.97/6.13 ( X0 = X1
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0)
% 5.97/6.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),c_Nat_OSuc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Nat_OSuc(X3))
% 5.97/6.13 | ~ class_Rings_Olinordered__semidom(X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6131_4) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16252,plain,
% 5.97/6.13 ( X0 = X1
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0)
% 5.97/6.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),c_Nat_OSuc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Nat_OSuc(X3))
% 5.97/6.13 | ~ class_Rings_Olinordered__semidom(X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2922]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16253,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3))
% 5.97/6.13 | X2 = X1 ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16252]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2914,plain,
% 5.97/6.13 ( epred2_3(X0,X1,X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X2,X1,X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6138_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16236,plain,
% 5.97/6.13 ( epred2_3(X0,X1,X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X2,X1,X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2914]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16237,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X0,X1,X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X0,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.13 | epred2_3(X2,X1,X0) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16236]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2911,plain,
% 5.97/6.13 ( epred1_3(X0,X1,X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X2,X1,X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6139_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16230,plain,
% 5.97/6.13 ( epred1_3(X0,X1,X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X2,X1,X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2911]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16231,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X0,X1,X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X0,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.13 | epred1_3(X2,X1,X0) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16230]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2908,plain,
% 5.97/6.13 ( epred2_3(X0,X1,X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X2,X1,X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk83_3(X2,X1,X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6140_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16224,plain,
% 5.97/6.13 ( epred2_3(X0,X1,X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X2,X1,X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk83_3(X2,X1,X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2908]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16225,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X0,X1,X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk83_3(X0,X1,X2))
% 5.97/6.13 | epred2_3(X2,X1,X0) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16224]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2902,plain,
% 5.97/6.13 ( epred1_3(X0,X1,X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X2,X1,X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk79_3(X2,X1,X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6142_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16212,plain,
% 5.97/6.13 ( epred1_3(X0,X1,X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X2,X1,X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk79_3(X2,X1,X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2902]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16213,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X0,X1,X2))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk79_3(X0,X1,X2))
% 5.97/6.13 | epred1_3(X2,X1,X0) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16212]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2894,plain,
% 5.97/6.13 ( epred2_3(X0,X1,X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X2,X1,X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk83_3(X2,X1,X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6145_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16196,plain,
% 5.97/6.13 ( epred2_3(X0,X1,X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X2,X1,X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk83_3(X2,X1,X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2894]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16197,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X0,X1,X2),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk83_3(X0,X1,X2))
% 5.97/6.13 | epred2_3(X2,X1,X0) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16196]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2891,plain,
% 5.97/6.13 ( epred1_3(X0,X1,X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X2,X1,X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk79_3(X2,X1,X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6146_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16190,plain,
% 5.97/6.13 ( epred1_3(X0,X1,X2)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X2,X1,X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk79_3(X2,X1,X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2891]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16191,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X0,X1,X2),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk79_3(X0,X1,X2))
% 5.97/6.13 | epred1_3(X2,X1,X0) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16190]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2878,plain,
% 5.97/6.13 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.13 | ~ epred2_3(X0,X2,X1)
% 5.97/6.13 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6151_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16164,plain,
% 5.97/6.13 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.13 | ~ epred2_3(X0,X2,X1)
% 5.97/6.13 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2878]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16165,plain,
% 5.97/6.13 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.13 | ~ hBOOL(hAPP(X0,X1))
% 5.97/6.13 | ~ epred2_3(X0,X2,X1) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16164]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2870,plain,
% 5.97/6.13 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6154_1) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16148,plain,
% 5.97/6.13 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2870]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16149,plain,
% 5.97/6.13 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16148]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2866,plain,
% 5.97/6.13 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6155_1) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16140,plain,
% 5.97/6.13 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2866]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16141,plain,
% 5.97/6.13 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16140]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2862,plain,
% 5.97/6.13 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6156_1) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16132,plain,
% 5.97/6.13 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2862]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16133,plain,
% 5.97/6.13 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16132]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2858,plain,
% 5.97/6.13 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6157_1) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16124,plain,
% 5.97/6.13 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2858]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16125,plain,
% 5.97/6.13 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16124]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2852,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6158_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16112,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2852]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16113,plain,
% 5.97/6.13 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X2,X1))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16112]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2844,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6160_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16096,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2844]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16097,plain,
% 5.97/6.13 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16096]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2836,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6162_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16080,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2836]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16081,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16080]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2828,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6164_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16064,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2828]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16065,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16064]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2824,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6165_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16056,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2824]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16057,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16056]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2821,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6166_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16050,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2821]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16051,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16050]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2820,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6166_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16048,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2820]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16049,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16048]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2817,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6167_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16042,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2817]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16043,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16042]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2816,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6167_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16040,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2816]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16041,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16040]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2812,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6168_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16032,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2812]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16033,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16032]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2808,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6169_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16024,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2808]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16025,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16024]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2806,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6170_1) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16020,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2806]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16021,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16020]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2796,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6172_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16000,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2796]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_16001,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_16000]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2794,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6173_1) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15996,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2794]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15997,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_15996]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2789,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6174_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15986,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2789]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15987,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_15986]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2788,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6174_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15984,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2788]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15985,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_15984]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2785,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6175_2) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15978,plain,
% 5.97/6.13 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2785]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15979,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_15978]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2784,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6175_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15976,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2784]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15977,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_15976]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2780,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6176_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15968,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2780]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15969,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_15968]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2776,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6177_3) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15960,plain,
% 5.97/6.13 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2776]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15961,plain,
% 5.97/6.13 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_15960]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2759,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6188_1) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15926,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2759]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15927,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_15926]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2755,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6189_1) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15918,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(copy,[status(esa)],[c_2755]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_15919,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.13 inference(rewriting,[status(thm)],[c_15918]) ).
% 5.97/6.13
% 5.97/6.13 cnf(c_2739,plain,
% 5.97/6.13 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.13 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.13 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6193_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15886,plain,
% 5.97/6.14 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2739]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15887,plain,
% 5.97/6.14 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15886]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2726,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ class_Rings_Oordered__ring(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6196_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15860,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ class_Rings_Oordered__ring(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2726]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15861,plain,
% 5.97/6.14 ( ~ class_Rings_Oordered__ring(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15860]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2725,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ class_Rings_Oordered__ring(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6196_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15858,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ class_Rings_Oordered__ring(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2725]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15859,plain,
% 5.97/6.14 ( ~ class_Rings_Oordered__ring(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15858]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2719,plain,
% 5.97/6.14 ( ~ class_Rings_Oordered__ring(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6198_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15846,plain,
% 5.97/6.14 ( ~ class_Rings_Oordered__ring(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2719]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15847,plain,
% 5.97/6.14 ( ~ class_Rings_Oordered__ring(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15846]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2703,plain,
% 5.97/6.14 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6202_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15814,plain,
% 5.97/6.14 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2703]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15815,plain,
% 5.97/6.14 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15814]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2697,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6203_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15802,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2697]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15803,plain,
% 5.97/6.14 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15802]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2693,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6204_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15794,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2693]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15795,plain,
% 5.97/6.14 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15794]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2690,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6205_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15788,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2690]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15789,plain,
% 5.97/6.14 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15788]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2689,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6205_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15786,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2689]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15787,plain,
% 5.97/6.14 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15786]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2686,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6206_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15780,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2686]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15781,plain,
% 5.97/6.14 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15780]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2685,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6206_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15778,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2685]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15779,plain,
% 5.97/6.14 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15778]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2676,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.14 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6209_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15760,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.14 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2676]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15761,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15760]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2673,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.97/6.14 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6210_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15754,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.97/6.14 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2673]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15755,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15754]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2664,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.14 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6213_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15736,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.14 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2664]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15737,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15736]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2661,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.97/6.14 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6214_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15730,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.97/6.14 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2661]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15731,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15730]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2659,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6215_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15726,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2659]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15727,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15726]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2658,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6215_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15724,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2658]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15725,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15724]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2656,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6216_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15720,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2656]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15721,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15720]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2655,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6216_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15718,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2655]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15719,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15718]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2651,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | X0 = sk1_esk75_2(X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.14 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1 ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6218_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15710,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | X0 = sk1_esk75_2(X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.14 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1 ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2651]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15711,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.97/6.14 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1
% 5.97/6.14 | X0 = sk1_esk75_2(X1,X2) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15710]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2650,plain,
% 5.97/6.14 ( X0 = sk1_esk75_2(X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.14 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6218_4) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15708,plain,
% 5.97/6.14 ( X0 = sk1_esk75_2(X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.14 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2650]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15709,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.97/6.14 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2) != X0
% 5.97/6.14 | X1 = sk1_esk75_2(X0,X2) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15708]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2646,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.14 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6219_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15700,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.14 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2646]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15701,plain,
% 5.97/6.14 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15700]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2643,plain,
% 5.97/6.14 ( c_SEQ_Oincseq(X0,X1)
% 5.97/6.14 | ~ class_Orderings_Oorder(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk42_2(X1,X0)),hAPP(X1,sk1_esk43_2(X1,X0))) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6220_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15694,plain,
% 5.97/6.14 ( c_SEQ_Oincseq(X0,X1)
% 5.97/6.14 | ~ class_Orderings_Oorder(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk42_2(X1,X0)),hAPP(X1,sk1_esk43_2(X1,X0))) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2643]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15695,plain,
% 5.97/6.14 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk42_2(X1,X0)),hAPP(X1,sk1_esk43_2(X1,X0)))
% 5.97/6.14 | c_SEQ_Oincseq(X0,X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15694]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2640,plain,
% 5.97/6.14 ( c_SEQ_Odecseq(X0,X1)
% 5.97/6.14 | ~ class_Orderings_Oorder(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk32_2(X1,X0)),hAPP(X1,sk1_esk31_2(X1,X0))) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6221_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15688,plain,
% 5.97/6.14 ( c_SEQ_Odecseq(X0,X1)
% 5.97/6.14 | ~ class_Orderings_Oorder(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk32_2(X1,X0)),hAPP(X1,sk1_esk31_2(X1,X0))) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2640]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15689,plain,
% 5.97/6.14 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk32_2(X1,X0)),hAPP(X1,sk1_esk31_2(X1,X0)))
% 5.97/6.14 | c_SEQ_Odecseq(X0,X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15688]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2622,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6226_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15652,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2622]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15653,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X3,X2)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15652]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2616,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6228_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15640,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2616]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15641,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15640]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2615,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6228_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15638,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2615]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15639,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15638]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2613,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6229_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15634,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2613]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15635,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15634]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2612,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6229_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15632,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2612]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15633,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15632]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2573,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6247_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15554,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2573]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15555,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15554]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2570,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6248_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15548,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2570]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15549,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15548]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2560,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6251_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15528,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2560]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15529,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15528]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2557,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6252_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15522,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2557]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15523,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15522]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2554,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6253_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15516,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2554]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15517,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15516]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2548,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6255_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15504,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2548]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15505,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15504]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2546,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6256_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15500,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2546]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15501,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15500]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2542,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6257_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15492,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2542]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15493,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15492]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2540,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6258_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15488,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2540]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15489,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15488]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2537,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6259_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15482,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2537]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15483,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15482]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2531,plain,
% 5.97/6.14 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.14 | X0 = X2
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6261_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15470,plain,
% 5.97/6.14 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.14 | X0 = X2
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2531]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15471,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)
% 5.97/6.14 | X2 = X1 ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15470]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2529,plain,
% 5.97/6.14 ( X0 = X1
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6261_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15466,plain,
% 5.97/6.14 ( X0 = X1
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2529]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15467,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)
% 5.97/6.14 | X1 = X2 ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15466]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2526,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6262_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15460,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2526]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15461,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15460]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2520,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6264_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15448,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2520]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15449,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15448]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2514,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6266_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15436,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2514]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15437,plain,
% 5.97/6.14 ( ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15436]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2511,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6267_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15430,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2511]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15431,plain,
% 5.97/6.14 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15430]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2508,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6268_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15424,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2508]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15425,plain,
% 5.97/6.14 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15424]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2505,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6269_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15418,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2505]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15419,plain,
% 5.97/6.14 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15418]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2502,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6270_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15412,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2502]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15413,plain,
% 5.97/6.14 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15412]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2487,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Nat_OSuc(X2)))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.14 | X2 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6278_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15382,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Nat_OSuc(X2)))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.14 | X2 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2487]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15383,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Nat_OSuc(X2)))
% 5.97/6.14 | X2 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15382]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2484,plain,
% 5.97/6.14 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.14 | ~ epred2_3(X0,X2,X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6279_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15376,plain,
% 5.97/6.14 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.14 | ~ epred2_3(X0,X2,X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2484]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15377,plain,
% 5.97/6.14 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.14 | ~ epred2_3(X0,X2,X1)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15376]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2481,plain,
% 5.97/6.14 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.14 | ~ epred1_3(X0,X2,X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6280_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15370,plain,
% 5.97/6.14 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.14 | ~ epred1_3(X0,X2,X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2481]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15371,plain,
% 5.97/6.14 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.97/6.14 | ~ epred1_3(X0,X2,X1)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15370]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2440,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6295_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15288,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2440]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15289,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15288]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2437,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6296_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15282,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2437]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15283,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15282]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2434,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6297_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15276,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2434]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15277,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15276]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2424,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6302_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15256,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2424]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15257,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15256]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2423,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6302_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15254,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2423]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15255,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15254]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2420,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6303_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15248,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2420]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15249,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15248]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2419,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6303_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15246,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2419]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15247,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15246]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2416,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6304_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15240,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2416]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15241,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15240]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2415,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6304_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15238,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2415]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15239,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15238]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2412,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6305_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15232,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2412]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15233,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15232]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2411,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6305_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15230,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.14 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2411]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15231,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15230]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2379,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6325_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15166,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2379]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15167,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15166]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2377,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6326_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15162,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2377]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15163,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15162]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2368,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6330_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15144,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2368]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15145,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15144]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2362,plain,
% 5.97/6.14 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.97/6.14 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6332_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15132,plain,
% 5.97/6.14 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.97/6.14 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2362]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15133,plain,
% 5.97/6.14 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.14 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15132]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2345,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk38_2(X1,X0))))
% 5.97/6.14 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.14 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6340_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15098,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk38_2(X1,X0))))
% 5.97/6.14 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.14 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2345]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15099,plain,
% 5.97/6.14 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk38_2(X1,X0))))
% 5.97/6.14 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15098]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2342,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk36_2(X1,X0))))
% 5.97/6.14 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.14 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6341_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15092,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk36_2(X1,X0))))
% 5.97/6.14 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.14 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2342]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15093,plain,
% 5.97/6.14 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk36_2(X1,X0))))
% 5.97/6.14 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15092]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2339,plain,
% 5.97/6.14 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6343_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15086,plain,
% 5.97/6.14 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2339]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15087,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15086]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2337,plain,
% 5.97/6.14 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6343_4) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15082,plain,
% 5.97/6.14 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2337]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15083,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15082]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2334,plain,
% 5.97/6.14 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6344_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15076,plain,
% 5.97/6.14 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2334]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15077,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15076]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2332,plain,
% 5.97/6.14 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6344_4) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15072,plain,
% 5.97/6.14 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2332]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15073,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15072]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2329,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 5.97/6.14 | ~ class_Orderings_Oord(X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6345_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15066,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 5.97/6.14 | ~ class_Orderings_Oord(X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2329]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15067,plain,
% 5.97/6.14 ( ~ class_Orderings_Oord(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15066]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2328,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 5.97/6.14 | ~ class_Orderings_Oord(X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6345_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15064,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 5.97/6.14 | ~ class_Orderings_Oord(X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2328]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15065,plain,
% 5.97/6.14 ( ~ class_Orderings_Oord(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X3,X2) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15064]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2327,plain,
% 5.97/6.14 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) != c_Rings_Oinverse__class_Odivide(X0,X3,X4)
% 5.97/6.14 | ~ class_Fields_Ofield(X0)
% 5.97/6.14 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)
% 5.97/6.14 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6346_0) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15062,plain,
% 5.97/6.14 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) != c_Rings_Oinverse__class_Odivide(X0,X3,X4)
% 5.97/6.14 | ~ class_Fields_Ofield(X0)
% 5.97/6.14 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)
% 5.97/6.14 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2327]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15063,plain,
% 5.97/6.14 ( ~ class_Fields_Ofield(X0)
% 5.97/6.14 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 5.97/6.14 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) != c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15062]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2323,plain,
% 5.97/6.14 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X0)
% 5.97/6.14 | ~ class_Fields_Ofield(X1)
% 5.97/6.14 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) != c_Rings_Oinverse__class_Odivide(X1,X4,X2) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6346_4) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15054,plain,
% 5.97/6.14 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X0)
% 5.97/6.14 | ~ class_Fields_Ofield(X1)
% 5.97/6.14 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) != c_Rings_Oinverse__class_Odivide(X1,X4,X2) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2323]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15055,plain,
% 5.97/6.14 ( ~ class_Fields_Ofield(X0)
% 5.97/6.14 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 5.97/6.14 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) != c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 5.97/6.14 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15054]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2317,plain,
% 5.97/6.14 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 5.97/6.14 | ~ class_Fields_Ofield(X0)
% 5.97/6.14 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) = c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6349_0) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15042,plain,
% 5.97/6.14 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 5.97/6.14 | ~ class_Fields_Ofield(X0)
% 5.97/6.14 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) = c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2317]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15043,plain,
% 5.97/6.14 ( ~ class_Fields_Ofield(X0)
% 5.97/6.14 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 5.97/6.14 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) = c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15042]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2313,plain,
% 5.97/6.14 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) = c_Rings_Oinverse__class_Odivide(X1,X4,X2)
% 5.97/6.14 | ~ class_Fields_Ofield(X1)
% 5.97/6.14 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6349_4) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15034,plain,
% 5.97/6.14 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) = c_Rings_Oinverse__class_Odivide(X1,X4,X2)
% 5.97/6.14 | ~ class_Fields_Ofield(X1)
% 5.97/6.14 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2313]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15035,plain,
% 5.97/6.14 ( ~ class_Fields_Ofield(X0)
% 5.97/6.14 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)
% 5.97/6.14 | c_Rings_Oinverse__class_Odivide(X0,X1,X4) = c_Rings_Oinverse__class_Odivide(X0,X3,X2)
% 5.97/6.14 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15034]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2298,plain,
% 5.97/6.14 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)) = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6355_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15004,plain,
% 5.97/6.14 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)) = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2298]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15005,plain,
% 5.97/6.14 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15004]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2297,plain,
% 5.97/6.14 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6355_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15002,plain,
% 5.97/6.14 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2297]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_15003,plain,
% 5.97/6.14 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_15002]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2289,plain,
% 5.97/6.14 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 5.97/6.14 | X0 = X2
% 5.97/6.14 | ~ class_Rings_Oidom(X1)
% 5.97/6.14 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6359_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14986,plain,
% 5.97/6.14 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 5.97/6.14 | X0 = X2
% 5.97/6.14 | ~ class_Rings_Oidom(X1)
% 5.97/6.14 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2289]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14987,plain,
% 5.97/6.14 ( ~ class_Rings_Oidom(X0)
% 5.97/6.14 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 5.97/6.14 | X1 = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 5.97/6.14 | X1 = X2 ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14986]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2278,plain,
% 5.97/6.14 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | ~ class_Divides_Osemiring__div(X0)
% 5.97/6.14 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6364_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14964,plain,
% 5.97/6.14 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | ~ class_Divides_Osemiring__div(X0)
% 5.97/6.14 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2278]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14965,plain,
% 5.97/6.14 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.14 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14964]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2273,plain,
% 5.97/6.14 ( X0 != X1
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6366_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14954,plain,
% 5.97/6.14 ( X0 != X1
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2273]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14955,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)
% 5.97/6.14 | X2 != X1 ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14954]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2271,plain,
% 5.97/6.14 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.14 | X0 != X2 ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6366_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14950,plain,
% 5.97/6.14 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.14 | X0 != X2 ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2271]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14951,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.97/6.14 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)
% 5.97/6.14 | X1 != X2 ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14950]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2257,plain,
% 5.97/6.14 ( epred2_3(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X2,X1,X0))
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6371_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14922,plain,
% 5.97/6.14 ( epred2_3(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X2,X1,X0))
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2257]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14923,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk81_3(X0,X1,X2))
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.14 | epred2_3(X2,X1,X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14922]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2251,plain,
% 5.97/6.14 ( epred1_3(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X2,X1,X0))
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6373_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14910,plain,
% 5.97/6.14 ( epred1_3(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X2,X1,X0))
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2251]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14911,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),sk1_esk77_3(X0,X1,X2))
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.14 | epred1_3(X2,X1,X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14910]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2248,plain,
% 5.97/6.14 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6374_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14904,plain,
% 5.97/6.14 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2248]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14905,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X0,X2,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14904]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2246,plain,
% 5.97/6.14 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6374_4) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14900,plain,
% 5.97/6.14 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2246]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14901,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14900]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2245,plain,
% 5.97/6.14 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6374_5) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14898,plain,
% 5.97/6.14 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2245]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14899,plain,
% 5.97/6.14 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.14 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.14 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14898]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2242,plain,
% 5.97/6.14 ( epred2_3(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk83_3(X2,X1,X0)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6375_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14892,plain,
% 5.97/6.14 ( epred2_3(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk83_3(X2,X1,X0)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2242]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14893,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,sk1_esk83_3(X1,X0,X2))
% 5.97/6.14 | epred2_3(X2,X0,X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14892]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2239,plain,
% 5.97/6.14 ( epred2_3(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X2,X1,X0),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6376_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14886,plain,
% 5.97/6.14 ( epred2_3(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X2,X1,X0),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2239]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14887,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X0,X1,X2),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.14 | epred2_3(X2,X1,X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14886]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2236,plain,
% 5.97/6.14 ( epred1_3(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk79_3(X2,X1,X0)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6377_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14880,plain,
% 5.97/6.14 ( epred1_3(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk79_3(X2,X1,X0)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2236]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14881,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,sk1_esk79_3(X1,X0,X2))
% 5.97/6.14 | epred1_3(X2,X0,X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14880]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2233,plain,
% 5.97/6.14 ( epred1_3(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X2,X1,X0),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6378_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14874,plain,
% 5.97/6.14 ( epred1_3(X0,X1,X2)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X2,X1,X0),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2233]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14875,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X0,X1,X2),X1)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.14 | epred1_3(X2,X1,X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14874]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2230,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6379_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14868,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2230]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14869,plain,
% 5.97/6.14 ( ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14868]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2227,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6380_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14862,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2227]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14863,plain,
% 5.97/6.14 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14862]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2224,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6381_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14856,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2224]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14857,plain,
% 5.97/6.14 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14856]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2221,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6382_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14850,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2221]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14851,plain,
% 5.97/6.14 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14850]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2218,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6383_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14844,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 5.97/6.14 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2218]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14845,plain,
% 5.97/6.14 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14844]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2214,plain,
% 5.97/6.14 ( X0 = X1
% 5.97/6.14 | ~ class_Rings_Olinordered__semidom(X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 5.97/6.14 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6384_3) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14836,plain,
% 5.97/6.14 ( X0 = X1
% 5.97/6.14 | ~ class_Rings_Olinordered__semidom(X2)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 5.97/6.14 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2214]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14837,plain,
% 5.97/6.14 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.14 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 5.97/6.14 | X2 = X3 ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14836]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2208,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_RComplete_Onatfloor(X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6386_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14824,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_RComplete_Onatfloor(X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2208]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14825,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_RComplete_Onatfloor(X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14824]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2175,plain,
% 5.97/6.14 ( ~ class_Orderings_Oord(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6400_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14758,plain,
% 5.97/6.14 ( ~ class_Orderings_Oord(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2175]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14759,plain,
% 5.97/6.14 ( ~ class_Orderings_Oord(X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X3,X2) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14758]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2172,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk75_2(X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6402_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14752,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk75_2(X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2172]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14753,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk75_2(X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14752]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2169,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk74_2(X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6403_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14746,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk74_2(X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2169]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14747,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk74_2(X0,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14746]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2167,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6404_1) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14742,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2167]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14743,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14742]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2164,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_RComplete_Onatfloor(X1)) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6405_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14736,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_RComplete_Onatfloor(X1)) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2164]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14737,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_RComplete_Onatfloor(X0)) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14736]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2161,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1) ),
% 5.97/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6406_2) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14730,plain,
% 5.97/6.14 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1) ),
% 5.97/6.14 inference(copy,[status(esa)],[c_2161]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_14731,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.14 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 5.97/6.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1) ),
% 5.97/6.14 inference(rewriting,[status(thm)],[c_14730]) ).
% 5.97/6.14
% 5.97/6.14 cnf(c_2159,plain,
% 5.97/6.14 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk1_esk34_2(X1,X2))
% 5.97/6.15 | ~ hBOOL(hAPP(X2,X0))
% 5.97/6.15 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.15 | ~ hBOOL(hAPP(X2,X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6408_1) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14726,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk1_esk34_2(X1,X2))
% 5.97/6.15 | ~ hBOOL(hAPP(X2,X0))
% 5.97/6.15 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.15 | ~ hBOOL(hAPP(X2,X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_2159]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14727,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk1_esk34_2(X1,X2))
% 5.97/6.15 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.15 | ~ hBOOL(hAPP(X2,X0))
% 5.97/6.15 | ~ hBOOL(hAPP(X2,X1)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14726]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_2133,plain,
% 5.97/6.15 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.15 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.15 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6419_1) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14674,plain,
% 5.97/6.15 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.15 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.15 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_2133]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14675,plain,
% 5.97/6.15 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.15 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.15 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14674]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_2060,plain,
% 5.97/6.15 ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__field(X0)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6455_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14528,plain,
% 5.97/6.15 ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__field(X0)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_2060]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14529,plain,
% 5.97/6.15 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.15 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14528]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_2052,plain,
% 5.97/6.15 ( X0 = X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6459_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14512,plain,
% 5.97/6.15 ( X0 = X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_2052]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14513,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 5.97/6.15 | X1 = X2 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14512]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_2036,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6465_1) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14480,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_2036]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14481,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14480]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_2034,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.15 | ~ class_Orderings_Oorder(X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6465_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14476,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.15 | ~ class_Orderings_Oorder(X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_2034]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14477,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14476]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_2032,plain,
% 5.97/6.15 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6466_1) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14472,plain,
% 5.97/6.15 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_2032]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14473,plain,
% 5.97/6.15 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14472]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_2030,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.15 | ~ class_Orderings_Opreorder(X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6466_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14468,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.15 | ~ class_Orderings_Opreorder(X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_2030]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14469,plain,
% 5.97/6.15 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14468]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1993,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ class_Lattices_Oboolean__algebra(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6480_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14394,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ class_Lattices_Oboolean__algebra(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1993]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14395,plain,
% 5.97/6.15 ( ~ class_Lattices_Oboolean__algebra(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14394]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1990,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6481_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14388,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1990]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14389,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14388]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1987,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6482_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14382,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1987]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14383,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14382]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1967,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6490_1) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14342,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1967]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14343,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14342]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1955,plain,
% 5.97/6.15 ( X0 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 5.97/6.15 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != X1 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6494_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14318,plain,
% 5.97/6.15 ( X0 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 5.97/6.15 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != X1 ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1955]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14319,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != X2
% 5.97/6.15 | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14318]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1952,plain,
% 5.97/6.15 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = X2
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.15 | X0 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6495_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14312,plain,
% 5.97/6.15 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = X2
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.15 | X0 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1952]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14313,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) = X2
% 5.97/6.15 | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14312]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1929,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 5.97/6.15 | ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 5.97/6.15 | ~ c_SEQ_Oincseq(X0,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6505_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14266,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 5.97/6.15 | ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 5.97/6.15 | ~ c_SEQ_Oincseq(X0,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1929]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14267,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X3,X1),hAPP(X3,X2))
% 5.97/6.15 | ~ c_SEQ_Oincseq(X0,X3) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14266]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1925,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 5.97/6.15 | ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 5.97/6.15 | ~ c_SEQ_Odecseq(X0,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6506_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14258,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 5.97/6.15 | ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 5.97/6.15 | ~ c_SEQ_Odecseq(X0,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1925]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14259,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X3,X2),hAPP(X3,X1))
% 5.97/6.15 | ~ c_SEQ_Odecseq(X0,X3) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14258]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1912,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 5.97/6.15 | ~ class_Orderings_Oord(X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6515_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14232,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 5.97/6.15 | ~ class_Orderings_Oord(X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1912]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14233,plain,
% 5.97/6.15 ( ~ class_Orderings_Oord(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14232]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1907,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6517_1) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14222,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1907]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14223,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14222]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1906,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6517_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14220,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1906]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14221,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14220]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1901,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6519_1) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14210,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1901]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14211,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14210]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1900,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6519_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14208,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1900]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14209,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14208]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1895,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6521_1) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14198,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1895]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14199,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14198]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1894,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6521_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14196,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1894]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14197,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X2),X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14196]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1889,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6523_1) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14186,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1889]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14187,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14186]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1888,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6523_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14184,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1888]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14185,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14184]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1877,plain,
% 5.97/6.15 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 5.97/6.15 | ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.15 | X2 != X3 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6528_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14162,plain,
% 5.97/6.15 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 5.97/6.15 | ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.15 | X2 != X3 ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1877]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14163,plain,
% 5.97/6.15 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.15 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 5.97/6.15 | X2 != X3 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14162]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1864,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6534_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14136,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1864]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14137,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14136]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1861,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6535_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14130,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1861]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14131,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14130]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1858,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6536_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14124,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1858]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14125,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14124]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1855,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6537_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14118,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1855]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14119,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14118]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1851,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.15 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6538_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14110,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.15 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1851]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14111,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.15 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14110]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1848,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 5.97/6.15 | ~ class_Orderings_Opreorder(X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6539_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14104,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 5.97/6.15 | ~ class_Orderings_Opreorder(X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1848]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14105,plain,
% 5.97/6.15 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14104]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1847,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 5.97/6.15 | ~ class_Orderings_Opreorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6539_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14102,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 5.97/6.15 | ~ class_Orderings_Opreorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1847]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14103,plain,
% 5.97/6.15 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14102]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1831,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.15 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6547_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14070,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.15 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1831]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14071,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.97/6.15 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14070]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1827,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.15 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6548_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14062,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.15 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1827]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14063,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.15 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14062]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1818,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6551_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14044,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1818]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14045,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14044]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1808,plain,
% 5.97/6.15 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.97/6.15 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6555_1) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14024,plain,
% 5.97/6.15 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.97/6.15 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1808]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14025,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.97/6.15 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14024]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1806,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.15 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6555_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14020,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.15 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1806]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14021,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.97/6.15 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.97/6.15 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14020]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1803,plain,
% 5.97/6.15 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 5.97/6.15 | ~ class_Rings_Oidom(X0)
% 5.97/6.15 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6556_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14014,plain,
% 5.97/6.15 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 5.97/6.15 | ~ class_Rings_Oidom(X0)
% 5.97/6.15 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1803]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14015,plain,
% 5.97/6.15 ( ~ class_Rings_Oidom(X0)
% 5.97/6.15 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 5.97/6.15 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14014]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1798,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6559_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14004,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1798]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_14005,plain,
% 5.97/6.15 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_14004]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1795,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6560_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13998,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1795]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13999,plain,
% 5.97/6.15 ( ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13998]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1792,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6561_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13992,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1792]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13993,plain,
% 5.97/6.15 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13992]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1789,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6562_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13986,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1789]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13987,plain,
% 5.97/6.15 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13986]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1786,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.97/6.15 | X1 = X0
% 5.97/6.15 | hBOOL(hAPP(hAPP(X2,X0),X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6566_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13980,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.97/6.15 | X1 = X0
% 5.97/6.15 | hBOOL(hAPP(hAPP(X2,X0),X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1786]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13981,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.97/6.15 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 5.97/6.15 | X1 = X0 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13980]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1785,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | X0 = X1
% 5.97/6.15 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6566_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13978,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | X0 = X1
% 5.97/6.15 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1785]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13979,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.97/6.15 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 5.97/6.15 | X0 = X1 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13978]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1778,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6569_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13964,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1778]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13965,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13964]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1775,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6570_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13958,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1775]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13959,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13958]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1772,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6571_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13952,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1772]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13953,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13952]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1769,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6572_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13946,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1769]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13947,plain,
% 5.97/6.15 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13946]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1761,plain,
% 5.97/6.15 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 5.97/6.15 | X0 = X2
% 5.97/6.15 | ~ class_Rings_Oidom(X1)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6575_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13930,plain,
% 5.97/6.15 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 5.97/6.15 | X0 = X2
% 5.97/6.15 | ~ class_Rings_Oidom(X1)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1761]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13931,plain,
% 5.97/6.15 ( ~ class_Rings_Oidom(X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 5.97/6.15 | X1 = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 5.97/6.15 | X1 = X2 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13930]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1758,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk51_2(X1,X0))
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.15 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6576_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13924,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk51_2(X1,X0))
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.15 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1758]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13925,plain,
% 5.97/6.15 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk51_2(X1,X0))
% 5.97/6.15 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13924]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1755,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk40_2(X1,X0))
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.15 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6577_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13918,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk40_2(X1,X0))
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.15 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1755]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13919,plain,
% 5.97/6.15 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk40_2(X1,X0))
% 5.97/6.15 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13918]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1747,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1)
% 5.97/6.15 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6580_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13902,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1)
% 5.97/6.15 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1747]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13903,plain,
% 5.97/6.15 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13902]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1744,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6581_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13896,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1744]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13897,plain,
% 5.97/6.15 ( ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13896]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1741,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1)
% 5.97/6.15 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6582_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13890,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1)
% 5.97/6.15 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1741]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13891,plain,
% 5.97/6.15 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13890]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1738,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6583_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13884,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1))
% 5.97/6.15 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1738]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13885,plain,
% 5.97/6.15 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13884]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1685,plain,
% 5.97/6.15 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6601_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13778,plain,
% 5.97/6.15 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1685]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13779,plain,
% 5.97/6.15 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13778]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1658,plain,
% 5.97/6.15 ( X0 = X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6610_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13724,plain,
% 5.97/6.15 ( X0 = X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1658]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13725,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0))
% 5.97/6.15 | X1 = X0 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13724]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1650,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.97/6.15 | ~ class_Rings_Oidom(X1)
% 5.97/6.15 | c_Polynomial_Oorder(X1,X2,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.15 | hAPP(c_Polynomial_Opoly(X1,X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6613_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13708,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.97/6.15 | ~ class_Rings_Oidom(X1)
% 5.97/6.15 | c_Polynomial_Oorder(X1,X2,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.15 | hAPP(c_Polynomial_Opoly(X1,X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1650]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13709,plain,
% 5.97/6.15 ( ~ class_Rings_Oidom(X0)
% 5.97/6.15 | hAPP(c_Polynomial_Opoly(X0,X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | c_Polynomial_Oorder(X0,X2,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.15 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13708]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1643,plain,
% 5.97/6.15 ( X0 = X1
% 5.97/6.15 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.15 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6616_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13694,plain,
% 5.97/6.15 ( X0 = X1
% 5.97/6.15 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.15 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1643]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13695,plain,
% 5.97/6.15 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.15 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.15 | X1 = X0 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13694]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1636,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk26_2(X1,X0),X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6619_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13680,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk26_2(X1,X0),X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1636]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13681,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk26_2(X0,X1),X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0))
% 5.97/6.15 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13680]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1633,plain,
% 5.97/6.15 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 5.97/6.15 | ~ class_Rings_Oidom(X0)
% 5.97/6.15 | X1 != X2 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6620_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13674,plain,
% 5.97/6.15 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 5.97/6.15 | ~ class_Rings_Oidom(X0)
% 5.97/6.15 | X1 != X2 ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1633]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13675,plain,
% 5.97/6.15 ( ~ class_Rings_Oidom(X0)
% 5.97/6.15 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 5.97/6.15 | X1 != X2 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13674]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1617,plain,
% 5.97/6.15 ( X0 = X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6626_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13642,plain,
% 5.97/6.15 ( X0 = X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1617]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13643,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 5.97/6.15 | X1 = X0 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13642]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1614,plain,
% 5.97/6.15 ( X0 = X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6627_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13636,plain,
% 5.97/6.15 ( X0 = X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1614]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13637,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.15 | X1 = X0 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13636]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1611,plain,
% 5.97/6.15 ( X0 = X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6628_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13630,plain,
% 5.97/6.15 ( X0 = X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1611]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13631,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
% 5.97/6.15 | X1 = X0 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13630]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1604,plain,
% 5.97/6.15 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6631_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13616,plain,
% 5.97/6.15 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1604]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13617,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | X0 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13616]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1601,plain,
% 5.97/6.15 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6632_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13610,plain,
% 5.97/6.15 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1601]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13611,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | X1 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13610]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1582,plain,
% 5.97/6.15 ( epred2_3(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6641_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13572,plain,
% 5.97/6.15 ( epred2_3(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1582]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13573,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.15 | epred2_3(X1,X0,X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13572]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1579,plain,
% 5.97/6.15 ( epred1_3(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6642_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13566,plain,
% 5.97/6.15 ( epred1_3(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1579]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13567,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.15 | epred1_3(X1,X0,X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13566]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1564,plain,
% 5.97/6.15 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk34_2(X1,X0),X1)
% 5.97/6.15 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6651_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13536,plain,
% 5.97/6.15 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk34_2(X1,X0),X1)
% 5.97/6.15 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1564]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13537,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk34_2(X0,X1),X0)
% 5.97/6.15 | hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.15 | ~ hBOOL(hAPP(X1,X0)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13536]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1546,plain,
% 5.97/6.15 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.15 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)
% 5.97/6.15 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6669_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13500,plain,
% 5.97/6.15 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.15 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)
% 5.97/6.15 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1546]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13501,plain,
% 5.97/6.15 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.15 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 5.97/6.15 | X3 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13500]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1542,plain,
% 5.97/6.15 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X3) != X2
% 5.97/6.15 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6670_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13492,plain,
% 5.97/6.15 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X3) != X2
% 5.97/6.15 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1542]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13493,plain,
% 5.97/6.15 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != X3
% 5.97/6.15 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | X1 = c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13492]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1534,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | X2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X0)
% 5.97/6.15 | ~ class_Rings_Odivision__ring(X1)
% 5.97/6.15 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != X3 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6673_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13476,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | X2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X0)
% 5.97/6.15 | ~ class_Rings_Odivision__ring(X1)
% 5.97/6.15 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != X3 ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1534]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13477,plain,
% 5.97/6.15 ( ~ class_Rings_Odivision__ring(X0)
% 5.97/6.15 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != X3
% 5.97/6.15 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | X1 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13476]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1530,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) = X3
% 5.97/6.15 | ~ class_Rings_Odivision__ring(X1)
% 5.97/6.15 | X2 != c_Rings_Oinverse__class_Odivide(X1,X3,X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6674_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13468,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) = X3
% 5.97/6.15 | ~ class_Rings_Odivision__ring(X1)
% 5.97/6.15 | X2 != c_Rings_Oinverse__class_Odivide(X1,X3,X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1530]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13469,plain,
% 5.97/6.15 ( ~ class_Rings_Odivision__ring(X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = X3
% 5.97/6.15 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13468]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1526,plain,
% 5.97/6.15 ( X0 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)
% 5.97/6.15 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.15 | c_Rings_Oinverse__class_Odivide(X1,X0,X3) != X2 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6675_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13460,plain,
% 5.97/6.15 ( X0 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)
% 5.97/6.15 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.15 | c_Rings_Oinverse__class_Odivide(X1,X0,X3) != X2 ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1526]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13461,plain,
% 5.97/6.15 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.15 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != X3
% 5.97/6.15 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | X1 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13460]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1522,plain,
% 5.97/6.15 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = X3
% 5.97/6.15 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.15 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6676_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13452,plain,
% 5.97/6.15 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = X3
% 5.97/6.15 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.15 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1522]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13453,plain,
% 5.97/6.15 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = X3
% 5.97/6.15 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13452]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1492,plain,
% 5.97/6.15 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 5.97/6.15 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.15 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6685_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13392,plain,
% 5.97/6.15 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 5.97/6.15 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.15 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1492]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13393,plain,
% 5.97/6.15 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.15 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 5.97/6.15 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13392]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1488,plain,
% 5.97/6.15 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 5.97/6.15 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X3) != X2 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6686_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13384,plain,
% 5.97/6.15 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 5.97/6.15 | X3 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X3) != X2 ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1488]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13385,plain,
% 5.97/6.15 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != X3
% 5.97/6.15 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | X1 = c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13384]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1484,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | X3 != X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.15 | ~ class_Orderings_Oorder(X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6687_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13376,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | X3 != X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.15 | ~ class_Orderings_Oorder(X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1484]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13377,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.15 | X3 != X1 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13376]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1480,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | X3 != X2
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.15 | ~ class_Orderings_Oord(X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6688_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13368,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | X3 != X2
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.15 | ~ class_Orderings_Oord(X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1480]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13369,plain,
% 5.97/6.15 ( ~ class_Orderings_Oord(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.15 | X3 != X2 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13368]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1479,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | X1 != X2
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6689_0) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13366,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | X1 != X2
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1479]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13367,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.15 | X3 != X2 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13366]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1475,plain,
% 5.97/6.15 ( ~ class_Orderings_Oord(X0)
% 5.97/6.15 | X1 != X2
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6690_0) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13358,plain,
% 5.97/6.15 ( ~ class_Orderings_Oord(X0)
% 5.97/6.15 | X1 != X2
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1475]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13359,plain,
% 5.97/6.15 ( ~ class_Orderings_Oord(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.15 | X3 != X1 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13358]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1470,plain,
% 5.97/6.15 ( X0 != X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X2,X1,X0)
% 5.97/6.15 | ~ class_Orderings_Olinorder(X2) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6691_1) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13348,plain,
% 5.97/6.15 ( X0 != X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X2,X1,X0)
% 5.97/6.15 | ~ class_Orderings_Olinorder(X2) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1470]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13349,plain,
% 5.97/6.15 ( ~ class_Orderings_Olinorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.97/6.15 | X1 != X2 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13348]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1468,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | ~ class_Orderings_Olinorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.97/6.15 | X2 != X1 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6691_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13344,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | ~ class_Orderings_Olinorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.97/6.15 | X2 != X1 ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1468]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13345,plain,
% 5.97/6.15 ( ~ class_Orderings_Olinorder(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.97/6.15 | X2 != X1 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13344]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1464,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | X3 != X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.15 | ~ class_Orderings_Oorder(X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6692_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13336,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | X3 != X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.15 | ~ class_Orderings_Oorder(X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1464]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13337,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.15 | X3 != X1 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13336]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1460,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | X3 != X2
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.15 | ~ class_Orderings_Oord(X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6693_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13328,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | X3 != X2
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.15 | ~ class_Orderings_Oord(X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1460]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13329,plain,
% 5.97/6.15 ( ~ class_Orderings_Oord(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.15 | X3 != X2 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13328]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1459,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | X1 != X2
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6694_0) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13326,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | X1 != X2
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1459]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13327,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.15 | X3 != X2 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13326]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1455,plain,
% 5.97/6.15 ( ~ class_Orderings_Oord(X0)
% 5.97/6.15 | X1 != X2
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6695_0) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13318,plain,
% 5.97/6.15 ( ~ class_Orderings_Oord(X0)
% 5.97/6.15 | X1 != X2
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1455]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13319,plain,
% 5.97/6.15 ( ~ class_Orderings_Oord(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.15 | X3 != X1 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13318]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1450,plain,
% 5.97/6.15 ( X0 != X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
% 5.97/6.15 | ~ class_Orderings_Oorder(X2) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6696_1) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13308,plain,
% 5.97/6.15 ( X0 != X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
% 5.97/6.15 | ~ class_Orderings_Oorder(X2) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1450]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13309,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 5.97/6.15 | X2 != X1 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13308]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1448,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 5.97/6.15 | X1 != X2 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6696_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13304,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 5.97/6.15 | X1 != X2 ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1448]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13305,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 5.97/6.15 | X1 != X2 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13304]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1398,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | X1 = X2
% 5.97/6.15 | ~ class_Orderings_Olinorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6713_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13204,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | X1 = X2
% 5.97/6.15 | ~ class_Orderings_Olinorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1398]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13205,plain,
% 5.97/6.15 ( ~ class_Orderings_Olinorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | X1 = X2 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13204]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1383,plain,
% 5.97/6.15 ( X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.15 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6718_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13174,plain,
% 5.97/6.15 ( X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.15 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1383]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13175,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13174]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1382,plain,
% 5.97/6.15 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.15 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6718_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13172,plain,
% 5.97/6.15 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.15 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1382]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13173,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.97/6.15 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13172]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1357,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.97/6.15 | c_Nat_OSuc(X0) = X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6728_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13122,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.97/6.15 | c_Nat_OSuc(X0) = X1
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1357]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13123,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Nat_OSuc(X0) = X1 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13122]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1345,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6732_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13098,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1345]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13099,plain,
% 5.97/6.15 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13098]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1342,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.15 | X0 != X1 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6733_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13092,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.15 | X0 != X1 ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1342]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13093,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0))
% 5.97/6.15 | X1 != X0 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13092]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1321,plain,
% 5.97/6.15 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.15 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6743_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13050,plain,
% 5.97/6.15 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.15 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1321]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13051,plain,
% 5.97/6.15 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 5.97/6.15 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13050]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1318,plain,
% 5.97/6.15 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.15 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6745_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13044,plain,
% 5.97/6.15 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.15 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1318]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_13045,plain,
% 5.97/6.15 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 5.97/6.15 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.15 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_13044]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1295,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6757_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12998,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1295]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12999,plain,
% 5.97/6.15 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.15 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.15 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12998]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1234,plain,
% 5.97/6.15 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 5.97/6.15 | ~ class_Rings_Oidom(X0)
% 5.97/6.15 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6784_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12876,plain,
% 5.97/6.15 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 5.97/6.15 | ~ class_Rings_Oidom(X0)
% 5.97/6.15 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1234]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12877,plain,
% 5.97/6.15 ( ~ class_Rings_Oidom(X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 5.97/6.15 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12876]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1207,plain,
% 5.97/6.15 ( ~ class_Rings_Ozero__neq__one(X0)
% 5.97/6.15 | ~ class_Rings_Ono__zero__divisors(X0)
% 5.97/6.15 | ~ class_Rings_Omult__zero(X0)
% 5.97/6.15 | ~ class_Power_Opower(X0)
% 5.97/6.15 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6795_5) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12822,plain,
% 5.97/6.15 ( ~ class_Rings_Ozero__neq__one(X0)
% 5.97/6.15 | ~ class_Rings_Ono__zero__divisors(X0)
% 5.97/6.15 | ~ class_Rings_Omult__zero(X0)
% 5.97/6.15 | ~ class_Power_Opower(X0)
% 5.97/6.15 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1207]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12823,plain,
% 5.97/6.15 ( ~ class_Rings_Ono__zero__divisors(X0)
% 5.97/6.15 | ~ class_Rings_Ozero__neq__one(X0)
% 5.97/6.15 | ~ class_Rings_Omult__zero(X0)
% 5.97/6.15 | ~ class_Power_Opower(X0)
% 5.97/6.15 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12822]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1201,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | ~ class_Rings_Ozero__neq__one(X1)
% 5.97/6.15 | ~ class_Rings_Ono__zero__divisors(X1)
% 5.97/6.15 | ~ class_Rings_Omult__zero(X1)
% 5.97/6.15 | ~ class_Power_Opower(X1)
% 5.97/6.15 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6796_5) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12810,plain,
% 5.97/6.15 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | ~ class_Rings_Ozero__neq__one(X1)
% 5.97/6.15 | ~ class_Rings_Ono__zero__divisors(X1)
% 5.97/6.15 | ~ class_Rings_Omult__zero(X1)
% 5.97/6.15 | ~ class_Power_Opower(X1)
% 5.97/6.15 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1201]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12811,plain,
% 5.97/6.15 ( ~ class_Rings_Ono__zero__divisors(X0)
% 5.97/6.15 | ~ class_Rings_Ozero__neq__one(X0)
% 5.97/6.15 | ~ class_Rings_Omult__zero(X0)
% 5.97/6.15 | ~ class_Power_Opower(X0)
% 5.97/6.15 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12810]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1197,plain,
% 5.97/6.15 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))
% 5.97/6.15 | X0 = c_Groups_Oone__class_Oone(X1)
% 5.97/6.15 | ~ class_Rings_Oring__1__no__zero__divisors(X1)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != c_Groups_Oone__class_Oone(X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6797_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12802,plain,
% 5.97/6.15 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))
% 5.97/6.15 | X0 = c_Groups_Oone__class_Oone(X1)
% 5.97/6.15 | ~ class_Rings_Oring__1__no__zero__divisors(X1)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != c_Groups_Oone__class_Oone(X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1197]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12803,plain,
% 5.97/6.15 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) != c_Groups_Oone__class_Oone(X0)
% 5.97/6.15 | X1 = c_Groups_Oone__class_Oone(X0)
% 5.97/6.15 | X1 = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0)) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12802]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1193,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ class_Orderings_Olinorder(X0)
% 5.97/6.15 | X1 != X2 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6798_3) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12794,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | ~ class_Orderings_Olinorder(X0)
% 5.97/6.15 | X1 != X2 ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1193]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12795,plain,
% 5.97/6.15 ( ~ class_Orderings_Olinorder(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | X1 != X2 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12794]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1188,plain,
% 5.97/6.15 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 5.97/6.15 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 5.97/6.15 | X1 != X3 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6801_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12784,plain,
% 5.97/6.15 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 5.97/6.15 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 5.97/6.15 | X1 != X3 ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1188]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12785,plain,
% 5.97/6.15 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 5.97/6.15 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 5.97/6.15 | X1 != X3 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12784]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1185,plain,
% 5.97/6.15 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 5.97/6.15 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 5.97/6.15 | X2 != X3 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6802_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12778,plain,
% 5.97/6.15 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 5.97/6.15 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 5.97/6.15 | X2 != X3 ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1185]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12779,plain,
% 5.97/6.15 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 5.97/6.15 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 5.97/6.15 | X2 != X3 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12778]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1160,plain,
% 5.97/6.15 ( ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.15 | X1 = X2
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6809_0) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12728,plain,
% 5.97/6.15 ( ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.15 | X1 = X2
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1160]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12729,plain,
% 5.97/6.15 ( ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.97/6.15 | X1 = X2 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12728]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1133,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.97/6.15 | X0 != X1 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6818_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12674,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.97/6.15 | X0 != X1 ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1133]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12675,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | X0 != X1 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12674]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1128,plain,
% 5.97/6.15 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 5.97/6.15 | ~ class_Rings_Oidom(X0)
% 5.97/6.15 | X1 != X2 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6820_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12664,plain,
% 5.97/6.15 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 5.97/6.15 | ~ class_Rings_Oidom(X0)
% 5.97/6.15 | X1 != X2 ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1128]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12665,plain,
% 5.97/6.15 ( ~ class_Rings_Oidom(X0)
% 5.97/6.15 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 5.97/6.15 | X1 != X2 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12664]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1122,plain,
% 5.97/6.15 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 5.97/6.15 | ~ class_Groups_Ogroup__add(X1)
% 5.97/6.15 | c_Groups_Oplus__class_Oplus(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6822_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12652,plain,
% 5.97/6.15 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 5.97/6.15 | ~ class_Groups_Ogroup__add(X1)
% 5.97/6.15 | c_Groups_Oplus__class_Oplus(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1122]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12653,plain,
% 5.97/6.15 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.15 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | X1 = c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12652]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1119,plain,
% 5.97/6.15 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 5.97/6.15 | ~ class_Groups_Ogroup__add(X1)
% 5.97/6.15 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6823_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12646,plain,
% 5.97/6.15 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 5.97/6.15 | ~ class_Groups_Ogroup__add(X1)
% 5.97/6.15 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1119]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12647,plain,
% 5.97/6.15 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.15 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.15 | X2 = c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12646]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1106,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk51_2(X0,X1))
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.97/6.15 | ~ c_SEQ_OBseq(X1,X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6829_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12620,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk51_2(X0,X1))
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.97/6.15 | ~ c_SEQ_OBseq(X1,X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1106]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12621,plain,
% 5.97/6.15 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk51_2(X1,X0))
% 5.97/6.15 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12620]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1103,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk47_2(X0,X1))
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.97/6.15 | ~ c_SEQ_OBseq(X1,X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6830_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12614,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk47_2(X0,X1))
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.97/6.15 | ~ c_SEQ_OBseq(X1,X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1103]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12615,plain,
% 5.97/6.15 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk47_2(X1,X0))
% 5.97/6.15 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12614]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1100,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk44_2(X0,X1))
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.97/6.15 | ~ c_SEQ_OBseq(X1,X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6831_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12608,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk44_2(X0,X1))
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.97/6.15 | ~ c_SEQ_OBseq(X1,X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1100]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12609,plain,
% 5.97/6.15 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk44_2(X1,X0))
% 5.97/6.15 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12608]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1097,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk40_2(X0,X1))
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.97/6.15 | ~ c_SEQ_OBseq(X1,X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6832_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12602,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk40_2(X0,X1))
% 5.97/6.15 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.97/6.15 | ~ c_SEQ_OBseq(X1,X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1097]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12603,plain,
% 5.97/6.15 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk40_2(X1,X0))
% 5.97/6.15 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12602]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1091,plain,
% 5.97/6.15 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.15 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.15 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6835_0) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12590,plain,
% 5.97/6.15 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.15 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.15 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1091]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12591,plain,
% 5.97/6.15 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.15 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.15 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12590]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1089,plain,
% 5.97/6.15 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.15 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.15 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6835_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12586,plain,
% 5.97/6.15 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.15 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.15 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1089]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12587,plain,
% 5.97/6.15 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.15 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.15 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12586]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1082,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.15 | X1 = X0
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6838_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12572,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.15 | X1 = X0
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1082]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12573,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.97/6.15 | X1 = X0 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12572]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1078,plain,
% 5.97/6.15 ( X0 = X1
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6840_0) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12564,plain,
% 5.97/6.15 ( X0 = X1
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.97/6.15 inference(copy,[status(esa)],[c_1078]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12565,plain,
% 5.97/6.15 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.97/6.15 | X0 = X1 ),
% 5.97/6.15 inference(rewriting,[status(thm)],[c_12564]) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_1070,plain,
% 5.97/6.15 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.15 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) != X2 ),
% 5.97/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6842_2) ).
% 5.97/6.15
% 5.97/6.15 cnf(c_12548,plain,
% 5.97/6.15 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.15 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X1,X3,X0) != X2 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1070]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12549,plain,
% 5.97/6.16 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != X3
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12548]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1069,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X1,X2,X3) != X0
% 5.97/6.16 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6842_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12546,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X1,X2,X3) != X0
% 5.97/6.16 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1069]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12547,plain,
% 5.97/6.16 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != X3
% 5.97/6.16 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12546]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1066,plain,
% 5.97/6.16 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.16 | X2 != c_Rings_Oinverse__class_Odivide(X1,X3,X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6843_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12540,plain,
% 5.97/6.16 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.16 | X2 != c_Rings_Oinverse__class_Odivide(X1,X3,X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1066]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12541,plain,
% 5.97/6.16 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 != c_Rings_Oinverse__class_Odivide(X0,X3,X1) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12540]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1065,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.16 | X0 != c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 5.97/6.16 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6843_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12538,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.16 | X0 != c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 5.97/6.16 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1065]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12539,plain,
% 5.97/6.16 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12538]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1061,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | X2 = X0
% 5.97/6.16 | ~ class_Rings_Odivision__ring(X1)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != c_Groups_Oone__class_Oone(X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6844_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12530,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | X2 = X0
% 5.97/6.16 | ~ class_Rings_Odivision__ring(X1)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != c_Groups_Oone__class_Oone(X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1061]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12531,plain,
% 5.97/6.16 ( ~ class_Rings_Odivision__ring(X0)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != c_Groups_Oone__class_Oone(X0)
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 = X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12530]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1052,plain,
% 5.97/6.16 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6847_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12512,plain,
% 5.97/6.16 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1052]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12513,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12512]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1049,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6848_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12506,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1049]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12507,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12506]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1047,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6849_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12502,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1047]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12503,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.97/6.16 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12502]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1040,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6853_0) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12488,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1040]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12489,plain,
% 5.97/6.16 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12488]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1037,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Rings_Oring__no__zero__divisors(X1)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6853_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12482,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Rings_Oring__no__zero__divisors(X1)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1037]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12483,plain,
% 5.97/6.16 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12482]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1023,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X1,X0,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6859_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12454,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X1,X0,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1023]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12455,plain,
% 5.97/6.16 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X0,X1,X1) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12454]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1019,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6861_0) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12446,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1019]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12447,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12446]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1017,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6861_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12442,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1017]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12443,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12442]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1014,plain,
% 5.97/6.16 ( X0 = X1
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X2)
% 5.97/6.16 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6862_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12436,plain,
% 5.97/6.16 ( X0 = X1
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X2)
% 5.97/6.16 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1014]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12437,plain,
% 5.97/6.16 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 = X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12436]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1011,plain,
% 5.97/6.16 ( X0 = X1
% 5.97/6.16 | ~ class_Groups_Oab__group__add(X2)
% 5.97/6.16 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6863_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12430,plain,
% 5.97/6.16 ( X0 = X1
% 5.97/6.16 | ~ class_Groups_Oab__group__add(X2)
% 5.97/6.16 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1011]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12431,plain,
% 5.97/6.16 ( ~ class_Groups_Oab__group__add(X0)
% 5.97/6.16 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 = X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12430]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_1001,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != X2 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6867_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12410,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != X2 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_1001]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12411,plain,
% 5.97/6.16 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != X1
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12410]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_998,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6868_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12404,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_998]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12405,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.16 | X0 != X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12404]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_995,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6869_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12398,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_995]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12399,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 5.97/6.16 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12398]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_991,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.97/6.16 | ~ class_Rings_Oidom(X1)
% 5.97/6.16 | ~ class_Int_Oring__char__0(X1)
% 5.97/6.16 | c_Polynomial_Opoly(X1,X0) != c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6870_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12390,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.97/6.16 | ~ class_Rings_Oidom(X1)
% 5.97/6.16 | ~ class_Int_Oring__char__0(X1)
% 5.97/6.16 | c_Polynomial_Opoly(X1,X0) != c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_991]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12391,plain,
% 5.97/6.16 ( ~ class_Int_Oring__char__0(X0)
% 5.97/6.16 | ~ class_Rings_Oidom(X0)
% 5.97/6.16 | c_Polynomial_Opoly(X0,X1) != c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12390]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_982,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.16 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6874_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12372,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.16 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_982]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12373,plain,
% 5.97/6.16 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12372]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_975,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | ~ class_Rings_Ozero__neq__one(X0)
% 5.97/6.16 | ~ class_Rings_Ono__zero__divisors(X0)
% 5.97/6.16 | ~ class_Rings_Omult__zero(X0)
% 5.97/6.16 | ~ class_Power_Opower(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6876_6) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12358,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | ~ class_Rings_Ozero__neq__one(X0)
% 5.97/6.16 | ~ class_Rings_Ono__zero__divisors(X0)
% 5.97/6.16 | ~ class_Rings_Omult__zero(X0)
% 5.97/6.16 | ~ class_Power_Opower(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_975]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12359,plain,
% 5.97/6.16 ( ~ class_Rings_Ono__zero__divisors(X0)
% 5.97/6.16 | ~ class_Rings_Ozero__neq__one(X0)
% 5.97/6.16 | ~ class_Rings_Omult__zero(X0)
% 5.97/6.16 | ~ class_Power_Opower(X0)
% 5.97/6.16 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12358]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_972,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 5.97/6.16 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 5.97/6.16 | X1 != c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0)) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6877_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12352,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 5.97/6.16 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 5.97/6.16 | X1 != c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0)) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_972]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12353,plain,
% 5.97/6.16 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 5.97/6.16 | X1 != c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12352]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_951,plain,
% 5.97/6.16 ( ~ class_Orderings_Olinorder(X0)
% 5.97/6.16 | X1 != X2
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6884_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12310,plain,
% 5.97/6.16 ( ~ class_Orderings_Olinorder(X0)
% 5.97/6.16 | X1 != X2
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_951]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12311,plain,
% 5.97/6.16 ( ~ class_Orderings_Olinorder(X0)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.16 | X2 != X1 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12310]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_948,plain,
% 5.97/6.16 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6885_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12304,plain,
% 5.97/6.16 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_948]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12305,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12304]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_910,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6908_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12228,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_910]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12229,plain,
% 5.97/6.16 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12228]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_907,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | X2 != c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6909_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12222,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | X2 != c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_907]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12223,plain,
% 5.97/6.16 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 != c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12222]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_890,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),c_Nat_OSuc(X1)) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Rings_Osemiring__0(X0)
% 5.97/6.16 | ~ class_Power_Opower(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6917_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12188,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),c_Nat_OSuc(X1)) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Rings_Osemiring__0(X0)
% 5.97/6.16 | ~ class_Power_Opower(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_890]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12189,plain,
% 5.97/6.16 ( ~ class_Rings_Osemiring__0(X0)
% 5.97/6.16 | ~ class_Power_Opower(X0)
% 5.97/6.16 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),c_Nat_OSuc(X1)) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12188]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_886,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 5.97/6.16 | ~ class_Rings_Osemiring__0(X0)
% 5.97/6.16 | ~ class_Power_Opower(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6918_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12180,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 5.97/6.16 | ~ class_Rings_Osemiring__0(X0)
% 5.97/6.16 | ~ class_Power_Opower(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_886]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12181,plain,
% 5.97/6.16 ( ~ class_Rings_Osemiring__0(X0)
% 5.97/6.16 | ~ class_Power_Opower(X0)
% 5.97/6.16 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12180]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_858,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | ~ class_Rings_Osemiring__0(X0)
% 5.97/6.16 | ~ class_Power_Opower(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6937_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12124,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | ~ class_Rings_Osemiring__0(X0)
% 5.97/6.16 | ~ class_Power_Opower(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_858]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12125,plain,
% 5.97/6.16 ( ~ class_Rings_Osemiring__0(X0)
% 5.97/6.16 | ~ class_Power_Opower(X0)
% 5.97/6.16 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12124]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_834,plain,
% 5.97/6.16 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X1,X2,X3) = X0
% 5.97/6.16 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.16 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6952_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12076,plain,
% 5.97/6.16 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X1,X2,X3) = X0
% 5.97/6.16 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.16 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_834]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12077,plain,
% 5.97/6.16 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 5.97/6.16 | X3 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12076]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_833,plain,
% 5.97/6.16 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 5.97/6.16 | ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6952_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12074,plain,
% 5.97/6.16 ( c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 5.97/6.16 | ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_833]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12075,plain,
% 5.97/6.16 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X3 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12074]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_830,plain,
% 5.97/6.16 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 5.97/6.16 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.16 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6953_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12068,plain,
% 5.97/6.16 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 5.97/6.16 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.16 | X3 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_830]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12069,plain,
% 5.97/6.16 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 = c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12068]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_829,plain,
% 5.97/6.16 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 5.97/6.16 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.16 | X3 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6953_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12066,plain,
% 5.97/6.16 ( X0 = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
% 5.97/6.16 | ~ class_Fields_Ofield__inverse__zero(X1)
% 5.97/6.16 | X3 != c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | X0 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_829]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12067,plain,
% 5.97/6.16 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 = c_Rings_Oinverse__class_Odivide(X0,X3,X1) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12066]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_820,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6956_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12048,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_820]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12049,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12048]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_817,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6957_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12042,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_817]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12043,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12042]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_813,plain,
% 5.97/6.16 ( c_Polynomial_Opoly(X0,X1) = c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 5.97/6.16 | ~ class_Rings_Oidom(X0)
% 5.97/6.16 | ~ class_Int_Oring__char__0(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6959_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12034,plain,
% 5.97/6.16 ( c_Polynomial_Opoly(X0,X1) = c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 5.97/6.16 | ~ class_Rings_Oidom(X0)
% 5.97/6.16 | ~ class_Int_Oring__char__0(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_813]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_12035,plain,
% 5.97/6.16 ( ~ class_Int_Oring__char__0(X0)
% 5.97/6.16 | ~ class_Rings_Oidom(X0)
% 5.97/6.16 | c_Polynomial_Opoly(X0,X1) = c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_12034]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_787,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) = c_Groups_Oone__class_Oone(X1)
% 5.97/6.16 | ~ class_Rings_Odivision__ring(X1)
% 5.97/6.16 | X2 != X0 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6971_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11982,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) = c_Groups_Oone__class_Oone(X1)
% 5.97/6.16 | ~ class_Rings_Odivision__ring(X1)
% 5.97/6.16 | X2 != X0 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_787]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11983,plain,
% 5.97/6.16 ( ~ class_Rings_Odivision__ring(X0)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = c_Groups_Oone__class_Oone(X0)
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11982]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_781,plain,
% 5.97/6.16 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6973_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11970,plain,
% 5.97/6.16 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_781]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11971,plain,
% 5.97/6.16 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11970]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_774,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6976_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11956,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_774]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11957,plain,
% 5.97/6.16 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11956]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_765,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 5.97/6.16 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 5.97/6.16 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6980_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11938,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 5.97/6.16 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 5.97/6.16 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_765]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11939,plain,
% 5.97/6.16 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 5.97/6.16 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11938]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_758,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6983_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11924,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_758]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11925,plain,
% 5.97/6.16 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11924]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_755,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6984_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11918,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_755]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11919,plain,
% 5.97/6.16 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11918]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_743,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.16 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6991_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11894,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.16 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_743]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11895,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.97/6.16 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11894]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_737,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 5.97/6.16 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6993_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11882,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 5.97/6.16 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_737]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11883,plain,
% 5.97/6.16 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 5.97/6.16 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11882]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_716,plain,
% 5.97/6.16 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7002_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11840,plain,
% 5.97/6.16 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_716]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11841,plain,
% 5.97/6.16 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11840]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_713,plain,
% 5.97/6.16 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Groups_Oab__group__add(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7003_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11834,plain,
% 5.97/6.16 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Groups_Oab__group__add(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_713]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11835,plain,
% 5.97/6.16 ( ~ class_Groups_Oab__group__add(X0)
% 5.97/6.16 | c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11834]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_710,plain,
% 5.97/6.16 ( hAPP(c_Polynomial_Opoly(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Rings_Oidom(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7004_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11828,plain,
% 5.97/6.16 ( hAPP(c_Polynomial_Opoly(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Rings_Oidom(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_710]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11829,plain,
% 5.97/6.16 ( ~ class_Rings_Oidom(X0)
% 5.97/6.16 | hAPP(c_Polynomial_Opoly(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11828]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_686,plain,
% 5.97/6.16 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7017_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11780,plain,
% 5.97/6.16 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_686]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11781,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11780]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_673,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7023_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11754,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_673]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11755,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11754]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_660,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.16 | ~ class_Orderings_Oorder(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7029_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11728,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.16 | ~ class_Orderings_Oorder(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_660]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11729,plain,
% 5.97/6.16 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.16 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11728]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_657,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.16 | ~ class_Orderings_Oorder(X0)
% 5.97/6.16 | X2 != X1 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7030_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11722,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.16 | ~ class_Orderings_Oorder(X0)
% 5.97/6.16 | X2 != X1 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_657]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11723,plain,
% 5.97/6.16 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.16 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.16 | X2 != X1 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11722]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_635,plain,
% 5.97/6.16 ( X0 = X1
% 5.97/6.16 | ~ class_Rings_Oidom(X2)
% 5.97/6.16 | ~ class_Int_Oring__char__0(X2)
% 5.97/6.16 | c_Polynomial_Opoly(X2,X0) != c_Polynomial_Opoly(X2,X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7044_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11678,plain,
% 5.97/6.16 ( X0 = X1
% 5.97/6.16 | ~ class_Rings_Oidom(X2)
% 5.97/6.16 | ~ class_Int_Oring__char__0(X2)
% 5.97/6.16 | c_Polynomial_Opoly(X2,X0) != c_Polynomial_Opoly(X2,X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_635]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11679,plain,
% 5.97/6.16 ( ~ class_Int_Oring__char__0(X0)
% 5.97/6.16 | ~ class_Rings_Oidom(X0)
% 5.97/6.16 | c_Polynomial_Opoly(X0,X1) != c_Polynomial_Opoly(X0,X2)
% 5.97/6.16 | X1 = X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11678]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_630,plain,
% 5.97/6.16 ( X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7046_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11668,plain,
% 5.97/6.16 ( X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_630]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11669,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11668]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_617,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7058_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11642,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_617]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11643,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11642]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_600,plain,
% 5.97/6.16 ( X0 = X1
% 5.97/6.16 | ~ class_Lattices_Oboolean__algebra(X2)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X2,X0) != c_Groups_Ouminus__class_Ouminus(X2,X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7082_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11608,plain,
% 5.97/6.16 ( X0 = X1
% 5.97/6.16 | ~ class_Lattices_Oboolean__algebra(X2)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X2,X0) != c_Groups_Ouminus__class_Ouminus(X2,X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_600]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11609,plain,
% 5.97/6.16 ( ~ class_Lattices_Oboolean__algebra(X0)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ouminus__class_Ouminus(X0,X2)
% 5.97/6.16 | X1 = X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11608]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_597,plain,
% 5.97/6.16 ( X0 = X1
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X2)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X2,X0) != c_Groups_Ouminus__class_Ouminus(X2,X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7083_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11602,plain,
% 5.97/6.16 ( X0 = X1
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X2)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X2,X0) != c_Groups_Ouminus__class_Ouminus(X2,X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_597]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11603,plain,
% 5.97/6.16 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ouminus__class_Ouminus(X0,X2)
% 5.97/6.16 | X1 = X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11602]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_588,plain,
% 5.97/6.16 ( c_Groups_Ouminus__class_Ouminus(X0,X1) != X2
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X2) = X1
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7096_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11584,plain,
% 5.97/6.16 ( c_Groups_Ouminus__class_Ouminus(X0,X1) != X2
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X2) = X1
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_588]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11585,plain,
% 5.97/6.16 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X1) != X2
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X2) = X1 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11584]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_587,plain,
% 5.97/6.16 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X2) != X1 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7096_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11582,plain,
% 5.97/6.16 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X2) != X1 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_587]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11583,plain,
% 5.97/6.16 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X2) != X1 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11582]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_582,plain,
% 5.97/6.16 ( X0 != c_Groups_Ouminus__class_Ouminus(X1,X2)
% 5.97/6.16 | X2 = c_Groups_Ouminus__class_Ouminus(X1,X0)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7098_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11572,plain,
% 5.97/6.16 ( X0 != c_Groups_Ouminus__class_Ouminus(X1,X2)
% 5.97/6.16 | X2 = c_Groups_Ouminus__class_Ouminus(X1,X0)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_582]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11573,plain,
% 5.97/6.16 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | X1 != c_Groups_Ouminus__class_Ouminus(X0,X2)
% 5.97/6.16 | X2 = c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11572]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_581,plain,
% 5.97/6.16 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X1)
% 5.97/6.16 | X2 != c_Groups_Ouminus__class_Ouminus(X1,X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7098_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11570,plain,
% 5.97/6.16 ( X0 = c_Groups_Ouminus__class_Ouminus(X1,X2)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X1)
% 5.97/6.16 | X2 != c_Groups_Ouminus__class_Ouminus(X1,X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_581]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11571,plain,
% 5.97/6.16 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | X1 = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 5.97/6.16 | X2 != c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11570]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_577,plain,
% 5.97/6.16 ( c_Polynomial_Opoly(X0,X1) = c_Polynomial_Opoly(X0,X2)
% 5.97/6.16 | ~ class_Rings_Oidom(X0)
% 5.97/6.16 | ~ class_Int_Oring__char__0(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7099_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11562,plain,
% 5.97/6.16 ( c_Polynomial_Opoly(X0,X1) = c_Polynomial_Opoly(X0,X2)
% 5.97/6.16 | ~ class_Rings_Oidom(X0)
% 5.97/6.16 | ~ class_Int_Oring__char__0(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_577]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11563,plain,
% 5.97/6.16 ( ~ class_Int_Oring__char__0(X0)
% 5.97/6.16 | ~ class_Rings_Oidom(X0)
% 5.97/6.16 | c_Polynomial_Opoly(X0,X1) = c_Polynomial_Opoly(X0,X2)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11562]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_574,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.97/6.16 | ~ class_Groups_Ozero(X1)
% 5.97/6.16 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7100_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11556,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.97/6.16 | ~ class_Groups_Ozero(X1)
% 5.97/6.16 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_574]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11557,plain,
% 5.97/6.16 ( ~ class_Groups_Ozero(X0)
% 5.97/6.16 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11556]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_571,plain,
% 5.97/6.16 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | ~ class_Groups_Ozero(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7101_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11550,plain,
% 5.97/6.16 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | ~ class_Groups_Ozero(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_571]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11551,plain,
% 5.97/6.16 ( ~ class_Groups_Ozero(X0)
% 5.97/6.16 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11550]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_566,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X1)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7103_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11540,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X1)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_566]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11541,plain,
% 5.97/6.16 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11540]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_563,plain,
% 5.97/6.16 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7104_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11534,plain,
% 5.97/6.16 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_563]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11535,plain,
% 5.97/6.16 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ozero__class_Ozero(X0) = X1
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11534]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_560,plain,
% 5.97/6.16 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 5.97/6.16 | ~ class_Lattices_Oboolean__algebra(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7105_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11528,plain,
% 5.97/6.16 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 5.97/6.16 | ~ class_Lattices_Oboolean__algebra(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_560]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11529,plain,
% 5.97/6.16 ( ~ class_Lattices_Oboolean__algebra(X0)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11528]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_557,plain,
% 5.97/6.16 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7106_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11522,plain,
% 5.97/6.16 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_557]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11523,plain,
% 5.97/6.16 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ouminus__class_Ouminus(X0,X2)
% 5.97/6.16 | X1 != X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11522]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_554,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.97/6.16 | c_RealVector_Onorm__class_Onorm(X1,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7107_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11516,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.97/6.16 | c_RealVector_Onorm__class_Onorm(X1,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_554]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11517,plain,
% 5.97/6.16 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.16 | c_RealVector_Onorm__class_Onorm(X0,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11516]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_538,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X1,X0) != X0 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7115_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11484,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X1,X0) != X0 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_538]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11485,plain,
% 5.97/6.16 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X1) != X1
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11484]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_535,plain,
% 5.97/6.16 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7116_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11478,plain,
% 5.97/6.16 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_535]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11479,plain,
% 5.97/6.16 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11478]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_532,plain,
% 5.97/6.16 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ozero__class_Ozero(X0) != X1 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7117_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11472,plain,
% 5.97/6.16 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ozero__class_Ozero(X0) != X1 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_532]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11473,plain,
% 5.97/6.16 ( ~ class_Groups_Ogroup__add(X0)
% 5.97/6.16 | c_Groups_Ozero__class_Ozero(X0) != X1
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11472]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_529,plain,
% 5.97/6.16 ( c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.16 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7118_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11466,plain,
% 5.97/6.16 ( c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.16 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_529]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11467,plain,
% 5.97/6.16 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.16 | c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11466]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_521,plain,
% 5.97/6.16 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X1
% 5.97/6.16 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7121_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11450,plain,
% 5.97/6.16 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X1
% 5.97/6.16 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_521]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11451,plain,
% 5.97/6.16 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.97/6.16 | c_Groups_Ouminus__class_Ouminus(X0,X1) = X1
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11450]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_508,plain,
% 5.97/6.16 ( X0 = c_Groups_Oone__class_Oone(X1)
% 5.97/6.16 | ~ class_Groups_Oone(X1)
% 5.97/6.16 | c_Groups_Oone__class_Oone(X1) != X0 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7130_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11424,plain,
% 5.97/6.16 ( X0 = c_Groups_Oone__class_Oone(X1)
% 5.97/6.16 | ~ class_Groups_Oone(X1)
% 5.97/6.16 | c_Groups_Oone__class_Oone(X1) != X0 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_508]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11425,plain,
% 5.97/6.16 ( ~ class_Groups_Oone(X0)
% 5.97/6.16 | c_Groups_Oone__class_Oone(X0) != X1
% 5.97/6.16 | X1 = c_Groups_Oone__class_Oone(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11424]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_505,plain,
% 5.97/6.16 ( c_Groups_Oone__class_Oone(X0) = X1
% 5.97/6.16 | ~ class_Groups_Oone(X0)
% 5.97/6.16 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7131_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11418,plain,
% 5.97/6.16 ( c_Groups_Oone__class_Oone(X0) = X1
% 5.97/6.16 | ~ class_Groups_Oone(X0)
% 5.97/6.16 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_505]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11419,plain,
% 5.97/6.16 ( ~ class_Groups_Oone(X0)
% 5.97/6.16 | c_Groups_Oone__class_Oone(X0) = X1
% 5.97/6.16 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11418]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_502,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Groups_Ozero(X1)
% 5.97/6.16 | c_Groups_Ozero__class_Ozero(X1) != X0 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7132_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11412,plain,
% 5.97/6.16 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.97/6.16 | ~ class_Groups_Ozero(X1)
% 5.97/6.16 | c_Groups_Ozero__class_Ozero(X1) != X0 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_502]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11413,plain,
% 5.97/6.16 ( ~ class_Groups_Ozero(X0)
% 5.97/6.16 | c_Groups_Ozero__class_Ozero(X0) != X1
% 5.97/6.16 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11412]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_499,plain,
% 5.97/6.16 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 5.97/6.16 | ~ class_Groups_Ozero(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7133_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11406,plain,
% 5.97/6.16 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 5.97/6.16 | ~ class_Groups_Ozero(X0)
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_499]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_11407,plain,
% 5.97/6.16 ( ~ class_Groups_Ozero(X0)
% 5.97/6.16 | c_Groups_Ozero__class_Ozero(X0) = X1
% 5.97/6.16 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_11406]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4648,negated_conjecture,
% 5.97/6.16 ( ~ v_thesis____ ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_9) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_5851,negated_conjecture,
% 5.97/6.16 ( ~ v_thesis____ ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4648]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_5855,negated_conjecture,
% 5.97/6.16 ( ~ v_thesis____ ),
% 5.97/6.16 inference(copy,[status(esa)],[c_5851]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_5860,negated_conjecture,
% 5.97/6.16 ( ~ v_thesis____ ),
% 5.97/6.16 inference(copy,[status(esa)],[c_5855]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_5861,negated_conjecture,
% 5.97/6.16 ( ~ v_thesis____ ),
% 5.97/6.16 inference(copy,[status(esa)],[c_5860]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19702,negated_conjecture,
% 5.97/6.16 ( ~ v_thesis____ ),
% 5.97/6.16 inference(copy,[status(esa)],[c_5861]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4631,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ominus__class_Ominus(X0,X3,X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),c_Groups_Ominus__class_Ominus(X0,X3,X4))) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.97/6.16 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5615_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19670,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ominus__class_Ominus(X0,X3,X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),c_Groups_Ominus__class_Ominus(X0,X3,X4))) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.97/6.16 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4631]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19671,plain,
% 5.97/6.16 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ominus__class_Ominus(X0,X3,X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),c_Groups_Ominus__class_Ominus(X0,X3,X4))) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19670]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4608,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2),c_Divides_Odiv__class_Omod(X0,X1,X2)),X3) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 5.97/6.16 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5624_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19624,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2),c_Divides_Odiv__class_Omod(X0,X1,X2)),X3) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 5.97/6.16 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4608]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19625,plain,
% 5.97/6.16 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2),c_Divides_Odiv__class_Omod(X0,X1,X2)),X3) = c_Groups_Oplus__class_Oplus(X0,X1,X3) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19624]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4592,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk64_1(X0)))
% 5.97/6.16 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5628_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19592,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk64_1(X0)))
% 5.97/6.16 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4592]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19593,plain,
% 5.97/6.16 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.97/6.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk64_1(X0))) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19592]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4590,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk60_1(X0)))
% 5.97/6.16 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5629_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19588,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk60_1(X0)))
% 5.97/6.16 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4590]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19589,plain,
% 5.97/6.16 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.97/6.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk60_1(X0))) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19588]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4587,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)))),X0)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5630_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19582,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)))),X0)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4587]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19583,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)))),X1)
% 5.97/6.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X1) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19582]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4577,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X4)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X3),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0),X4)) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5632_4) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19562,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X4)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X3),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0),X4)) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4577]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19563,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X4))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.16 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X1)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X4) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19562]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4575,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X2,X1),X3)),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X1)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X3))
% 5.97/6.16 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5633_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19558,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X2,X1),X3)),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X1)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X3))
% 5.97/6.16 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4575]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19559,plain,
% 5.97/6.16 ( ~ class_Fields_Ofield(X0)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X2,X1),X3)),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,X1)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X3)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19558]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4572,plain,
% 5.97/6.16 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk72_3(X1,X0,X2)),sk1_esk73_3(X1,X0,X2)) = X1
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5634_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19552,plain,
% 5.97/6.16 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk72_3(X1,X0,X2)),sk1_esk73_3(X1,X0,X2)) = X1
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4572]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19553,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.16 | hBOOL(hAPP(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X0)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X0)))
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk72_3(X2,X1,X0)),sk1_esk73_3(X2,X1,X0)) = X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19552]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4569,plain,
% 5.97/6.16 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk70_3(X1,X0,X2)),sk1_esk71_3(X1,X0,X2)) = X1
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5635_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19546,plain,
% 5.97/6.16 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk70_3(X1,X0,X2)),sk1_esk71_3(X1,X0,X2)) = X1
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4569]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19547,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.16 | hBOOL(hAPP(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X0)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X0)))
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk70_3(X2,X1,X0)),sk1_esk71_3(X2,X1,X0)) = X2 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19546]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4550,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ominus__class_Ominus(X0,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X4)),X3)) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X3))
% 5.97/6.16 | ~ class_Rings_Oring(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5643_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19508,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ominus__class_Ominus(X0,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X4)),X3)) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X3))
% 5.97/6.16 | ~ class_Rings_Oring(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4550]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19509,plain,
% 5.97/6.16 ( ~ class_Rings_Oring(X0)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ominus__class_Ominus(X0,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X4)),X3)) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X3)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19508]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4548,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5644_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19504,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4548]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19505,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19504]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4538,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0),X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5647_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19484,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0),X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4538]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19485,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1),X0)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19484]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4524,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)),c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5652_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19456,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)),c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4524]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19457,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X0)),c_RealDef_Oreal(tc_Nat_Onat,X0))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X0)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19456]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4522,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Omod(X0,X2,X1)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,X3)
% 5.97/6.16 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5653_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19452,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Omod(X0,X2,X1)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,X3)
% 5.97/6.16 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4522]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19453,plain,
% 5.97/6.16 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Omod(X0,X2,X1)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,X3) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19452]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4520,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2),X4)
% 5.97/6.16 | ~ class_Rings_Osemiring(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5654_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19448,plain,
% 5.97/6.16 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2),X4)
% 5.97/6.16 | ~ class_Rings_Osemiring(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4520]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19449,plain,
% 5.97/6.16 ( ~ class_Rings_Osemiring(X0)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2),X4) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19448]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4489,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X0)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5661_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19386,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X0)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4489]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19387,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.16 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X0)),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X1) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19386]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4475,plain,
% 5.97/6.16 ( epred2_3(X0,X1,X2)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk80_3(X2,X1,X0)),sk1_esk81_3(X2,X1,X0)) = X2
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk82_3(X2,X1,X0)),sk1_esk83_3(X2,X1,X0)) = X2 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5668_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19358,plain,
% 5.97/6.16 ( epred2_3(X0,X1,X2)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk80_3(X2,X1,X0)),sk1_esk81_3(X2,X1,X0)) = X2
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk82_3(X2,X1,X0)),sk1_esk83_3(X2,X1,X0)) = X2 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4475]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4472,plain,
% 5.97/6.16 ( epred1_3(X0,X1,X2)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk76_3(X2,X1,X0)),sk1_esk77_3(X2,X1,X0)) = X2
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk78_3(X2,X1,X0)),sk1_esk79_3(X2,X1,X0)) = X2 ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5669_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19352,plain,
% 5.97/6.16 ( epred1_3(X0,X1,X2)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk76_3(X2,X1,X0)),sk1_esk77_3(X2,X1,X0)) = X2
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk78_3(X2,X1,X0)),sk1_esk79_3(X2,X1,X0)) = X2 ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4472]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4467,plain,
% 5.97/6.16 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X2)),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.97/6.16 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5671_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19342,plain,
% 5.97/6.16 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X2)),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.97/6.16 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4467]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19343,plain,
% 5.97/6.16 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.16 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X2)),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19342]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4460,plain,
% 5.97/6.16 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5673_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19328,plain,
% 5.97/6.16 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X4 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4460]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19329,plain,
% 5.97/6.16 ( ~ class_Fields_Ofield(X0)
% 5.97/6.16 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X4),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.97/6.16 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.16 | X4 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19328]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4445,plain,
% 5.97/6.16 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,sk1_esk73_3(X1,X0,X2))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5678_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19298,plain,
% 5.97/6.16 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,sk1_esk73_3(X1,X0,X2))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4445]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19299,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,sk1_esk73_3(X1,X2,X0))
% 5.97/6.16 | hBOOL(hAPP(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0))) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19298]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4442,plain,
% 5.97/6.16 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk71_3(X1,X0,X2),X2)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5679_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19292,plain,
% 5.97/6.16 ( hBOOL(hAPP(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk71_3(X1,X0,X2),X2)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4442]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19293,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk71_3(X1,X2,X0),X0)
% 5.97/6.16 | hBOOL(hAPP(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0))) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19292]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4440,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk7_1(X0))))),X0)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5680_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19288,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk7_1(X0))))),X0)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4440]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4434,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X4))
% 5.97/6.16 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5682_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19276,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X4))
% 5.97/6.16 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4434]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19277,plain,
% 5.97/6.16 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X4)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19276]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4426,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.16 | ~ class_Rings_Olinordered__ring(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5685_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19260,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.16 | ~ class_Rings_Olinordered__ring(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4426]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19261,plain,
% 5.97/6.16 ( ~ class_Rings_Olinordered__ring(X0)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19260]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4423,plain,
% 5.97/6.16 ( epred2_3(X0,X1,X2)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk80_3(X2,X1,X0)),sk1_esk81_3(X2,X1,X0)) = X2
% 5.97/6.16 | ~ hBOOL(hAPP(X0,sk1_esk83_3(X2,X1,X0))) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5686_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19254,plain,
% 5.97/6.16 ( epred2_3(X0,X1,X2)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk80_3(X2,X1,X0)),sk1_esk81_3(X2,X1,X0)) = X2
% 5.97/6.16 | ~ hBOOL(hAPP(X0,sk1_esk83_3(X2,X1,X0))) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4423]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19255,plain,
% 5.97/6.16 ( ~ hBOOL(hAPP(X0,sk1_esk83_3(X1,X2,X0)))
% 5.97/6.16 | epred2_3(X0,X2,X1)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk80_3(X1,X2,X0)),sk1_esk81_3(X1,X2,X0)) = X1 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19254]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4420,plain,
% 5.97/6.16 ( epred2_3(X0,X1,X2)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk82_3(X2,X1,X0)),sk1_esk83_3(X2,X1,X0)) = X2
% 5.97/6.16 | ~ hBOOL(hAPP(X0,sk1_esk81_3(X2,X1,X0))) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5687_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19248,plain,
% 5.97/6.16 ( epred2_3(X0,X1,X2)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk82_3(X2,X1,X0)),sk1_esk83_3(X2,X1,X0)) = X2
% 5.97/6.16 | ~ hBOOL(hAPP(X0,sk1_esk81_3(X2,X1,X0))) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4420]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19249,plain,
% 5.97/6.16 ( ~ hBOOL(hAPP(X0,sk1_esk81_3(X1,X2,X0)))
% 5.97/6.16 | epred2_3(X0,X2,X1)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk82_3(X1,X2,X0)),sk1_esk83_3(X1,X2,X0)) = X1 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19248]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4417,plain,
% 5.97/6.16 ( epred1_3(X0,X1,X2)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk76_3(X2,X1,X0)),sk1_esk77_3(X2,X1,X0)) = X2
% 5.97/6.16 | ~ hBOOL(hAPP(X0,sk1_esk78_3(X2,X1,X0))) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5688_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19242,plain,
% 5.97/6.16 ( epred1_3(X0,X1,X2)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk76_3(X2,X1,X0)),sk1_esk77_3(X2,X1,X0)) = X2
% 5.97/6.16 | ~ hBOOL(hAPP(X0,sk1_esk78_3(X2,X1,X0))) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4417]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19243,plain,
% 5.97/6.16 ( ~ hBOOL(hAPP(X0,sk1_esk78_3(X1,X2,X0)))
% 5.97/6.16 | epred1_3(X0,X2,X1)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk76_3(X1,X2,X0)),sk1_esk77_3(X1,X2,X0)) = X1 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19242]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4414,plain,
% 5.97/6.16 ( epred1_3(X0,X1,X2)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk78_3(X2,X1,X0)),sk1_esk79_3(X2,X1,X0)) = X2
% 5.97/6.16 | ~ hBOOL(hAPP(X0,sk1_esk76_3(X2,X1,X0))) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5689_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19236,plain,
% 5.97/6.16 ( epred1_3(X0,X1,X2)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk78_3(X2,X1,X0)),sk1_esk79_3(X2,X1,X0)) = X2
% 5.97/6.16 | ~ hBOOL(hAPP(X0,sk1_esk76_3(X2,X1,X0))) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4414]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19237,plain,
% 5.97/6.16 ( ~ hBOOL(hAPP(X0,sk1_esk76_3(X1,X2,X0)))
% 5.97/6.16 | epred1_3(X0,X2,X1)
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk78_3(X1,X2,X0)),sk1_esk79_3(X1,X2,X0)) = X1 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19236]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4398,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ouminus__class_Ouminus(X0,X2)),X1)
% 5.97/6.16 | ~ class_Rings_Oring__1(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5696_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19204,plain,
% 5.97/6.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ouminus__class_Ouminus(X0,X2)),X1)
% 5.97/6.16 | ~ class_Rings_Oring__1(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4398]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19205,plain,
% 5.97/6.16 ( ~ class_Rings_Oring__1(X0)
% 5.97/6.16 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ouminus__class_Ouminus(X0,X2)),X1) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19204]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4384,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0),X2)) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5700_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19176,plain,
% 5.97/6.16 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0),X2)) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4384]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19177,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2))
% 5.97/6.16 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19176]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4381,plain,
% 5.97/6.16 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk57_3(X2,X1,X0)),sk1_esk58_3(X2,X1,X0)) = X1
% 5.97/6.16 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5701_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19170,plain,
% 5.97/6.16 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk57_3(X2,X1,X0)),sk1_esk58_3(X2,X1,X0)) = X1
% 5.97/6.16 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4381]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19171,plain,
% 5.97/6.16 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.16 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.97/6.16 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk57_3(X2,X1,X0)),sk1_esk58_3(X2,X1,X0)) = X1 ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19170]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4339,plain,
% 5.97/6.16 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 5.97/6.16 | ~ class_Divides_Oring__div(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5710_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19086,plain,
% 5.97/6.16 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 5.97/6.16 | ~ class_Divides_Oring__div(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4339]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19087,plain,
% 5.97/6.16 ( ~ class_Divides_Oring__div(X0)
% 5.97/6.16 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19086]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4337,plain,
% 5.97/6.16 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.97/6.16 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5711_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19082,plain,
% 5.97/6.16 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.97/6.16 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4337]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19083,plain,
% 5.97/6.16 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.16 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X0,X3,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19082]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4333,plain,
% 5.97/6.16 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.97/6.16 | ~ hBOOL(hAPP(X0,X3))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(X3)))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3),X1) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5712_3) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19074,plain,
% 5.97/6.16 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.97/6.16 | ~ hBOOL(hAPP(X0,X3))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(X3)))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3),X1) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4333]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19075,plain,
% 5.97/6.16 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Nat_OSuc(X1)))
% 5.97/6.16 | hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X0)))
% 5.97/6.16 | ~ hBOOL(hAPP(X3,X1)) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19074]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4326,plain,
% 5.97/6.16 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X2)),X3),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.97/6.16 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5715_1) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19060,plain,
% 5.97/6.16 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X2)),X3),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.97/6.16 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4326]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19061,plain,
% 5.97/6.16 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.16 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X2)),X3),X2) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19060]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4320,plain,
% 5.97/6.16 ( 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)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.16 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.16 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5719_2) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19048,plain,
% 5.97/6.16 ( 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)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.16 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.16 inference(copy,[status(esa)],[c_4320]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_19049,plain,
% 5.97/6.16 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.16 | 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)
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 5.97/6.16 inference(rewriting,[status(thm)],[c_19048]) ).
% 5.97/6.16
% 5.97/6.16 cnf(c_4317,plain,
% 5.97/6.16 ( 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))))
% 5.97/6.16 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.16 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5720_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_19042,plain,
% 5.97/6.17 ( 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))))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.17 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4317]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_19043,plain,
% 5.97/6.17 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.17 | 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))))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_19042]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4315,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5721_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_19038,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4315]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_19039,plain,
% 5.97/6.17 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.17 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_19038]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4313,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5722_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_19034,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4313]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_19035,plain,
% 5.97/6.17 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.17 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_19034]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4275,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2),c_Divides_Odiv__class_Omod(X0,X1,X2)) = X1
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5732_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18958,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2),c_Divides_Odiv__class_Omod(X0,X1,X2)) = X1
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4275]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18959,plain,
% 5.97/6.17 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2),c_Divides_Odiv__class_Omod(X0,X1,X2)) = X1 ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18958]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4273,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2)) = X1
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5733_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18954,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2)) = X1
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4273]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18955,plain,
% 5.97/6.17 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X0,X1,X2)),X2)) = X1 ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18954]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4271,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5736_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18950,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4271]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18951,plain,
% 5.97/6.17 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18950]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4265,plain,
% 5.97/6.17 ( epred2_3(X0,X1,X2)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk80_3(X2,X1,X0)),sk1_esk81_3(X2,X1,X0)) = X2
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5738_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18938,plain,
% 5.97/6.17 ( epred2_3(X0,X1,X2)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk80_3(X2,X1,X0)),sk1_esk81_3(X2,X1,X0)) = X2
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4265]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18939,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X0,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.17 | epred2_3(X2,X1,X0)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk80_3(X0,X1,X2)),sk1_esk81_3(X0,X1,X2)) = X0 ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18938]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4259,plain,
% 5.97/6.17 ( epred1_3(X0,X1,X2)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk76_3(X2,X1,X0)),sk1_esk77_3(X2,X1,X0)) = X2
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5740_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18926,plain,
% 5.97/6.17 ( epred1_3(X0,X1,X2)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk76_3(X2,X1,X0)),sk1_esk77_3(X2,X1,X0)) = X2
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4259]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18927,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X0,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.17 | epred1_3(X2,X1,X0)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk76_3(X0,X1,X2)),sk1_esk77_3(X0,X1,X2)) = X0 ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18926]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4253,plain,
% 5.97/6.17 ( epred2_3(X0,X1,X2)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk80_3(X2,X1,X0)),sk1_esk81_3(X2,X1,X0)) = X2
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk83_3(X2,X1,X0)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5742_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18914,plain,
% 5.97/6.17 ( epred2_3(X0,X1,X2)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk80_3(X2,X1,X0)),sk1_esk81_3(X2,X1,X0)) = X2
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk83_3(X2,X1,X0)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4253]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18915,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,sk1_esk83_3(X1,X0,X2))
% 5.97/6.17 | epred2_3(X2,X0,X1)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk80_3(X1,X0,X2)),sk1_esk81_3(X1,X0,X2)) = X1 ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18914]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4247,plain,
% 5.97/6.17 ( epred1_3(X0,X1,X2)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk76_3(X2,X1,X0)),sk1_esk77_3(X2,X1,X0)) = X2
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk79_3(X2,X1,X0)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5744_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18902,plain,
% 5.97/6.17 ( epred1_3(X0,X1,X2)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk76_3(X2,X1,X0)),sk1_esk77_3(X2,X1,X0)) = X2
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk79_3(X2,X1,X0)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4247]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18903,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,sk1_esk79_3(X1,X0,X2))
% 5.97/6.17 | epred1_3(X2,X0,X1)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk76_3(X1,X0,X2)),sk1_esk77_3(X1,X0,X2)) = X1 ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18902]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4240,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X4,X5),X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 5.97/6.17 | ~ class_Divides_Oring__div(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5746_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18888,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X4,X5),X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 5.97/6.17 | ~ class_Divides_Oring__div(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4240]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18889,plain,
% 5.97/6.17 ( ~ class_Divides_Oring__div(X0)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X4,X5),X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18888]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4236,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X4,X5),X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5747_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18880,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X4,X5),X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4236]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18881,plain,
% 5.97/6.17 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X4,X5),X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18880]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4229,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5),X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5749_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18866,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5),X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4229]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18867,plain,
% 5.97/6.17 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5),X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X2,X3) != c_Divides_Odiv__class_Omod(X0,X5,X3)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,X1,X3) != c_Divides_Odiv__class_Omod(X0,X4,X3) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18866]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4225,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.17 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5750_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18858,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.17 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4225]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18859,plain,
% 5.97/6.17 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.17 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18858]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4220,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5752_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18848,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4220]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18849,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18848]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4216,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5753_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18840,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4216]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18841,plain,
% 5.97/6.17 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18840]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4196,plain,
% 5.97/6.17 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),c_Rings_Oinverse__class_Odivide(X0,X2,X4))
% 5.97/6.17 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5757_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18800,plain,
% 5.97/6.17 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),c_Rings_Oinverse__class_Odivide(X0,X2,X4))
% 5.97/6.17 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4196]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18801,plain,
% 5.97/6.17 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.17 | c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),c_Rings_Oinverse__class_Odivide(X0,X2,X4)) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18800]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4194,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Polynomial_Opoly(X0,X1),X2)),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5758_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18796,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Polynomial_Opoly(X0,X1),X2)),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4194]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18797,plain,
% 5.97/6.17 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.97/6.17 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Polynomial_Opoly(X0,X1),X2)),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X3)),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18796]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4189,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5760_0) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18786,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4189]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4188,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5760_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18784,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4188]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4186,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5760_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18780,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4186]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18781,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18780]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4146,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X4))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5767_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18700,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X4))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4146]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18701,plain,
% 5.97/6.17 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X4))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18700]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4124,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2)
% 5.97/6.17 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5772_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18656,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2)
% 5.97/6.17 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4124]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18657,plain,
% 5.97/6.17 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 5.97/6.17 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18656]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4122,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5773_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18652,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4122]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18653,plain,
% 5.97/6.17 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.17 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18652]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4119,plain,
% 5.97/6.17 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.17 | hBOOL(hAPP(X1,sk1_esk53_3(X0,X2,X1)))
% 5.97/6.17 | ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X0))) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5774_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18646,plain,
% 5.97/6.17 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.17 | hBOOL(hAPP(X1,sk1_esk53_3(X0,X2,X1)))
% 5.97/6.17 | ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X0))) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4119]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18647,plain,
% 5.97/6.17 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.97/6.17 | hBOOL(hAPP(X0,sk1_esk53_3(X2,X1,X0)))
% 5.97/6.17 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18646]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4056,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.97/6.17 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5790_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18520,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.97/6.17 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4056]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18521,plain,
% 5.97/6.17 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.97/6.17 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18520]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4053,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.97/6.17 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5791_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18514,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.97/6.17 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4053]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18515,plain,
% 5.97/6.17 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.97/6.17 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18514]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4051,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.97/6.17 | ~ class_Rings_Olinordered__ring(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5792_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18510,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.97/6.17 | ~ class_Rings_Olinordered__ring(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4051]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18511,plain,
% 5.97/6.17 ( ~ class_Rings_Olinordered__ring(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2))) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18510]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4045,plain,
% 5.97/6.17 ( epred2_3(X0,X1,X2)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk80_3(X2,X1,X0)),sk1_esk81_3(X2,X1,X0)) = X2
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5794_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18498,plain,
% 5.97/6.17 ( epred2_3(X0,X1,X2)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk80_3(X2,X1,X0)),sk1_esk81_3(X2,X1,X0)) = X2
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4045]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18499,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.17 | epred2_3(X1,X0,X2)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk80_3(X2,X0,X1)),sk1_esk81_3(X2,X0,X1)) = X2 ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18498]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_4039,plain,
% 5.97/6.17 ( epred1_3(X0,X1,X2)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk76_3(X2,X1,X0)),sk1_esk77_3(X2,X1,X0)) = X2
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5796_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18486,plain,
% 5.97/6.17 ( epred1_3(X0,X1,X2)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk76_3(X2,X1,X0)),sk1_esk77_3(X2,X1,X0)) = X2
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_4039]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18487,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.17 | epred1_3(X1,X0,X2)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk76_3(X2,X0,X1)),sk1_esk77_3(X2,X0,X1)) = X2 ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18486]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3936,plain,
% 5.97/6.17 ( c_SEQ_OBseq(X0,X1)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sk1_esk52_4(X3,X1,X2,X0))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5817_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18280,plain,
% 5.97/6.17 ( c_SEQ_OBseq(X0,X1)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sk1_esk52_4(X3,X1,X2,X0))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3936]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18281,plain,
% 5.97/6.17 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,sk1_esk52_4(X2,X3,X1,X0))
% 5.97/6.17 | c_SEQ_OBseq(X0,X3) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18280]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3933,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5818_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18274,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3933]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18275,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r)
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18274]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3930,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.17 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5819_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18268,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.17 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3930]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18269,plain,
% 5.97/6.17 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.17 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18268]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3898,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.97/6.17 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5827_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18204,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.97/6.17 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3898]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18205,plain,
% 5.97/6.17 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18204]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3894,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.17 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5828_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18196,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.17 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3894]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18197,plain,
% 5.97/6.17 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18196]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3878,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.17 | ~ class_Rings_Olinordered__semidom(X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5832_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18164,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.17 | ~ class_Rings_Olinordered__semidom(X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3878]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18165,plain,
% 5.97/6.17 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18164]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3868,plain,
% 5.97/6.17 ( hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_Polynomial_Opoly(X0,X1),X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5835_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18144,plain,
% 5.97/6.17 ( hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_Polynomial_Opoly(X0,X1),X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3868]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18145,plain,
% 5.97/6.17 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.17 | hAPP(c_Polynomial_Opoly(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_Polynomial_Opoly(X0,X1),X3)),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18144]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3854,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk63_2(X2,X0)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5838_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18116,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk63_2(X2,X0)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3854]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18117,plain,
% 5.97/6.17 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk63_2(X2,X0))) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18116]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3852,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk59_2(X2,X0)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5839_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18112,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk59_2(X2,X0)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3852]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18113,plain,
% 5.97/6.17 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk59_2(X2,X0))) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18112]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3850,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1)),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5840_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18108,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1)),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3850]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18109,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1)),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18108]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3847,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3)
% 5.97/6.17 | ~ class_Divides_Oring__div(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5841_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18102,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3)
% 5.97/6.17 | ~ class_Divides_Oring__div(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3847]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18103,plain,
% 5.97/6.17 ( ~ class_Divides_Oring__div(X0)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18102]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3845,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X3),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 5.97/6.17 | ~ class_Divides_Oring__div(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5842_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18098,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X3),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 5.97/6.17 | ~ class_Divides_Oring__div(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3845]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18099,plain,
% 5.97/6.17 ( ~ class_Divides_Oring__div(X0)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X3),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18098]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3839,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X3),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5845_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18086,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X3),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3839]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18087,plain,
% 5.97/6.17 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X3),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18086]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3837,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5846_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18082,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3837]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18083,plain,
% 5.97/6.17 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18082]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3835,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5847_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18078,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3835]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18079,plain,
% 5.97/6.17 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4)) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18078]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3830,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 5.97/6.17 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5848_4) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18068,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 5.97/6.17 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3830]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18069,plain,
% 5.97/6.17 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Oone__class_Oone(X0)) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18068]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3825,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
% 5.97/6.17 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5849_4) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18058,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
% 5.97/6.17 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3825]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18059,plain,
% 5.97/6.17 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.17 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Oone__class_Oone(X0)) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18058]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3822,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,c_Divides_Odiv__class_Odiv(X0,X1,X3))
% 5.97/6.17 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5850_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18052,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,c_Divides_Odiv__class_Odiv(X0,X1,X3))
% 5.97/6.17 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3822]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18053,plain,
% 5.97/6.17 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.17 | c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,c_Divides_Odiv__class_Odiv(X0,X1,X3))
% 5.97/6.17 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18052]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3819,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Groups_Oplus__class_Oplus(X0,X3,c_Divides_Odiv__class_Odiv(X0,X1,X2))
% 5.97/6.17 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5851_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18046,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Groups_Oplus__class_Oplus(X0,X3,c_Divides_Odiv__class_Odiv(X0,X1,X2))
% 5.97/6.17 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3819]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18047,plain,
% 5.97/6.17 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.17 | c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Groups_Oplus__class_Oplus(X0,X3,c_Divides_Odiv__class_Odiv(X0,X1,X2))
% 5.97/6.17 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18046]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3816,plain,
% 5.97/6.17 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.97/6.17 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5852_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18040,plain,
% 5.97/6.17 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.97/6.17 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3816]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18041,plain,
% 5.97/6.17 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.17 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X1,X3))
% 5.97/6.17 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18040]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3813,plain,
% 5.97/6.17 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),X1) = c_Groups_Oplus__class_Oplus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 5.97/6.17 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5853_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18034,plain,
% 5.97/6.17 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),X1) = c_Groups_Oplus__class_Oplus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 5.97/6.17 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3813]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18035,plain,
% 5.97/6.17 ( ~ class_Fields_Ofield(X0)
% 5.97/6.17 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),X1) = c_Groups_Oplus__class_Oplus(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
% 5.97/6.17 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18034]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3810,plain,
% 5.97/6.17 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 5.97/6.17 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5854_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18028,plain,
% 5.97/6.17 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 5.97/6.17 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3810]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18029,plain,
% 5.97/6.17 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.17 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X3),X2)
% 5.97/6.17 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18028]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3807,plain,
% 5.97/6.17 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.97/6.17 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5855_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18022,plain,
% 5.97/6.17 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.97/6.17 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3807]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18023,plain,
% 5.97/6.17 ( ~ class_Fields_Ofield(X0)
% 5.97/6.17 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.97/6.17 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18022]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3799,plain,
% 5.97/6.17 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),X2)
% 5.97/6.17 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5857_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18006,plain,
% 5.97/6.17 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),X2)
% 5.97/6.17 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.17 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3799]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_18007,plain,
% 5.97/6.17 ( ~ class_Fields_Ofield(X0)
% 5.97/6.17 | c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),X2)
% 5.97/6.17 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_18006]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3789,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk66_2(X1,X0)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5860_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17986,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk66_2(X1,X0)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3789]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17987,plain,
% 5.97/6.17 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk66_2(X1,X0))) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17986]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3787,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk65_2(X2,X0)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5861_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17982,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk65_2(X2,X0)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3787]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17983,plain,
% 5.97/6.17 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk65_2(X2,X0))) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17982]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3785,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk62_2(X1,X0)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5862_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17978,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk62_2(X1,X0)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3785]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17979,plain,
% 5.97/6.17 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk62_2(X1,X0))) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17978]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3783,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk61_2(X2,X0)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5863_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17974,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk61_2(X2,X0)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3783]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17975,plain,
% 5.97/6.17 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk61_2(X2,X0))) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17974]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3781,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5864_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17970,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3781]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17971,plain,
% 5.97/6.17 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17970]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3779,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5865_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17966,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3779]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17967,plain,
% 5.97/6.17 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X0,X2,X3)),X3) = c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17966]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3777,plain,
% 5.97/6.17 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),X2)
% 5.97/6.17 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5866_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17962,plain,
% 5.97/6.17 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),X2)
% 5.97/6.17 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3777]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17963,plain,
% 5.97/6.17 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.17 | c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17962]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3775,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X3)),X2)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5867_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17958,plain,
% 5.97/6.17 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X3)),X2)
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3775]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17959,plain,
% 5.97/6.17 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.17 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X0,X1,X3)),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17958]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3771,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2)
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5869_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17950,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2)
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3771]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17951,plain,
% 5.97/6.17 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17950]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3769,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5870_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17946,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3769]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17947,plain,
% 5.97/6.17 ( ~ class_Rings_Ocomm__semiring(X0)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17946]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3765,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5872_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17938,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3765]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17939,plain,
% 5.97/6.17 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17938]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3722,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5884_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17852,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3722]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3718,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5885_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17844,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3718]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17845,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17844]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3716,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.97/6.17 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5886_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17840,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.97/6.17 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3716]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17841,plain,
% 5.97/6.17 ( ~ class_Groups_Omonoid__mult(X0)
% 5.97/6.17 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17840]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3714,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5887_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17836,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3714]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17837,plain,
% 5.97/6.17 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.17 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17836]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3712,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5888_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17832,plain,
% 5.97/6.17 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3712]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17833,plain,
% 5.97/6.17 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.17 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17832]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3709,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)),X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5889_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17826,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)),X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3709]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17827,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r)
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)),X1) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17826]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3641,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5905_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17690,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3641]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3621,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.17 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5910_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17650,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.17 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3621]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17651,plain,
% 5.97/6.17 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17650]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3589,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.17 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5918_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17586,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X3)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.17 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3589]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17587,plain,
% 5.97/6.17 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.17 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X2,X1),X3)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17586]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3585,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.17 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5919_3) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17578,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.17 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3585]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17579,plain,
% 5.97/6.17 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X3)
% 5.97/6.17 | c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1)) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17578]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3569,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5923_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17546,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3569]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17547,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X2))
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17546]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3566,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5924_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17540,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3566]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17541,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17540]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3563,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5925_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17534,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3563]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17535,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1))
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17534]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3551,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5929_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17510,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3551]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17511,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17510]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3548,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5930_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17504,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3548]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17505,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17504]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3543,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5932_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17494,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3543]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17495,plain,
% 5.97/6.17 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17494]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3541,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5933_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17490,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3541]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17491,plain,
% 5.97/6.17 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17490]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3539,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X1)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5934_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17486,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X1)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3539]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17487,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2))
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17486]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3537,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X1)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5935_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17482,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X1)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3537]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17483,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2))
% 5.97/6.17 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17482]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3535,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5936_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17478,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 5.97/6.17 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3535]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17479,plain,
% 5.97/6.17 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2),hAPP(c_Polynomial_Opoly(X0,X3),X2)) = hAPP(c_Polynomial_Opoly(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17478]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3514,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5945_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17436,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3514]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17437,plain,
% 5.97/6.17 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17436]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3512,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Omod(X0,X2,X1)) = X2
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5950_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17432,plain,
% 5.97/6.17 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Omod(X0,X2,X1)) = X2
% 5.97/6.17 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3512]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17433,plain,
% 5.97/6.17 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.17 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)),c_Divides_Odiv__class_Omod(X0,X2,X1)) = X2 ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17432]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3510,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5951_1) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17428,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2))
% 5.97/6.17 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3510]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17429,plain,
% 5.97/6.17 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 5.97/6.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2)) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17428]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3501,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.17 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5954_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17410,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.17 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3501]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17411,plain,
% 5.97/6.17 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.17 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.17 inference(rewriting,[status(thm)],[c_17410]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_3498,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.17 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 5.97/6.17 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5955_2) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17404,plain,
% 5.97/6.17 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.17 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 5.97/6.17 inference(copy,[status(esa)],[c_3498]) ).
% 5.97/6.17
% 5.97/6.17 cnf(c_17405,plain,
% 5.97/6.17 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.17 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17404]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3489,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.18 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5958_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17386,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.18 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3489]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17387,plain,
% 5.97/6.18 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17386]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3486,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.18 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5959_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17380,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.18 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3486]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17381,plain,
% 5.97/6.18 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17380]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3484,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5960_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17376,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3484]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17377,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 5.97/6.18 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17376]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3480,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.18 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5962_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17368,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.18 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3480]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17369,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17368]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3474,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5964_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17356,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3474]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3472,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5966_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17352,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3472]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17353,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17352]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3470,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5967_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17348,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3470]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17349,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17348]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3464,plain,
% 5.97/6.18 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1)),X2)
% 5.97/6.18 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5969_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17336,plain,
% 5.97/6.18 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1)),X2)
% 5.97/6.18 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3464]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17337,plain,
% 5.97/6.18 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.18 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1)),X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17336]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3456,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.97/6.18 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5971_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17320,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.97/6.18 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3456]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17321,plain,
% 5.97/6.18 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17320]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3448,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 5.97/6.18 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5973_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17304,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 5.97/6.18 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3448]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17305,plain,
% 5.97/6.18 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17304]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3433,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oone__class_Oone(X0))),X1)
% 5.97/6.18 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5978_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17274,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oone__class_Oone(X0))),X1)
% 5.97/6.18 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3433]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17275,plain,
% 5.97/6.18 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.18 | c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oone__class_Oone(X0))),X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17274]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3431,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))),X2)
% 5.97/6.18 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5979_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17270,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))),X2)
% 5.97/6.18 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3431]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17271,plain,
% 5.97/6.18 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.18 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))),X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17270]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3428,plain,
% 5.97/6.18 ( c_RComplete_Onatfloor(X0) = X1
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5980_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17264,plain,
% 5.97/6.18 ( c_RComplete_Onatfloor(X0) = X1
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3428]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17265,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.97/6.18 | c_RComplete_Onatfloor(X1) = X0 ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17264]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3425,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5982_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17258,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3425]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17259,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17258]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3420,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5983_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17248,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3420]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17249,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__idom(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17248]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3366,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.18 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5996_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17140,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.18 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3366]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17141,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17140]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3358,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.18 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5998_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17124,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.18 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3358]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17125,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17124]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3354,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.18 | ~ class_Rings_Oordered__ring(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5999_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17116,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.18 | ~ class_Rings_Oordered__ring(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3354]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17117,plain,
% 5.97/6.18 ( ~ class_Rings_Oordered__ring(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17116]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3350,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 5.97/6.18 | ~ class_Rings_Oordered__ring(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6000_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17108,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 5.97/6.18 | ~ class_Rings_Oordered__ring(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3350]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17109,plain,
% 5.97/6.18 ( ~ class_Rings_Oordered__ring(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17108]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3336,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6004_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17080,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3336]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3332,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.18 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6005_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17072,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.18 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3332]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17073,plain,
% 5.97/6.18 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17072]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3324,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.18 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6007_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17056,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.18 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3324]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17057,plain,
% 5.97/6.18 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17056]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3320,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.18 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6008_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17048,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.18 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3320]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17049,plain,
% 5.97/6.18 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17048]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3309,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 5.97/6.18 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6011_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17026,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 5.97/6.18 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3309]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17027,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X3)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17026]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3301,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 5.97/6.18 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6013_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17010,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 5.97/6.18 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3301]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_17011,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_17010]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3275,plain,
% 5.97/6.18 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.18 | hBOOL(hAPP(X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sk1_esk34_2(X1,X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 5.97/6.18 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6019_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16958,plain,
% 5.97/6.18 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.18 | hBOOL(hAPP(X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sk1_esk34_2(X1,X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 5.97/6.18 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3275]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3273,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.97/6.18 | ~ class_Rings_Odivision__ring(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6020_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16954,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.97/6.18 | ~ class_Rings_Odivision__ring(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3273]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16955,plain,
% 5.97/6.18 ( ~ class_Rings_Odivision__ring(X0)
% 5.97/6.18 | c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16954]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3271,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.97/6.18 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6021_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16950,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.97/6.18 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3271]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16951,plain,
% 5.97/6.18 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.97/6.18 | c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16950]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3262,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6024_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16932,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3262]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3250,plain,
% 5.97/6.18 ( epred2_3(X0,X1,X2)
% 5.97/6.18 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6027_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16908,plain,
% 5.97/6.18 ( epred2_3(X0,X1,X2)
% 5.97/6.18 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3250]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16909,plain,
% 5.97/6.18 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))
% 5.97/6.18 | epred2_3(X0,X2,X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16908]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3248,plain,
% 5.97/6.18 ( epred1_3(X0,X1,X2)
% 5.97/6.18 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6028_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16904,plain,
% 5.97/6.18 ( epred1_3(X0,X1,X2)
% 5.97/6.18 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3248]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16905,plain,
% 5.97/6.18 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.97/6.18 | epred1_3(X0,X2,X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16904]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3242,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6030_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16892,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3242]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3236,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6032_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16880,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3236]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3233,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6033_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16874,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3233]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3231,plain,
% 5.97/6.18 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Divides_Odiv__class_Omod(X0,X1,X3)
% 5.97/6.18 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6034_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16870,plain,
% 5.97/6.18 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Divides_Odiv__class_Omod(X0,X1,X3)
% 5.97/6.18 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3231]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16871,plain,
% 5.97/6.18 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.18 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Divides_Odiv__class_Omod(X0,X1,X3) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16870]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3229,plain,
% 5.97/6.18 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 5.97/6.18 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6035_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16866,plain,
% 5.97/6.18 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 5.97/6.18 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3229]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16867,plain,
% 5.97/6.18 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.18 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16866]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3221,plain,
% 5.97/6.18 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X0,X2,X3))
% 5.97/6.18 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6038_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16850,plain,
% 5.97/6.18 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X0,X2,X3))
% 5.97/6.18 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3221]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16851,plain,
% 5.97/6.18 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.18 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X0,X2,X3)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16850]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3217,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.18 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6040_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16842,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.18 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3217]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16843,plain,
% 5.97/6.18 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.97/6.18 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16842]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3215,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.18 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6041_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16838,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.18 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3215]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16839,plain,
% 5.97/6.18 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.18 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16838]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3213,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6042_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16834,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3213]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3211,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6043_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16830,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3211]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3206,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6045_0) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16820,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3206]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3203,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6045_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16814,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3203]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16815,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16814]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3202,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6046_0) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16812,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3202]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3199,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 5.97/6.18 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6046_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16806,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 5.97/6.18 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3199]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16807,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16806]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3197,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6047_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16802,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3197]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16803,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16802]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3195,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6048_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16798,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3195]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16799,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16798]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3193,plain,
% 5.97/6.18 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.18 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6049_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16794,plain,
% 5.97/6.18 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.18 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3193]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16795,plain,
% 5.97/6.18 ( ~ class_Groups_Omonoid__mult(X0)
% 5.97/6.18 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16794]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3191,plain,
% 5.97/6.18 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.97/6.18 | ~ class_Groups_Oab__semigroup__mult(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6050_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16790,plain,
% 5.97/6.18 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.97/6.18 | ~ class_Groups_Oab__semigroup__mult(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3191]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16791,plain,
% 5.97/6.18 ( ~ class_Groups_Oab__semigroup__mult(X0)
% 5.97/6.18 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16790]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3187,plain,
% 5.97/6.18 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.97/6.18 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6052_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16782,plain,
% 5.97/6.18 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.97/6.18 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3187]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16783,plain,
% 5.97/6.18 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.18 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16782]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3185,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6053_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16778,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3185]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3183,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6054_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16774,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3183]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16775,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16774]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3180,plain,
% 5.97/6.18 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.97/6.18 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.97/6.18 | X2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6055_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16768,plain,
% 5.97/6.18 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.97/6.18 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.97/6.18 | X2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3180]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3177,plain,
% 5.97/6.18 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.18 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.97/6.18 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6056_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16762,plain,
% 5.97/6.18 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.18 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.97/6.18 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3177]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3169,plain,
% 5.97/6.18 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))
% 5.97/6.18 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6059_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16746,plain,
% 5.97/6.18 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))
% 5.97/6.18 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3169]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16747,plain,
% 5.97/6.18 ( ~ class_Groups_Omonoid__mult(X0)
% 5.97/6.18 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16746]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3167,plain,
% 5.97/6.18 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))
% 5.97/6.18 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6060_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16742,plain,
% 5.97/6.18 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))
% 5.97/6.18 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3167]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16743,plain,
% 5.97/6.18 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.18 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16742]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3152,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6065_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16712,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3152]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16713,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16712]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3134,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6071_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16676,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3134]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16677,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16676]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3137,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6070_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16682,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3137]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16683,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16682]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3132,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6072_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16672,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3132]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3130,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6073_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16668,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3130]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16669,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16668]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3128,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),X1) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6074_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16664,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),X1) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3128]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16665,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16664]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3126,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6075_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16660,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3126]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3123,plain,
% 5.97/6.18 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.97/6.18 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk58_3(X2,X1,X0),X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6076_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16654,plain,
% 5.97/6.18 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.97/6.18 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk58_3(X2,X1,X0),X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3123]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16655,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk58_3(X0,X1,X2),X0)
% 5.97/6.18 | hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0)))
% 5.97/6.18 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16654]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3120,plain,
% 5.97/6.18 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.97/6.18 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk56_3(X2,X1,X0),X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6077_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16648,plain,
% 5.97/6.18 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.97/6.18 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk56_3(X2,X1,X0),X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3120]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16649,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk56_3(X0,X1,X2),X0)
% 5.97/6.18 | hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X0)))
% 5.97/6.18 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16648]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3117,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6078_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16642,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3117]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3115,plain,
% 5.97/6.18 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3)) = c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2),X3)
% 5.97/6.18 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6079_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16638,plain,
% 5.97/6.18 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3)) = c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2),X3)
% 5.97/6.18 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3115]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16639,plain,
% 5.97/6.18 ( ~ class_Fields_Ofield(X0)
% 5.97/6.18 | c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3)) = c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2),X3) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16638]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3113,plain,
% 5.97/6.18 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6080_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16634,plain,
% 5.97/6.18 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3113]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16635,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16634]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3109,plain,
% 5.97/6.18 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6082_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16626,plain,
% 5.97/6.18 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3109]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16627,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16626]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3105,plain,
% 5.97/6.18 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6084_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16618,plain,
% 5.97/6.18 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3105]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16619,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.18 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16618]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3096,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6087_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16600,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3096]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16601,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16600]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3090,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6089_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16588,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3090]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16589,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16588]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3086,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk21_0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.97/6.18 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X2)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2),v_r) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6090_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16580,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk21_0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.97/6.18 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X2)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2),v_r) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3086]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16581,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,sk1_esk21_0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 5.97/6.18 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16580]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3082,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_s____)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.97/6.18 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X2)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2),v_r) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6091_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16572,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_s____)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.97/6.18 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X2)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2),v_r) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3082]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16573,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,v_s____)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 5.97/6.18 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16572]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_3001,plain,
% 5.97/6.18 ( c_RComplete_Onatfloor(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6112_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16410,plain,
% 5.97/6.18 ( c_RComplete_Onatfloor(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_3001]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16411,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.18 | c_RComplete_Onatfloor(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16410]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2999,plain,
% 5.97/6.18 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6114_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16406,plain,
% 5.97/6.18 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2999]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16407,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.18 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),X0) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16406]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2919,plain,
% 5.97/6.18 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.97/6.18 | ~ epred1_3(X0,X2,X1)
% 5.97/6.18 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6136_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16246,plain,
% 5.97/6.18 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.97/6.18 | ~ epred1_3(X0,X2,X1)
% 5.97/6.18 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2919]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16247,plain,
% 5.97/6.18 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.97/6.18 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.97/6.18 | ~ epred1_3(X0,X2,X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16246]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2917,plain,
% 5.97/6.18 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 5.97/6.18 | ~ class_Divides_Oring__div(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6137_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16242,plain,
% 5.97/6.18 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)
% 5.97/6.18 | ~ class_Divides_Oring__div(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2917]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16243,plain,
% 5.97/6.18 ( ~ class_Divides_Oring__div(X0)
% 5.97/6.18 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,c_Divides_Odiv__class_Omod(X0,X1,X2)),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16242]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2905,plain,
% 5.97/6.18 ( epred2_3(X0,X1,X2)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X2,X1,X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6141_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16218,plain,
% 5.97/6.18 ( epred2_3(X0,X1,X2)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X2,X1,X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2905]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16219,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X0,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk81_3(X0,X1,X2),X1)
% 5.97/6.18 | epred2_3(X2,X1,X0) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16218]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2899,plain,
% 5.97/6.18 ( epred1_3(X0,X1,X2)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X2,X1,X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6143_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16206,plain,
% 5.97/6.18 ( epred1_3(X0,X1,X2)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X2,X1,X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2899]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16207,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X0,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk77_3(X0,X1,X2),X1)
% 5.97/6.18 | epred1_3(X2,X1,X0) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16206]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2897,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))),X1)
% 5.97/6.18 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6144_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16202,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))),X1)
% 5.97/6.18 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2897]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16203,plain,
% 5.97/6.18 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.18 | c_Groups_Oplus__class_Oplus(X0,X1,X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))),X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16202]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2889,plain,
% 5.97/6.18 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6147_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16186,plain,
% 5.97/6.18 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2889]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16187,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.18 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16186]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2885,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)),c_Groups_Oone__class_Oone(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6148_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16178,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)),c_Groups_Oone__class_Oone(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2885]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16179,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)),c_Groups_Oone__class_Oone(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16178]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2883,plain,
% 5.97/6.18 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.18 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6149_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16174,plain,
% 5.97/6.18 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.18 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2883]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16175,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.18 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16174]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2881,plain,
% 5.97/6.18 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.18 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6150_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16170,plain,
% 5.97/6.18 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.18 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2881]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16171,plain,
% 5.97/6.18 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.18 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16170]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2874,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6152_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16156,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2874]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16157,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16156]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2872,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk9_0)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6153_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16152,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk9_0)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2872]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16153,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk9_0)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16152]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2868,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6154_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16144,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2868]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16145,plain,
% 5.97/6.18 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16144]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2864,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6155_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16136,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2864]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16137,plain,
% 5.97/6.18 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16136]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2860,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6156_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16128,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2860]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16129,plain,
% 5.97/6.18 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16128]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2856,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6157_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16120,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2856]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16121,plain,
% 5.97/6.18 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16120]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2848,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6159_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16104,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2848]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16105,plain,
% 5.97/6.18 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16104]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2840,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6161_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16088,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2840]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16089,plain,
% 5.97/6.18 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16088]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2832,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6163_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16072,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2832]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16073,plain,
% 5.97/6.18 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16072]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2804,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6170_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16016,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2804]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16017,plain,
% 5.97/6.18 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16016]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2800,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6171_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16008,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2800]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_16009,plain,
% 5.97/6.18 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_16008]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2792,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6173_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15992,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ class_Fields_Olinordered__field(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2792]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15993,plain,
% 5.97/6.18 ( ~ class_Fields_Olinordered__field(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_15992]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2774,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6178_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15956,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2774]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2772,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6179_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15952,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2772]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2770,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1)),sk1_esk33_2(X0,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),X2) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6180_1) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15948,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1)),sk1_esk33_2(X0,X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),X2) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2770]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2769,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6181_0) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15946,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2769]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2767,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6181_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15942,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2767]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15943,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_15942]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2764,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6182_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15936,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2764]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15937,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_15936]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2761,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6183_2) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15930,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2761]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15931,plain,
% 5.97/6.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_15930]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2757,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.18 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6188_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15922,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.18 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2757]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15923,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_15922]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2753,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6189_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15914,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2753]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15915,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_15914]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2745,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6191_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15898,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2745]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15899,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_15898]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2741,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6192_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15890,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2741]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15891,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_15890]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2737,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6193_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15882,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.18 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2737]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15883,plain,
% 5.97/6.18 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_15882]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2717,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ class_Rings_Oordered__ring(X0) ),
% 5.97/6.18 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6198_3) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15842,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ class_Rings_Oordered__ring(X0) ),
% 5.97/6.18 inference(copy,[status(esa)],[c_2717]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_15843,plain,
% 5.97/6.18 ( ~ class_Rings_Oordered__ring(X0)
% 5.97/6.18 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.18 inference(rewriting,[status(thm)],[c_15842]) ).
% 5.97/6.18
% 5.97/6.18 cnf(c_2709,plain,
% 5.97/6.18 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.19 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6200_3) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15826,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.19 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2709]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15827,plain,
% 5.97/6.19 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15826]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2705,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.19 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6201_3) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15818,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.19 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2705]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15819,plain,
% 5.97/6.19 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15818]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2701,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.19 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6202_3) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15810,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.19 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2701]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15811,plain,
% 5.97/6.19 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15810]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2682,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.19 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6207_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15772,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.19 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2682]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15773,plain,
% 5.97/6.19 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15772]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2679,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.19 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6208_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15766,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.19 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2679]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15767,plain,
% 5.97/6.19 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15766]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2670,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.97/6.19 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6211_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15748,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 5.97/6.19 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2670]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15749,plain,
% 5.97/6.19 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15748]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2667,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.19 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6212_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15742,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.19 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2667]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15743,plain,
% 5.97/6.19 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15742]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2638,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6222_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15684,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2638]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15685,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15684]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2634,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.19 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6223_3) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15676,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.19 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2634]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15677,plain,
% 5.97/6.19 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15676]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2630,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.19 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6224_3) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15668,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.97/6.19 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2630]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15669,plain,
% 5.97/6.19 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oplus__class_Oplus(X0,X3,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15668]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2626,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.19 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6225_3) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15660,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.19 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2626]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15661,plain,
% 5.97/6.19 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15660]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2618,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.19 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6227_3) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15644,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.97/6.19 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2618]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15645,plain,
% 5.97/6.19 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15644]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2610,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk8_1(X0))),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6230_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15628,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk8_1(X0))),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2610]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15629,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk8_1(X0))),X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15628]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2608,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6232_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15624,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2608]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2606,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6233_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15620,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2606]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2604,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6234_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15616,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2604]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2602,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6235_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15612,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2602]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2600,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6236_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15608,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2600]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2598,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6237_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15604,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2598]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2596,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6238_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15600,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2596]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2594,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6239_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15596,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2594]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2592,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6240_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15592,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2592]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2590,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6241_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15588,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2590]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2588,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6242_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15584,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2588]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2581,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X1) = c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X2,X1),c_Groups_Oone__class_Oone(X0))
% 5.97/6.19 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.19 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6244_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15570,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X1) = c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X2,X1),c_Groups_Oone__class_Oone(X0))
% 5.97/6.19 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.19 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2581]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15571,plain,
% 5.97/6.19 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.19 | c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X1) = c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X2,X1),c_Groups_Oone__class_Oone(X0))
% 5.97/6.19 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15570]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2578,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Groups_Oone__class_Oone(X0))
% 5.97/6.19 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.19 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6245_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15564,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Groups_Oone__class_Oone(X0))
% 5.97/6.19 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.19 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2578]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15565,plain,
% 5.97/6.19 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.19 | c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Groups_Oone__class_Oone(X0))
% 5.97/6.19 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15564]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2575,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X3),X2)
% 5.97/6.19 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 5.97/6.19 | ~ class_Divides_Oring__div(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6246_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15558,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X3),X2)
% 5.97/6.19 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2)
% 5.97/6.19 | ~ class_Divides_Oring__div(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2575]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15559,plain,
% 5.97/6.19 ( ~ class_Divides_Oring__div(X0)
% 5.97/6.19 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2) = c_Divides_Odiv__class_Omod(X0,c_Groups_Ouminus__class_Ouminus(X0,X3),X2)
% 5.97/6.19 | c_Divides_Odiv__class_Omod(X0,X1,X2) != c_Divides_Odiv__class_Omod(X0,X3,X2) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15558]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2572,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6247_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15552,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2572]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2569,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6248_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15546,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2569]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2563,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6250_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15534,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2563]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15535,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15534]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2551,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6254_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15510,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2551]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15511,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15510]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2545,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6256_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15498,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2545]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2539,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6258_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15486,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2539]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2536,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6259_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15480,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2536]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2533,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6260_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15474,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2533]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2527,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6262_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15462,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2527]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15463,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15462]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2523,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6263_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15454,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2523]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15455,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15454]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2517,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6265_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15442,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2517]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15443,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15442]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2500,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X0) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6272_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15408,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X0) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2500]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15409,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 5.97/6.19 | c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X0) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15408]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2498,plain,
% 5.97/6.19 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.97/6.19 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6273_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15404,plain,
% 5.97/6.19 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.97/6.19 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2498]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15405,plain,
% 5.97/6.19 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.19 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15404]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2494,plain,
% 5.97/6.19 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.19 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6275_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15396,plain,
% 5.97/6.19 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.19 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2494]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15397,plain,
% 5.97/6.19 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.19 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15396]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2492,plain,
% 5.97/6.19 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) = c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.19 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6276_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15392,plain,
% 5.97/6.19 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) = c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.97/6.19 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2492]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15393,plain,
% 5.97/6.19 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.19 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) = c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15392]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2490,plain,
% 5.97/6.19 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.19 | ~ class_Groups_Oab__semigroup__add(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6277_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15388,plain,
% 5.97/6.19 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.97/6.19 | ~ class_Groups_Oab__semigroup__add(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2490]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15389,plain,
% 5.97/6.19 ( ~ class_Groups_Oab__semigroup__add(X0)
% 5.97/6.19 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15388]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2479,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6281_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15366,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2479]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15367,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15366]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2477,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6282_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15362,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2477]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15363,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15362]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2475,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6283_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15358,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2475]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15359,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1))
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15358]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2473,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6284_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15354,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2473]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15355,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15354]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2467,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = c_Divides_Odiv__class_Odiv(X0,X1,X3)
% 5.97/6.19 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.19 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6286_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15342,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = c_Divides_Odiv__class_Odiv(X0,X1,X3)
% 5.97/6.19 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.19 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2467]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15343,plain,
% 5.97/6.19 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.19 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = c_Divides_Odiv__class_Odiv(X0,X1,X3)
% 5.97/6.19 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15342]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2464,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Divides_Odiv__class_Odiv(X0,X2,X3)
% 5.97/6.19 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.19 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6287_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15336,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Divides_Odiv__class_Odiv(X0,X2,X3)
% 5.97/6.19 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.19 | ~ class_Divides_Osemiring__div(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2464]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15337,plain,
% 5.97/6.19 ( ~ class_Divides_Osemiring__div(X0)
% 5.97/6.19 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Divides_Odiv__class_Odiv(X0,X2,X3)
% 5.97/6.19 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15336]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2461,plain,
% 5.97/6.19 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 5.97/6.19 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.19 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6288_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15330,plain,
% 5.97/6.19 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 5.97/6.19 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.19 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2461]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15331,plain,
% 5.97/6.19 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.19 | c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Rings_Oinverse__class_Odivide(X0,X2,X3)
% 5.97/6.19 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15330]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2458,plain,
% 5.97/6.19 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X3)
% 5.97/6.19 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.19 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6289_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15324,plain,
% 5.97/6.19 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X3)
% 5.97/6.19 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.19 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2458]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15325,plain,
% 5.97/6.19 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.97/6.19 | c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = c_Rings_Oinverse__class_Odivide(X0,X1,X3)
% 5.97/6.19 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15324]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2439,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6295_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15286,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2439]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2436,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6296_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15280,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2436]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2433,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6297_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15274,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2433]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2431,plain,
% 5.97/6.19 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.97/6.19 | ~ class_Rings_Odivision__ring(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6299_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15270,plain,
% 5.97/6.19 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.97/6.19 | ~ class_Rings_Odivision__ring(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2431]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15271,plain,
% 5.97/6.19 ( ~ class_Rings_Odivision__ring(X0)
% 5.97/6.19 | c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15270]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2429,plain,
% 5.97/6.19 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 5.97/6.19 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6300_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15266,plain,
% 5.97/6.19 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 5.97/6.19 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2429]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15267,plain,
% 5.97/6.19 ( ~ class_Groups_Omonoid__mult(X0)
% 5.97/6.19 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15266]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2427,plain,
% 5.97/6.19 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 5.97/6.19 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6301_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15262,plain,
% 5.97/6.19 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 5.97/6.19 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2427]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15263,plain,
% 5.97/6.19 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.19 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15262]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2401,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6309_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15210,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2401]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2399,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6310_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15206,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2399]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2396,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.19 | X1 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6311_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15200,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.19 | X1 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2396]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2393,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.97/6.19 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6312_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15194,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.97/6.19 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2393]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15195,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.97/6.19 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15194]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2391,plain,
% 5.97/6.19 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.19 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6313_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15190,plain,
% 5.97/6.19 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.97/6.19 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2391]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15191,plain,
% 5.97/6.19 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.97/6.19 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15190]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2389,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6314_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15186,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2389]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15187,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15186]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2387,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6315_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15182,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2387]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2384,plain,
% 5.97/6.19 ( X0 = X1
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6323_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15176,plain,
% 5.97/6.19 ( X0 = X1
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2384]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15177,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.19 | X0 = X1 ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15176]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2381,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk10_0)
% 5.97/6.19 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6324_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15170,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk10_0)
% 5.97/6.19 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2381]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15171,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,sk1_esk10_0)
% 5.97/6.19 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15170]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2375,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6327_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15158,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2375]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15159,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15158]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2373,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6328_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15154,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2373]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2371,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6329_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15150,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2371]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15151,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15150]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2369,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 5.97/6.19 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6330_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15146,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 5.97/6.19 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2369]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2360,plain,
% 5.97/6.19 ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6333_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15128,plain,
% 5.97/6.19 ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2360]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15129,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.19 | c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15128]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2358,plain,
% 5.97/6.19 ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6334_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15124,plain,
% 5.97/6.19 ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2358]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15125,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.19 | c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15124]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2356,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6335_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15120,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2356]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15121,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15120]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2350,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6338_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15108,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2350]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15109,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15108]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2348,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6339_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15104,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2348]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15105,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15104]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2321,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6347_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15050,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2321]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15051,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X0) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15050]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2318,plain,
% 5.97/6.19 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.97/6.19 | ~ hBOOL(hAPP(X0,X1))
% 5.97/6.19 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6348_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15044,plain,
% 5.97/6.19 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))
% 5.97/6.19 | ~ hBOOL(hAPP(X0,X1))
% 5.97/6.19 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2318]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2307,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.19 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6351_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15022,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.19 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2307]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15023,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.19 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_15022]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2305,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)
% 5.97/6.19 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6352_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15018,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)
% 5.97/6.19 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2305]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2303,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6353_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15014,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2303]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2301,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6354_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_15010,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2301]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2295,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6356_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14998,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2295]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14999,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14998]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2293,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6357_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14994,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2293]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14995,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14994]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2287,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6360_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14982,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2287]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2285,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6361_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14978,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2285]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2283,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6362_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14974,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2283]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2281,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6363_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14970,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2281]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2275,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.19 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6365_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14958,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.19 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2275]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14959,plain,
% 5.97/6.19 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14958]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2268,plain,
% 5.97/6.19 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk75_2(X0,X1)),X1) = X0
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6367_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14944,plain,
% 5.97/6.19 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk75_2(X0,X1)),X1) = X0
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2268]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14945,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.19 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk75_2(X0,X1)),X1) = X0 ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14944]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2265,plain,
% 5.97/6.19 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk74_2(X0,X1)),X1) = X0
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6368_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14938,plain,
% 5.97/6.19 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk74_2(X0,X1)),X1) = X0
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2265]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14939,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.97/6.19 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk74_2(X0,X1)),X1) = X0 ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14938]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2263,plain,
% 5.97/6.19 ( c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.97/6.19 | c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)) = X1 ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6369_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14934,plain,
% 5.97/6.19 ( c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.97/6.19 | c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)) = X1 ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2263]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2260,plain,
% 5.97/6.19 ( epred2_3(X0,X1,X2)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6370_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14928,plain,
% 5.97/6.19 ( epred2_3(X0,X1,X2)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2260]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14929,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk83_3(X0,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | epred2_3(X2,X1,X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14928]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2254,plain,
% 5.97/6.19 ( epred1_3(X0,X1,X2)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6372_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14916,plain,
% 5.97/6.19 ( epred1_3(X0,X1,X2)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X2,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2254]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14917,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk79_3(X0,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.97/6.19 | epred1_3(X2,X1,X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14916]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2211,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6385_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14830,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2211]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14831,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14830]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2194,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.19 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6392_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14796,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.97/6.19 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2194]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14797,plain,
% 5.97/6.19 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14796]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2191,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.19 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6393_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14790,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.19 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2191]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14791,plain,
% 5.97/6.19 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14790]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2188,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.19 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6394_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14784,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.97/6.19 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2188]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14785,plain,
% 5.97/6.19 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14784]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2186,plain,
% 5.97/6.19 ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6395_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14780,plain,
% 5.97/6.19 ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2186]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14781,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.19 | c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14780]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2184,plain,
% 5.97/6.19 ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6396_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14776,plain,
% 5.97/6.19 ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2184]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14777,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.97/6.19 | c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14776]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2182,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.19 | ~ class_Rings_Olinordered__ring(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6397_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14772,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 5.97/6.19 | ~ class_Rings_Olinordered__ring(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2182]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14773,plain,
% 5.97/6.19 ( ~ class_Rings_Olinordered__ring(X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14772]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2178,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6399_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14764,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2178]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14765,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14764]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2157,plain,
% 5.97/6.19 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.19 | ~ hBOOL(hAPP(X0,X1))
% 5.97/6.19 | ~ hBOOL(hAPP(X0,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sk1_esk34_2(X1,X0)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6408_3) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14722,plain,
% 5.97/6.19 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.19 | ~ hBOOL(hAPP(X0,X1))
% 5.97/6.19 | ~ hBOOL(hAPP(X0,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sk1_esk34_2(X1,X0)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2157]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14723,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk1_esk34_2(X1,X2))
% 5.97/6.19 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.97/6.19 | ~ hBOOL(hAPP(X2,X1))
% 5.97/6.19 | ~ hBOOL(hAPP(X2,X0)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14722]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2155,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6409_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14718,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2155]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14719,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14718]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2153,plain,
% 5.97/6.19 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6410_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14714,plain,
% 5.97/6.19 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2153]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14715,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X1),X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14714]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2149,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6412_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14706,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2149]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2145,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6414_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14698,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2145]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2143,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6415_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14694,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2143]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2141,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6416_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14690,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2141]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2132,plain,
% 5.97/6.19 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.19 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.19 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6419_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14672,plain,
% 5.97/6.19 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.19 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.97/6.19 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2132]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2130,plain,
% 5.97/6.19 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.19 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6420_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14668,plain,
% 5.97/6.19 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.97/6.19 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2130]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14669,plain,
% 5.97/6.19 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 5.97/6.19 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14668]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2128,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6421_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14664,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2128]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2124,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6423_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14656,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2124]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2122,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6424_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14652,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2122]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14653,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14652]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2116,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6429_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14640,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2116]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14641,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14640]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2114,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6430_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14636,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2114]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14637,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0),X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14636]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2112,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6431_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14632,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1),X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2112]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14633,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1),X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14632]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2110,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6432_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14628,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2110]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2108,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6433_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14624,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1),X1)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2108]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14625,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X0),X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14624]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2106,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2))
% 5.97/6.19 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6434_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14620,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2))
% 5.97/6.19 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2106]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14621,plain,
% 5.97/6.19 ( ~ class_Fields_Ofield(X0)
% 5.97/6.19 | c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14620]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2104,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2))
% 5.97/6.19 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6435_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14616,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2))
% 5.97/6.19 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2104]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14617,plain,
% 5.97/6.19 ( ~ class_Fields_Ofield(X0)
% 5.97/6.19 | c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14616]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2102,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2))
% 5.97/6.19 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6436_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14612,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2))
% 5.97/6.19 | ~ class_Fields_Ofield(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2102]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14613,plain,
% 5.97/6.19 ( ~ class_Fields_Ofield(X0)
% 5.97/6.19 | c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14612]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2100,plain,
% 5.97/6.19 ( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk20_2(X1,X0))) = X1
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6437_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14608,plain,
% 5.97/6.19 ( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk20_2(X1,X0))) = X1
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2100]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14609,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk20_2(X1,X0))) = X1 ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14608]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2098,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6438_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14604,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2098]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2096,plain,
% 5.97/6.19 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6439_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14600,plain,
% 5.97/6.19 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2096]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14601,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1 ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14600]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2094,plain,
% 5.97/6.19 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1) = X0
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6440_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14596,plain,
% 5.97/6.19 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1) = X0
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2094]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14597,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X0) = X1 ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14596]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2092,plain,
% 5.97/6.19 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X1
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6441_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14592,plain,
% 5.97/6.19 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X1
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2092]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14593,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 5.97/6.19 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X0 ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14592]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2090,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.19 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6442_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14588,plain,
% 5.97/6.19 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.97/6.19 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2090]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2088,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6443_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14584,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2088]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2073,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X3,X2))
% 5.97/6.19 | ~ class_Orderings_Oord(X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X0),X1,X3) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6449_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14554,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X3,X2))
% 5.97/6.19 | ~ class_Orderings_Oord(X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X0),X1,X3) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2073]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14555,plain,
% 5.97/6.19 ( ~ class_Orderings_Oord(X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 5.97/6.19 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X2,X4),hAPP(X3,X4)) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14554]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2069,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6451_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14546,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2069]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2067,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6452_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14542,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2067]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2065,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6453_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14538,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2065]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2063,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6454_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14534,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2063]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2057,plain,
% 5.97/6.19 ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.19 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.19 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6456_2) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14522,plain,
% 5.97/6.19 ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.19 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.97/6.19 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2057]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14523,plain,
% 5.97/6.19 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.97/6.19 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.97/6.19 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14522]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2055,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))
% 5.97/6.19 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6458_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14518,plain,
% 5.97/6.19 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))
% 5.97/6.19 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2055]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2050,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6460_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14508,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2050]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2046,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6462_1) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14500,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2046]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2045,plain,
% 5.97/6.19 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6463_0) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14498,plain,
% 5.97/6.19 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2045]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2042,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.19 | ~ class_Orderings_Oorder(X0) ),
% 5.97/6.19 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6463_3) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14492,plain,
% 5.97/6.19 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.19 | ~ class_Orderings_Oorder(X0) ),
% 5.97/6.19 inference(copy,[status(esa)],[c_2042]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_14493,plain,
% 5.97/6.19 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.19 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.97/6.19 inference(rewriting,[status(thm)],[c_14492]) ).
% 5.97/6.19
% 5.97/6.19 cnf(c_2041,plain,
% 5.97/6.19 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.19 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.97/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6464_0) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_14490,plain,
% 5.97/6.20 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.97/6.20 inference(copy,[status(esa)],[c_2041]) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_2038,plain,
% 5.97/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.20 | ~ class_Orderings_Opreorder(X0) ),
% 5.97/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6464_3) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_14484,plain,
% 5.97/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.20 | ~ class_Orderings_Opreorder(X0) ),
% 5.97/6.20 inference(copy,[status(esa)],[c_2038]) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_14485,plain,
% 5.97/6.20 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.20 inference(rewriting,[status(thm)],[c_14484]) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_2029,plain,
% 5.97/6.20 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.97/6.20 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.97/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6467_0) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_14466,plain,
% 5.97/6.20 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.97/6.20 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.97/6.20 inference(copy,[status(esa)],[c_2029]) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_2028,plain,
% 5.97/6.20 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.97/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6467_1) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_14464,plain,
% 5.97/6.20 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.97/6.20 inference(copy,[status(esa)],[c_2028]) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_2026,plain,
% 5.97/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.20 | ~ class_Orderings_Oorder(X0) ),
% 5.97/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6467_3) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_14460,plain,
% 5.97/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.20 | ~ class_Orderings_Oorder(X0) ),
% 5.97/6.20 inference(copy,[status(esa)],[c_2026]) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_14461,plain,
% 5.97/6.20 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.97/6.20 inference(rewriting,[status(thm)],[c_14460]) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_2025,plain,
% 5.97/6.20 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.97/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6468_0) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_14458,plain,
% 5.97/6.20 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.97/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.97/6.20 inference(copy,[status(esa)],[c_2025]) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_2024,plain,
% 5.97/6.20 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6468_1) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_14456,plain,
% 5.97/6.20 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.97/6.20 inference(copy,[status(esa)],[c_2024]) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_2022,plain,
% 5.97/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.20 | ~ class_Orderings_Opreorder(X0) ),
% 5.97/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6468_3) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_14452,plain,
% 5.97/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.97/6.20 | ~ class_Orderings_Opreorder(X0) ),
% 5.97/6.20 inference(copy,[status(esa)],[c_2022]) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_14453,plain,
% 5.97/6.20 ( ~ class_Orderings_Opreorder(X0)
% 5.97/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.97/6.20 inference(rewriting,[status(thm)],[c_14452]) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_2021,plain,
% 5.97/6.20 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 5.97/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 5.97/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6469_0) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_14450,plain,
% 5.97/6.20 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 5.97/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 5.97/6.20 inference(copy,[status(esa)],[c_2021]) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_2020,plain,
% 5.97/6.20 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 5.97/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6469_1) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_14448,plain,
% 5.97/6.20 ( ~ class_Orderings_Oorder(X0)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 5.97/6.20 inference(copy,[status(esa)],[c_2020]) ).
% 5.97/6.20
% 5.97/6.20 cnf(c_2018,plain,
% 5.97/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 5.97/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 5.97/6.20 | ~ class_Orderings_Oorder(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6469_3) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14444,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 6.06/6.20 | ~ class_Orderings_Oorder(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_2018]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14445,plain,
% 6.06/6.20 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14444]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_2017,plain,
% 6.06/6.20 ( ~ class_Orderings_Opreorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6470_0) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14442,plain,
% 6.06/6.20 ( ~ class_Orderings_Opreorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_2017]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_2016,plain,
% 6.06/6.20 ( ~ class_Orderings_Opreorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6470_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14440,plain,
% 6.06/6.20 ( ~ class_Orderings_Opreorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_2016]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_2014,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 6.06/6.20 | ~ class_Orderings_Opreorder(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6470_3) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14436,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 6.06/6.20 | ~ class_Orderings_Opreorder(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_2014]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14437,plain,
% 6.06/6.20 ( ~ class_Orderings_Opreorder(X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14436]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_2012,plain,
% 6.06/6.20 ( 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))
% 6.06/6.20 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6471_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14432,plain,
% 6.06/6.20 ( 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))
% 6.06/6.20 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_2012]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14433,plain,
% 6.06/6.20 ( ~ class_Groups_Ogroup__add(X0)
% 6.06/6.20 | 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)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14432]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_2010,plain,
% 6.06/6.20 ( 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))
% 6.06/6.20 | ~ class_Groups_Oab__group__add(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6472_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14428,plain,
% 6.06/6.20 ( 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))
% 6.06/6.20 | ~ class_Groups_Oab__group__add(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_2010]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14429,plain,
% 6.06/6.20 ( ~ class_Groups_Oab__group__add(X0)
% 6.06/6.20 | 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)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14428]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_2008,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.20 | c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)) != X1 ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6474_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14424,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.20 | c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)) != X1 ),
% 6.06/6.20 inference(copy,[status(esa)],[c_2008]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14425,plain,
% 6.06/6.20 ( c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1)) != X1
% 6.06/6.20 | c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14424]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_2006,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X1) = X0
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6475_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14420,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X1) = X0
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_2006]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14421,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 6.06/6.20 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0),X0) = X1 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14420]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_2004,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X0) = X1
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6476_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14416,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X0) = X1
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_2004]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14417,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 6.06/6.20 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X0) = X1 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14416]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_2002,plain,
% 6.06/6.20 ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))) = c_SMT_Oz3div(X0,X1)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6477_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14412,plain,
% 6.06/6.20 ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))) = c_SMT_Oz3div(X0,X1)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_2002]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14413,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 6.06/6.20 | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))) = c_SMT_Oz3div(X1,X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14412]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1999,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),sk1_esk67_3(X2,X1,X0))
% 6.06/6.20 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6478_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14406,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),sk1_esk67_3(X2,X1,X0))
% 6.06/6.20 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1999]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14407,plain,
% 6.06/6.20 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),sk1_esk67_3(X2,X1,X0)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14406]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1996,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,sk1_esk67_3(X2,X1,X0),c_Groups_Oone__class_Oone(X0))
% 6.06/6.20 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6479_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14400,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,sk1_esk67_3(X2,X1,X0),c_Groups_Oone__class_Oone(X0))
% 6.06/6.20 | ~ class_Fields_Olinordered__field__inverse__zero(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1996]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14401,plain,
% 6.06/6.20 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,sk1_esk67_3(X2,X1,X0),c_Groups_Oone__class_Oone(X0)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14400]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1978,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6485_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14364,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1978]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14365,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 6.06/6.20 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14364]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1975,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6486_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14358,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1975]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14359,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 6.06/6.20 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14358]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1971,plain,
% 6.06/6.20 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2)
% 6.06/6.20 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6488_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14350,plain,
% 6.06/6.20 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2)
% 6.06/6.20 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1971]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14351,plain,
% 6.06/6.20 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.06/6.20 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14350]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1969,plain,
% 6.06/6.20 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2)
% 6.06/6.20 | ~ class_Rings_Oring(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6489_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14346,plain,
% 6.06/6.20 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2)
% 6.06/6.20 | ~ class_Rings_Oring(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1969]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14347,plain,
% 6.06/6.20 ( ~ class_Rings_Oring(X0)
% 6.06/6.20 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14346]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1966,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6490_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14340,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1966]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1963,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = X0
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6491_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14334,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = X0
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1963]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14335,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 6.06/6.20 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = X0 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14334]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1960,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = X0
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6492_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14328,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = X0
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1960]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14329,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 6.06/6.20 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = X0 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14328]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1958,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | X1 != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6493_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14324,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | X1 != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1958]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1950,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X1) = c_Divides_Odiv__class_Omod(X0,X2,X1)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6496_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14308,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X1) = c_Divides_Odiv__class_Omod(X0,X2,X1)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1950]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14309,plain,
% 6.06/6.20 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.20 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X1) = c_Divides_Odiv__class_Omod(X0,X2,X1) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14308]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1948,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6497_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14304,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1948]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14305,plain,
% 6.06/6.20 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.20 | c_Divides_Odiv__class_Omod(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14304]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1946,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6498_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14300,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1946]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14301,plain,
% 6.06/6.20 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.20 | c_Divides_Odiv__class_Omod(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = c_Divides_Odiv__class_Omod(X0,X1,X2) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14300]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1944,plain,
% 6.06/6.20 ( c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2)
% 6.06/6.20 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6500_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14296,plain,
% 6.06/6.20 ( c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2)
% 6.06/6.20 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1944]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14297,plain,
% 6.06/6.20 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 6.06/6.20 | c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14296]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1942,plain,
% 6.06/6.20 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)) = X2
% 6.06/6.20 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6501_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14292,plain,
% 6.06/6.20 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)) = X2
% 6.06/6.20 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1942]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14293,plain,
% 6.06/6.20 ( ~ class_Groups_Ogroup__add(X0)
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X2)) = X2 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14292]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1941,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6502_0) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14290,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1941]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1940,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6502_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14288,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1940]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1939,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6502_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14286,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1939]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1938,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6503_0) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14284,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1938]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1937,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6503_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14282,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1937]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1936,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6503_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14280,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1936]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1935,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6504_0) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14278,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1935]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1934,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6504_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14276,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1934]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1933,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6504_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14274,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1933]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1923,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 6.06/6.20 | ~ class_Power_Opower(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6507_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14254,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 6.06/6.20 | ~ class_Power_Opower(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1923]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14255,plain,
% 6.06/6.20 ( ~ class_Power_Opower(X0)
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14254]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1919,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 6.06/6.20 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6509_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14246,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 6.06/6.20 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1919]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14247,plain,
% 6.06/6.20 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14246]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1917,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk9_0),v_r)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6510_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14242,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk9_0),v_r)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1917]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1915,plain,
% 6.06/6.20 ( hAPP(c_Polynomial_Opoly(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1)),X2) = c_Groups_Ouminus__class_Ouminus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2))
% 6.06/6.20 | ~ class_Rings_Ocomm__ring(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6512_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14238,plain,
% 6.06/6.20 ( hAPP(c_Polynomial_Opoly(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1)),X2) = c_Groups_Ouminus__class_Ouminus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2))
% 6.06/6.20 | ~ class_Rings_Ocomm__ring(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1915]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14239,plain,
% 6.06/6.20 ( ~ class_Rings_Ocomm__ring(X0)
% 6.06/6.20 | hAPP(c_Polynomial_Opoly(X0,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X1)),X2) = c_Groups_Ouminus__class_Ouminus(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14238]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1886,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)
% 6.06/6.20 | ~ class_Lattices_Oab__semigroup__idem__mult(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6525_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14180,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)
% 6.06/6.20 | ~ class_Lattices_Oab__semigroup__idem__mult(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1886]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14181,plain,
% 6.06/6.20 ( ~ class_Lattices_Oab__semigroup__idem__mult(X0)
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14180]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1883,plain,
% 6.06/6.20 ( 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))
% 6.06/6.20 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | ~ class_Rings_Odivision__ring(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6526_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14174,plain,
% 6.06/6.20 ( 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))
% 6.06/6.20 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | ~ class_Rings_Odivision__ring(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1883]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14175,plain,
% 6.06/6.20 ( ~ class_Rings_Odivision__ring(X0)
% 6.06/6.20 | 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))
% 6.06/6.20 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14174]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1881,plain,
% 6.06/6.20 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 6.06/6.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6527_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14170,plain,
% 6.06/6.20 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 6.06/6.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1881]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14171,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X0 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14170]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1875,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6529_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14158,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1875]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14159,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14158]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1873,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6530_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14154,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1873]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14155,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 6.06/6.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14154]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1871,plain,
% 6.06/6.20 ( 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))
% 6.06/6.20 | ~ class_Rings_Odivision__ring(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6531_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14150,plain,
% 6.06/6.20 ( 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))
% 6.06/6.20 | ~ class_Rings_Odivision__ring(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1871]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14151,plain,
% 6.06/6.20 ( ~ class_Rings_Odivision__ring(X0)
% 6.06/6.20 | 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)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14150]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1869,plain,
% 6.06/6.20 ( 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))
% 6.06/6.20 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6532_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14146,plain,
% 6.06/6.20 ( 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))
% 6.06/6.20 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1869]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14147,plain,
% 6.06/6.20 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 6.06/6.20 | 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)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14146]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1867,plain,
% 6.06/6.20 ( 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))
% 6.06/6.20 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6533_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14142,plain,
% 6.06/6.20 ( 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))
% 6.06/6.20 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1867]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14143,plain,
% 6.06/6.20 ( ~ class_RealVector_Oreal__normed__field(X0)
% 6.06/6.20 | 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)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14142]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1845,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk8_1(X0)),v_r)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6540_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14098,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk8_1(X0)),v_r)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1845]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1843,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk7_1(X0)),v_r)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6541_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14094,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk7_1(X0)),v_r)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1843]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1839,plain,
% 6.06/6.20 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 6.06/6.20 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6543_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14086,plain,
% 6.06/6.20 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 6.06/6.20 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1839]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14087,plain,
% 6.06/6.20 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.06/6.20 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14086]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1837,plain,
% 6.06/6.20 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 6.06/6.20 | ~ class_Rings_Oring(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6544_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14082,plain,
% 6.06/6.20 ( c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 6.06/6.20 | ~ class_Rings_Oring(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1837]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14083,plain,
% 6.06/6.20 ( ~ class_Rings_Oring(X0)
% 6.06/6.20 | c_Groups_Ouminus__class_Ouminus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14082]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1835,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk35_1(X0))))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6545_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14078,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk35_1(X0))))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1835]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14079,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sk1_esk35_1(X0)))) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14078]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1821,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 6.06/6.20 | ~ class_Lattices_Oboolean__algebra(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6550_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14050,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 6.06/6.20 | ~ class_Lattices_Oboolean__algebra(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1821]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14051,plain,
% 6.06/6.20 ( ~ class_Lattices_Oboolean__algebra(X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14050]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1812,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 6.06/6.20 | ~ class_Groups_Oordered__ab__group__add(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6553_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14032,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 6.06/6.20 | ~ class_Groups_Oordered__ab__group__add(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1812]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14033,plain,
% 6.06/6.20 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14032]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1810,plain,
% 6.06/6.20 ( 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)))
% 6.06/6.20 | ~ class_Rings_Olinordered__semidom(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6554_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14028,plain,
% 6.06/6.20 ( 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)))
% 6.06/6.20 | ~ class_Rings_Olinordered__semidom(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1810]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14029,plain,
% 6.06/6.20 ( ~ class_Rings_Olinordered__semidom(X0)
% 6.06/6.20 | 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))) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14028]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1801,plain,
% 6.06/6.20 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Oplus__class_Oplus(X0,X1,X2)) = X2
% 6.06/6.20 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6557_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14010,plain,
% 6.06/6.20 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Oplus__class_Oplus(X0,X1,X2)) = X2
% 6.06/6.20 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1801]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_14011,plain,
% 6.06/6.20 ( ~ class_Groups_Ogroup__add(X0)
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Oplus__class_Oplus(X0,X1,X2)) = X2 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_14010]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1783,plain,
% 6.06/6.20 ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk23_1(X0))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,sk1_esk22_1(X0))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk21_0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6567_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13974,plain,
% 6.06/6.20 ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk23_1(X0))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,sk1_esk22_1(X0))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk21_0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1783]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13975,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk21_0)
% 6.06/6.20 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk23_1(X0))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,sk1_esk22_1(X0)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13974]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1781,plain,
% 6.06/6.20 ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk4_1(X0))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,sk1_esk3_1(X0))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_s____) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6568_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13970,plain,
% 6.06/6.20 ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk4_1(X0))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,sk1_esk3_1(X0))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_s____) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1781]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13971,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_s____)
% 6.06/6.20 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk4_1(X0))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,sk1_esk3_1(X0)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13970]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1767,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),c_Groups_Ouminus__class_Ouminus(X0,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)
% 6.06/6.20 | ~ class_Rings_Oring(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6573_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13942,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),c_Groups_Ouminus__class_Ouminus(X0,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)
% 6.06/6.20 | ~ class_Rings_Oring(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1767]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13943,plain,
% 6.06/6.20 ( ~ class_Rings_Oring(X0)
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),c_Groups_Ouminus__class_Ouminus(X0,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13942]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1765,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 6.06/6.20 | ~ class_Rings_Oring(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6574_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13938,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2))
% 6.06/6.20 | ~ class_Rings_Oring(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1765]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13939,plain,
% 6.06/6.20 ( ~ class_Rings_Oring(X0)
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13938]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1753,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6578_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13914,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1753]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13915,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2)
% 6.06/6.20 | X1 = X2 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13914]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1736,plain,
% 6.06/6.20 ( c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),X1)
% 6.06/6.20 | c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)) != X0 ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6584_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13880,plain,
% 6.06/6.20 ( c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),X1)
% 6.06/6.20 | c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)) != X0 ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1736]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1732,plain,
% 6.06/6.20 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | X1 != X2 ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6585_3) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13872,plain,
% 6.06/6.20 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | X1 != X2 ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1732]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1730,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6586_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13868,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1730]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1728,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6587_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13864,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1728]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1726,plain,
% 6.06/6.20 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1)
% 6.06/6.20 | ~ class_Groups_Oab__group__add(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6588_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13860,plain,
% 6.06/6.20 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1)
% 6.06/6.20 | ~ class_Groups_Oab__group__add(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1726]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13861,plain,
% 6.06/6.20 ( ~ class_Groups_Oab__group__add(X0)
% 6.06/6.20 | c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13860]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1710,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | ~ class_Orderings_Oorder(X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6592_3) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13828,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | ~ class_Orderings_Oorder(X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1710]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13829,plain,
% 6.06/6.20 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 6.06/6.20 | X2 = X1 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13828]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1711,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | X1 = X2
% 6.06/6.20 | ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6592_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13830,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | X1 = X2
% 6.06/6.20 | ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1711]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13831,plain,
% 6.06/6.20 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 6.06/6.20 | X1 = X2 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13830]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1708,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)))
% 6.06/6.20 | ~ class_Rings_Olinordered__semidom(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6593_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13824,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)))
% 6.06/6.20 | ~ class_Rings_Olinordered__semidom(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1708]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13825,plain,
% 6.06/6.20 ( ~ class_Rings_Olinordered__semidom(X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13824]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1706,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6594_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13820,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1706]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13821,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0))
% 6.06/6.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13820]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1694,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | ~ class_Groups_Ocancel__semigroup__add(X2)
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(X2,X0,X3) != c_Groups_Oplus__class_Oplus(X2,X1,X3) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6598_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13796,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | ~ class_Groups_Ocancel__semigroup__add(X2)
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(X2,X0,X3) != c_Groups_Oplus__class_Oplus(X2,X1,X3) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1694]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13797,plain,
% 6.06/6.20 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 6.06/6.20 | X1 = X3 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13796]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1700,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1)
% 6.06/6.20 | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6596_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13808,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1)
% 6.06/6.20 | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1700]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13809,plain,
% 6.06/6.20 ( ~ class_Groups_Ocancel__ab__semigroup__add(X0)
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 6.06/6.20 | X2 = X3 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13808]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1691,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | ~ class_Groups_Ocancel__semigroup__add(X2)
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6599_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13790,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | ~ class_Groups_Ocancel__semigroup__add(X2)
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1691]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13791,plain,
% 6.06/6.20 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 6.06/6.20 | X2 = X3 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13790]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1679,plain,
% 6.06/6.20 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6603_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13766,plain,
% 6.06/6.20 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1679]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13767,plain,
% 6.06/6.20 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13766]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1673,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 6.06/6.20 | ~ class_Orderings_Oorder(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6605_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13754,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 6.06/6.20 | ~ class_Orderings_Oorder(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1673]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13755,plain,
% 6.06/6.20 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13754]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1664,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 6.06/6.20 | ~ class_Orderings_Opreorder(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6608_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13736,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 6.06/6.20 | ~ class_Orderings_Opreorder(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1664]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13737,plain,
% 6.06/6.20 ( ~ class_Orderings_Opreorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13736]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1661,plain,
% 6.06/6.20 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6609_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13730,plain,
% 6.06/6.20 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1661]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1656,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_RComplete_Onatfloor(X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6611_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13720,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_RComplete_Onatfloor(X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1656]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13721,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_RComplete_Onatfloor(X1)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13720]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1654,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6612_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13716,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1654]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13717,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13716]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1648,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6614_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13704,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1648]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13705,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13704]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1646,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1),X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6615_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13700,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1),X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1646]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13701,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13700]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1644,plain,
% 6.06/6.20 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.20 | X0 = X1
% 6.06/6.20 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6616_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13696,plain,
% 6.06/6.20 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.20 | X0 = X1
% 6.06/6.20 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1644]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13697,plain,
% 6.06/6.20 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.20 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.20 | X0 = X1 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13696]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1641,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6617_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13690,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1641]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13691,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13690]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1639,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,sk1_esk35_1(X0)),X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6618_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13686,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,sk1_esk35_1(X0)),X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1639]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13687,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,sk1_esk35_1(X0)),X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13686]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1630,plain,
% 6.06/6.20 ( 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)
% 6.06/6.20 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | ~ class_Rings_Odivision__ring(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6621_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13668,plain,
% 6.06/6.20 ( 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)
% 6.06/6.20 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | ~ class_Rings_Odivision__ring(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1630]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13669,plain,
% 6.06/6.20 ( ~ class_Rings_Odivision__ring(X0)
% 6.06/6.20 | 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)
% 6.06/6.20 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13668]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1628,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6622_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13664,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1628]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13665,plain,
% 6.06/6.20 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.20 | c_Divides_Odiv__class_Odiv(X0,c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13664]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1625,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = X2
% 6.06/6.20 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6623_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13658,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = X2
% 6.06/6.20 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1625]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13659,plain,
% 6.06/6.20 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.20 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = X2
% 6.06/6.20 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13658]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1622,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = X1
% 6.06/6.20 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6624_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13652,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = X1
% 6.06/6.20 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1622]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13653,plain,
% 6.06/6.20 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.20 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = X1
% 6.06/6.20 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13652]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1620,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1))
% 6.06/6.20 | ~ class_Rings_Olinordered__ring(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6625_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13648,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1))
% 6.06/6.20 | ~ class_Rings_Olinordered__ring(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1620]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13649,plain,
% 6.06/6.20 ( ~ class_Rings_Olinordered__ring(X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13648]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1618,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 6.06/6.20 | X0 = X1
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6626_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13644,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 6.06/6.20 | X0 = X1
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1618]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13645,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 6.06/6.20 | X0 = X1 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13644]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1615,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | X0 = X1
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6627_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13638,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | X0 = X1
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1615]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13639,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 6.06/6.20 | X0 = X1 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13638]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1612,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.20 | X0 = X1
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6628_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13632,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.20 | X0 = X1
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1612]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13633,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
% 6.06/6.20 | X0 = X1 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13632]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1609,plain,
% 6.06/6.20 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1
% 6.06/6.20 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6629_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13626,plain,
% 6.06/6.20 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1
% 6.06/6.20 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1609]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13627,plain,
% 6.06/6.20 ( ~ class_Groups_Ogroup__add(X0)
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13626]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1607,plain,
% 6.06/6.20 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1
% 6.06/6.20 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6630_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13622,plain,
% 6.06/6.20 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1
% 6.06/6.20 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1607]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13623,plain,
% 6.06/6.20 ( ~ class_Groups_Ogroup__add(X0)
% 6.06/6.20 | c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13622]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1599,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6633_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13606,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1599]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13607,plain,
% 6.06/6.20 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 6.06/6.20 | X1 = X2 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13606]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1597,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6634_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13602,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1597]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13603,plain,
% 6.06/6.20 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 6.06/6.20 | X0 = X2 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13602]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1595,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk23_1(X0)),v_r)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk21_0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6635_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13598,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk23_1(X0)),v_r)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk21_0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1595]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1593,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk4_1(X0)),v_r)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_s____) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6636_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13594,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk4_1(X0)),v_r)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_s____) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1593]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1591,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6637_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13590,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1591]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13591,plain,
% 6.06/6.20 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.20 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13590]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1589,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6638_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13586,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1589]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13587,plain,
% 6.06/6.20 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.20 | c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13586]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1587,plain,
% 6.06/6.20 ( 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)
% 6.06/6.20 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6639_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13582,plain,
% 6.06/6.20 ( 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)
% 6.06/6.20 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1587]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13583,plain,
% 6.06/6.20 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 6.06/6.20 | 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) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13582]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1585,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6640_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13578,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1585]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1577,plain,
% 6.06/6.20 ( 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)))
% 6.06/6.20 | X0 != X1 ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6645_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13562,plain,
% 6.06/6.20 ( 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)))
% 6.06/6.20 | X0 != X1 ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1577]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1575,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2)
% 6.06/6.20 | ~ class_Fields_Ofield(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6646_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13558,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2)
% 6.06/6.20 | ~ class_Fields_Ofield(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1575]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13559,plain,
% 6.06/6.20 ( ~ class_Fields_Ofield(X0)
% 6.06/6.20 | c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),X2)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X0),X1,X2) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13558]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1573,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 6.06/6.20 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6647_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13554,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 6.06/6.20 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1573]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1571,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 6.06/6.20 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6648_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13550,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 6.06/6.20 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1571]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1569,plain,
% 6.06/6.20 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk30_2(X1,X0)) = X1
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6649_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13546,plain,
% 6.06/6.20 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk30_2(X1,X0)) = X1
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1569]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13547,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk30_2(X1,X0)) = X1 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13546]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1567,plain,
% 6.06/6.20 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk24_2(X1,X0)) = X1
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6650_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13542,plain,
% 6.06/6.20 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk24_2(X1,X0)) = X1
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1567]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13543,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk24_2(X1,X0)) = X1 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13542]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1562,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk69_2(X0,X1)) = X1
% 6.06/6.20 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6653_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13532,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk69_2(X0,X1)) = X1
% 6.06/6.20 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1562]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1560,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),sk1_esk54_2(X0,X1)) = X1
% 6.06/6.20 | c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6654_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13528,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),sk1_esk54_2(X0,X1)) = X1
% 6.06/6.20 | c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1560]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1556,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6665_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13520,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1556]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13521,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1))
% 6.06/6.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13520]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1554,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6666_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13516,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1554]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13517,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1))
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13516]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1552,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_SMT_Oz3div(X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6667_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13512,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_SMT_Oz3div(X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1552]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13513,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 6.06/6.20 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) = c_SMT_Oz3div(X1,X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13512]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1550,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_SMT_Oz3mod(X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6668_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13508,plain,
% 6.06/6.20 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_SMT_Oz3mod(X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1550]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13509,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 6.06/6.20 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X0) = c_SMT_Oz3mod(X1,X0) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13508]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1540,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X0)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6671_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13488,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X0)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1540]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1538,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6672_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13484,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1538]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1518,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 6.06/6.20 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6678_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13444,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 6.06/6.20 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1518]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1512,plain,
% 6.06/6.20 ( X0 = c_Nat_OSuc(X1)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6680_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13432,plain,
% 6.06/6.20 ( X0 = c_Nat_OSuc(X1)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1512]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13433,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | X0 = c_Nat_OSuc(X1) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13432]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1496,plain,
% 6.06/6.20 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 6.06/6.20 | X2 = c_Rings_Oinverse__class_Odivide(X1,X3,X0)
% 6.06/6.20 | ~ class_Rings_Odivision__ring(X1)
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != X3 ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6684_3) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13400,plain,
% 6.06/6.20 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 6.06/6.20 | X2 = c_Rings_Oinverse__class_Odivide(X1,X3,X0)
% 6.06/6.20 | ~ class_Rings_Odivision__ring(X1)
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != X3 ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1496]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13401,plain,
% 6.06/6.20 ( ~ class_Rings_Odivision__ring(X0)
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != X3
% 6.06/6.20 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | X1 = c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13400]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1500,plain,
% 6.06/6.20 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 6.06/6.20 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) = X3
% 6.06/6.20 | ~ class_Rings_Odivision__ring(X1)
% 6.06/6.20 | X2 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6683_3) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13408,plain,
% 6.06/6.20 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 6.06/6.20 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) = X3
% 6.06/6.20 | ~ class_Rings_Odivision__ring(X1)
% 6.06/6.20 | X2 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1500]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13409,plain,
% 6.06/6.20 ( ~ class_Rings_Odivision__ring(X0)
% 6.06/6.20 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 6.06/6.20 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.20 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13408]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1486,plain,
% 6.06/6.20 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 6.06/6.20 | X1 != X3 ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6687_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13380,plain,
% 6.06/6.20 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 6.06/6.20 | X1 != X3 ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1486]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1482,plain,
% 6.06/6.20 ( ~ class_Orderings_Oord(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 6.06/6.20 | X2 != X3 ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6688_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13372,plain,
% 6.06/6.20 ( ~ class_Orderings_Oord(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 6.06/6.20 | X2 != X3 ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1482]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1476,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 6.06/6.20 | X2 != X3
% 6.06/6.20 | ~ class_Orderings_Oorder(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6689_3) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13360,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 6.06/6.20 | X2 != X3
% 6.06/6.20 | ~ class_Orderings_Oorder(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1476]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13361,plain,
% 6.06/6.20 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 6.06/6.20 | X2 != X3 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13360]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1472,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 6.06/6.20 | X1 != X3
% 6.06/6.20 | ~ class_Orderings_Oord(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6690_3) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13352,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 6.06/6.20 | X1 != X3
% 6.06/6.20 | ~ class_Orderings_Oord(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1472]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13353,plain,
% 6.06/6.20 ( ~ class_Orderings_Oord(X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 6.06/6.20 | X1 != X3 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13352]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1466,plain,
% 6.06/6.20 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 6.06/6.20 | X1 != X3 ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6692_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13340,plain,
% 6.06/6.20 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 6.06/6.20 | X1 != X3 ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1466]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1462,plain,
% 6.06/6.20 ( ~ class_Orderings_Oord(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 6.06/6.20 | X2 != X3 ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6693_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13332,plain,
% 6.06/6.20 ( ~ class_Orderings_Oord(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 6.06/6.20 | X2 != X3 ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1462]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1456,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 6.06/6.20 | X2 != X3
% 6.06/6.20 | ~ class_Orderings_Oorder(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6694_3) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13320,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 6.06/6.20 | X2 != X3
% 6.06/6.20 | ~ class_Orderings_Oorder(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1456]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13321,plain,
% 6.06/6.20 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 6.06/6.20 | X2 != X3 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13320]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1452,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 6.06/6.20 | X1 != X3
% 6.06/6.20 | ~ class_Orderings_Oord(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6695_3) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13312,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 6.06/6.20 | X1 != X3
% 6.06/6.20 | ~ class_Orderings_Oord(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1452]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13313,plain,
% 6.06/6.20 ( ~ class_Orderings_Oord(X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 6.06/6.20 | X1 != X3 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13312]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1445,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 6.06/6.20 | X0 != c_Nat_OSuc(X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6699_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13298,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 6.06/6.20 | X0 != c_Nat_OSuc(X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1445]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1443,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X0))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6700_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13294,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X0))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1443]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13295,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X0)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13294]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1441,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6701_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13290,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1441]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13291,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13290]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1435,plain,
% 6.06/6.20 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.20 | X1 = X2
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6703_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13278,plain,
% 6.06/6.20 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.20 | X1 = X2
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1435]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13279,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)
% 6.06/6.20 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.20 | X0 = X2 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13278]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1432,plain,
% 6.06/6.20 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.20 | X1 = X2
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6704_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13272,plain,
% 6.06/6.20 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.20 | X1 = X2
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1432]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13273,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 6.06/6.20 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.20 | X1 = X2 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13272]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1429,plain,
% 6.06/6.20 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.20 | X1 = X2
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6705_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13266,plain,
% 6.06/6.20 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.20 | X1 = X2
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1429]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13267,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 6.06/6.20 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.20 | X1 = X2 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13266]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1426,plain,
% 6.06/6.20 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.20 | X1 = X2
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6706_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13260,plain,
% 6.06/6.20 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.20 | X1 = X2
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1426]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13261,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 6.06/6.20 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.20 | X0 = X2 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13260]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1406,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | X2 = X1
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ class_Orderings_Oorder(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6711_3) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13220,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | X2 = X1
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ class_Orderings_Oorder(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1406]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13221,plain,
% 6.06/6.20 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | X2 = X1 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13220]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1390,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | X1 = X2
% 6.06/6.20 | ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6715_3) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13188,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | X1 = X2
% 6.06/6.20 | ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1390]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13189,plain,
% 6.06/6.20 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.20 | X1 = X2 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13188]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1388,plain,
% 6.06/6.20 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6716_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13184,plain,
% 6.06/6.20 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.20 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1388]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13185,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))
% 6.06/6.20 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13184]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1386,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))),X1) = c_Groups_Ouminus__class_Ouminus(X0,X1)
% 6.06/6.20 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6717_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13180,plain,
% 6.06/6.20 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))),X1) = c_Groups_Ouminus__class_Ouminus(X0,X1)
% 6.06/6.20 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1386]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13181,plain,
% 6.06/6.20 ( ~ class_Rings_Ocomm__ring__1(X0)
% 6.06/6.20 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oone__class_Oone(X0))),X1) = c_Groups_Ouminus__class_Ouminus(X0,X1) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13180]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1380,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_RComplete_Onatfloor(X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6719_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13168,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_RComplete_Onatfloor(X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1380]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13169,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_RComplete_Onatfloor(X1)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13168]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1378,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_RComplete_Onatceiling(X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6720_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13164,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_RComplete_Onatceiling(X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1378]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13165,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_RComplete_Onatceiling(X1)) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13164]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1374,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6722_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13156,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1374]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1372,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6723_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13152,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1))
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1372]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1363,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6726_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13134,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1363]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13135,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | X1 = X0 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13134]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1360,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6727_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13128,plain,
% 6.06/6.20 ( X0 = X1
% 6.06/6.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1360]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13129,plain,
% 6.06/6.20 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | X0 = X1 ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13128]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1348,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ class_Orderings_Opreorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6731_2) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13104,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ class_Orderings_Opreorder(X0)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1348]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13105,plain,
% 6.06/6.20 ( ~ class_Orderings_Opreorder(X0)
% 6.06/6.20 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 6.06/6.20 inference(rewriting,[status(thm)],[c_13104]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1336,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6736_1) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_13080,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 6.06/6.20 inference(copy,[status(esa)],[c_1336]) ).
% 6.06/6.20
% 6.06/6.20 cnf(c_1334,plain,
% 6.06/6.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),X1) ),
% 6.06/6.20 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6737_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13076,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1334]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13077,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_13076]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1332,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6738_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13072,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1332]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13073,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_13072]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1330,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6739_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13068,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1330]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13069,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_13068]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1328,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)) = c_SMT_Oz3mod(X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6740_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13064,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)) = c_SMT_Oz3mod(X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1328]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13065,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 6.06/6.21 | c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0)) = c_SMT_Oz3mod(X1,X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_13064]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1326,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6741_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13060,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1326]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13061,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_13060]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1324,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6742_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13056,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1324]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1310,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6750_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13028,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1310]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13029,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_13028]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1308,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6751_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13024,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1308]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1304,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6753_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13016,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1304]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1300,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6755_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13008,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1300]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1298,plain,
% 6.06/6.21 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,X1,X2)
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6756_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13004,plain,
% 6.06/6.21 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,X1,X2)
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1298]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_13005,plain,
% 6.06/6.21 ( ~ class_Groups_Ogroup__add(X0)
% 6.06/6.21 | c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,X1,X2) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_13004]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1293,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk22_1(X0))
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk21_0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6758_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12994,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk22_1(X0))
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk21_0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1293]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12995,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk21_0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk22_1(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12994]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1291,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk3_1(X0))
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_s____) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6759_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12990,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk3_1(X0))
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_s____) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1291]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12991,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_s____)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk1_esk3_1(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12990]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1289,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6760_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12986,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1289]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1285,plain,
% 6.06/6.21 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6762_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12978,plain,
% 6.06/6.21 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1285]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12979,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12978]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1282,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 6.06/6.21 | X0 = X1
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6763_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12972,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 6.06/6.21 | X0 = X1
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1282]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12973,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 6.06/6.21 | X0 = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12972]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1280,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6764_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12968,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1280]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12969,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12968]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1271,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | X0 = X1
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6767_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12950,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | X0 = X1
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1271]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12951,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | X0 = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12950]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1265,plain,
% 6.06/6.21 ( X0 = X1
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6769_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12938,plain,
% 6.06/6.21 ( X0 = X1
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1265]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12939,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 6.06/6.21 | X0 = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12938]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1263,plain,
% 6.06/6.21 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X0,X1),X2),X3) = c_Groups_Ouminus__class_Ouminus(X1,hAPP(X2,X3))
% 6.06/6.21 | ~ class_Groups_Ouminus(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6770_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12934,plain,
% 6.06/6.21 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X0,X1),X2),X3) = c_Groups_Ouminus__class_Ouminus(X1,hAPP(X2,X3))
% 6.06/6.21 | ~ class_Groups_Ouminus(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1263]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12935,plain,
% 6.06/6.21 ( ~ class_Groups_Ouminus(X0)
% 6.06/6.21 | hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,X0),X2),X3) = c_Groups_Ouminus__class_Ouminus(X0,hAPP(X2,X3)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12934]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1259,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6772_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12926,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1259]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1255,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1) = X0
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6774_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12918,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1) = X0
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1255]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12919,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1) = X0 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12918]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1253,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6775_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12914,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1253]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1243,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6780_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12894,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1243]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1239,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6782_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12886,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1239]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1237,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6783_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12882,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1237]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12883,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12882]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1232,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6785_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12872,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1232]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12873,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12872]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1230,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 6.06/6.21 | X0 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6786_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12868,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 6.06/6.21 | X0 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1230]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1228,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X0 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6787_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12864,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X0 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1228]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1225,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | c_Nat_OSuc(sk1_esk26_2(X1,X0)) = X0
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6788_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12858,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | c_Nat_OSuc(sk1_esk26_2(X1,X0)) = X0
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1225]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12859,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | c_Nat_OSuc(sk1_esk26_2(X1,X0)) = X0
% 6.06/6.21 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12858]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1223,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6789_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12854,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1223]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12855,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 6.06/6.21 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12854]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1221,plain,
% 6.06/6.21 ( X0 = X1 | hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6790_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12850,plain,
% 6.06/6.21 ( X0 = X1 | hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1221]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12851,plain,
% 6.06/6.21 ( hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) | X0 = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12850]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1218,plain,
% 6.06/6.21 ( c_SEQ_Oincseq(X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk42_2(X1,X0),sk1_esk43_2(X1,X0))
% 6.06/6.21 | ~ class_Orderings_Oorder(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6791_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12844,plain,
% 6.06/6.21 ( c_SEQ_Oincseq(X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk42_2(X1,X0),sk1_esk43_2(X1,X0))
% 6.06/6.21 | ~ class_Orderings_Oorder(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1218]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12845,plain,
% 6.06/6.21 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk42_2(X1,X0),sk1_esk43_2(X1,X0))
% 6.06/6.21 | c_SEQ_Oincseq(X0,X1) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12844]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1215,plain,
% 6.06/6.21 ( c_SEQ_Odecseq(X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk31_2(X1,X0),sk1_esk32_2(X1,X0))
% 6.06/6.21 | ~ class_Orderings_Oorder(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6792_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12838,plain,
% 6.06/6.21 ( c_SEQ_Odecseq(X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk31_2(X1,X0),sk1_esk32_2(X1,X0))
% 6.06/6.21 | ~ class_Orderings_Oorder(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1215]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12839,plain,
% 6.06/6.21 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk31_2(X1,X0),sk1_esk32_2(X1,X0))
% 6.06/6.21 | c_SEQ_Odecseq(X0,X1) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12838]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1213,plain,
% 6.06/6.21 ( X0 = X1
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6793_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12834,plain,
% 6.06/6.21 ( X0 = X1
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1213]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12835,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.21 | X0 = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12834]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1191,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2)
% 6.06/6.21 | X1 != X2 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6800_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12790,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2)
% 6.06/6.21 | X1 != X2 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1191]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1164,plain,
% 6.06/6.21 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.21 | X1 = X2
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6808_0) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12736,plain,
% 6.06/6.21 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.21 | X1 = X2
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1164]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12737,plain,
% 6.06/6.21 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 6.06/6.21 | X1 = X2 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12736]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1161,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 6.06/6.21 | X2 = X1
% 6.06/6.21 | ~ class_Orderings_Olinorder(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6808_3) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12730,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 6.06/6.21 | X2 = X1
% 6.06/6.21 | ~ class_Orderings_Olinorder(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1161]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12731,plain,
% 6.06/6.21 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 6.06/6.21 | X2 = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12730]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1157,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 6.06/6.21 | X2 = X1
% 6.06/6.21 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6809_3) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12722,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 6.06/6.21 | X2 = X1
% 6.06/6.21 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1157]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12723,plain,
% 6.06/6.21 ( ~ class_Rings_Olinordered__idom(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 6.06/6.21 | X2 = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12722]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1142,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 6.06/6.21 | ~ class_Orderings_Olinorder(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6815_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12692,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 6.06/6.21 | ~ class_Orderings_Olinorder(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1142]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12693,plain,
% 6.06/6.21 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12692]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1136,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 6.06/6.21 | ~ class_Orderings_Olinorder(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6817_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12680,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 6.06/6.21 | ~ class_Orderings_Olinorder(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1136]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12681,plain,
% 6.06/6.21 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12680]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1131,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1)
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6819_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12670,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1)
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1131]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12671,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12670]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1125,plain,
% 6.06/6.21 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6821_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12658,plain,
% 6.06/6.21 ( c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1125]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12659,plain,
% 6.06/6.21 ( ~ class_Groups_Ogroup__add(X0)
% 6.06/6.21 | c_Groups_Ouminus__class_Ouminus(X0,X1) = X2
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12658]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1117,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6824_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12642,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1117]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1115,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6825_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12638,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1115]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1113,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 6.06/6.21 | ~ class_Rings_Olinordered__semidom(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6826_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12634,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 6.06/6.21 | ~ class_Rings_Olinordered__semidom(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1113]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12635,plain,
% 6.06/6.21 ( ~ class_Rings_Olinordered__semidom(X0)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12634]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1111,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 6.06/6.21 | ~ class_Rings_Olinordered__semidom(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6827_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12630,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 6.06/6.21 | ~ class_Rings_Olinordered__semidom(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1111]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12631,plain,
% 6.06/6.21 ( ~ class_Rings_Olinordered__semidom(X0)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12630]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1109,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6828_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12626,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1109]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12627,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12626]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1095,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6833_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12598,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1095]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12599,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12598]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1087,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 6.06/6.21 | X1 != X2 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6836_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12582,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 6.06/6.21 | X1 != X2 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1087]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1085,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 6.06/6.21 | X0 != X2 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6837_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12578,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 6.06/6.21 | X0 != X2 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1085]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1083,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 6.06/6.21 | X0 = X1 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6838_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12574,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 6.06/6.21 | X0 = X1 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1083]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1076,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 6.06/6.21 | X1 = X0 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6840_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12560,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 6.06/6.21 | X1 = X0 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1076]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1073,plain,
% 6.06/6.21 ( hAPP(c_Polynomial_Opoly(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | c_Polynomial_Oorder(X0,X2,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ class_Rings_Oidom(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6841_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12554,plain,
% 6.06/6.21 ( hAPP(c_Polynomial_Opoly(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | c_Polynomial_Oorder(X0,X2,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ class_Rings_Oidom(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1073]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12555,plain,
% 6.06/6.21 ( ~ class_Rings_Oidom(X0)
% 6.06/6.21 | hAPP(c_Polynomial_Opoly(X0,X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | c_Polynomial_Oorder(X0,X2,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12554]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1045,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6850_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12498,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1045]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1043,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6851_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12494,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1043]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1041,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6852_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12490,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1041]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1032,plain,
% 6.06/6.21 ( ~ class_Rings_Ono__zero__divisors(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6855_0) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12472,plain,
% 6.06/6.21 ( ~ class_Rings_Ono__zero__divisors(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1032]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1029,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 6.06/6.21 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1)
% 6.06/6.21 | ~ class_Rings_Ono__zero__divisors(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6855_3) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12466,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 6.06/6.21 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1)
% 6.06/6.21 | ~ class_Rings_Ono__zero__divisors(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1029]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12467,plain,
% 6.06/6.21 ( ~ class_Rings_Ono__zero__divisors(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12466]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1008,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 6.06/6.21 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1)
% 6.06/6.21 | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6864_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12424,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 6.06/6.21 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1)
% 6.06/6.21 | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1008]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12425,plain,
% 6.06/6.21 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 6.06/6.21 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12424]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1006,plain,
% 6.06/6.21 ( X0 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6865_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12420,plain,
% 6.06/6.21 ( X0 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1006]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12421,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.21 | X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12420]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_1004,plain,
% 6.06/6.21 ( c_Nat_OSuc(sk1_esk25_1(X0)) = X0
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6866_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12416,plain,
% 6.06/6.21 ( c_Nat_OSuc(sk1_esk25_1(X0)) = X0
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_1004]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12417,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 6.06/6.21 | c_Nat_OSuc(sk1_esk25_1(X0)) = X0 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12416]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_987,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6872_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12382,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_987]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_985,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 6.06/6.21 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6873_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12378,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 6.06/6.21 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_985]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_966,plain,
% 6.06/6.21 ( X0 != X1
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
% 6.06/6.21 | ~ class_Orderings_Oorder(X2) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6879_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12340,plain,
% 6.06/6.21 ( X0 != X1
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
% 6.06/6.21 | ~ class_Orderings_Oorder(X2) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_966]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12341,plain,
% 6.06/6.21 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.21 | X2 != X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12340]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_960,plain,
% 6.06/6.21 ( X0 != X1
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 6.06/6.21 | ~ class_Orderings_Oorder(X2) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6881_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12328,plain,
% 6.06/6.21 ( X0 != X1
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 6.06/6.21 | ~ class_Orderings_Oorder(X2) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_960]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12329,plain,
% 6.06/6.21 ( ~ class_Orderings_Oorder(X0)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.21 | X1 != X2 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12328]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_954,plain,
% 6.06/6.21 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.21 | X1 != X2
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6883_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12316,plain,
% 6.06/6.21 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.21 | X1 != X2
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_954]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12317,plain,
% 6.06/6.21 ( ~ class_Orderings_Olinorder(X0)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 6.06/6.21 | X1 != X2 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12316]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_944,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 6.06/6.21 | X1 != X2 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6887_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12296,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 6.06/6.21 | X1 != X2 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_944]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_942,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 6.06/6.21 | X0 != X2 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6888_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12292,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 6.06/6.21 | X0 != X2 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_942]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_940,plain,
% 6.06/6.21 ( c_RComplete_Onatfloor(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6889_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12288,plain,
% 6.06/6.21 ( c_RComplete_Onatfloor(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_940]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12289,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 6.06/6.21 | c_RComplete_Onatfloor(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12288]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_938,plain,
% 6.06/6.21 ( c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6890_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12284,plain,
% 6.06/6.21 ( c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_938]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12285,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 6.06/6.21 | c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12284]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_935,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6891_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12278,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_935]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12279,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12278]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_933,plain,
% 6.06/6.21 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6892_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12274,plain,
% 6.06/6.21 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_933]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12275,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12274]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_931,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X1)
% 6.06/6.21 | ~ class_Orderings_Opreorder(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6893_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12270,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X1)
% 6.06/6.21 | ~ class_Orderings_Opreorder(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_931]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12271,plain,
% 6.06/6.21 ( ~ class_Orderings_Opreorder(X0)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X1) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12270]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_929,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6895_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12266,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_929]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12267,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 6.06/6.21 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12266]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_923,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Groups_Oab__group__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6901_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12254,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Groups_Oab__group__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_923]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12255,plain,
% 6.06/6.21 ( ~ class_Groups_Oab__group__add(X0)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12254]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_921,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6902_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12250,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_921]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12251,plain,
% 6.06/6.21 ( ~ class_Groups_Ogroup__add(X0)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12250]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_919,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6903_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12246,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_919]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12247,plain,
% 6.06/6.21 ( ~ class_Groups_Ogroup__add(X0)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12246]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_917,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6905_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12242,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_917]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12243,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12242]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_915,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6906_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12238,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_915]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12239,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12238]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_913,plain,
% 6.06/6.21 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6907_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12234,plain,
% 6.06/6.21 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_913]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12235,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 6.06/6.21 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12234]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_905,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk66_2(X0,X1))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6910_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12218,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk66_2(X0,X1))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_905]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12219,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk66_2(X1,X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12218]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_903,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk65_2(X0,X1))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6911_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12214,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk65_2(X0,X1))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_903]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12215,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk65_2(X1,X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12214]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_901,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk63_2(X0,X1))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6912_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12210,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk63_2(X0,X1))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_901]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12211,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__field(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk63_2(X1,X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12210]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_899,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk62_2(X0,X1))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6913_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12206,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk62_2(X0,X1))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_899]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12207,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk62_2(X1,X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12206]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_897,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk61_2(X0,X1))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6914_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12202,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk61_2(X0,X1))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_897]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12203,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk61_2(X1,X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12202]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_895,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk59_2(X0,X1))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6915_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12198,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk59_2(X0,X1))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_895]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12199,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__field(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk59_2(X1,X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12198]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_893,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6916_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12194,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_893]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12195,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12194]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_884,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != X1 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6919_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12176,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != X1 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_884]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12177,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != X0
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12176]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_882,plain,
% 6.06/6.21 ( hAPP(c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6924_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12172,plain,
% 6.06/6.21 ( hAPP(c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_882]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12173,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 6.06/6.21 | hAPP(c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12172]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_880,plain,
% 6.06/6.21 ( hAPP(c_Polynomial_Opoly(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6925_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12168,plain,
% 6.06/6.21 ( hAPP(c_Polynomial_Opoly(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_880]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12169,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.21 | hAPP(c_Polynomial_Opoly(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Oone__class_Oone(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12168]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_878,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) | X0 != X1 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6926_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12164,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) | X0 != X1 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_878]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_870,plain,
% 6.06/6.21 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6930_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12148,plain,
% 6.06/6.21 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_870]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12149,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) | X1 != X0 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12148]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_868,plain,
% 6.06/6.21 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6931_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12144,plain,
% 6.06/6.21 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_868]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12145,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12144]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_866,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) | X0 != X1 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6932_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12140,plain,
% 6.06/6.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) | X0 != X1 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_866]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_864,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1
% 6.06/6.21 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6933_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12136,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1
% 6.06/6.21 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_864]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12137,plain,
% 6.06/6.21 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12136]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_862,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = X1
% 6.06/6.21 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6934_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12132,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = X1
% 6.06/6.21 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_862]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12133,plain,
% 6.06/6.21 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12132]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_856,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6939_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12120,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_856]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_855,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6940_0) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12118,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_855]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_853,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6940_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12114,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_853]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12115,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12114]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_851,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.21 | X0 != X1 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6944_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12110,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.21 | X0 != X1 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_851]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_848,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6945_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12104,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_848]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12105,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0
% 6.06/6.21 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12104]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_842,plain,
% 6.06/6.21 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6949_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12092,plain,
% 6.06/6.21 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_842]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12093,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 6.06/6.21 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12092]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_840,plain,
% 6.06/6.21 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6950_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12088,plain,
% 6.06/6.21 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_840]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12089,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 6.06/6.21 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12088]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_811,plain,
% 6.06/6.21 ( c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0)
% 6.06/6.21 | ~ class_Power_Opower(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6961_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12030,plain,
% 6.06/6.21 ( c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0)
% 6.06/6.21 | ~ class_Power_Opower(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_811]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12031,plain,
% 6.06/6.21 ( ~ class_Power_Opower(X0)
% 6.06/6.21 | c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12030]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_809,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.21 | X1 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6963_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12026,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.21 | X1 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_809]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_799,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | ~ class_Groups_Omonoid__mult(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6966_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12006,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | ~ class_Groups_Omonoid__mult(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_799]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_12007,plain,
% 6.06/6.21 ( ~ class_Groups_Omonoid__mult(X0)
% 6.06/6.21 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_12006]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_795,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6968_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11998,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_795]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11999,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11998]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_793,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Omult__zero(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6969_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11994,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Omult__zero(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_793]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11995,plain,
% 6.06/6.21 ( ~ class_Rings_Omult__zero(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11994]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_791,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6970_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11990,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_791]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11991,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11990]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_779,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 6.06/6.21 | ~ class_Rings_Olinordered__semidom(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6974_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11966,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 6.06/6.21 | ~ class_Rings_Olinordered__semidom(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_779]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11967,plain,
% 6.06/6.21 ( ~ class_Rings_Olinordered__semidom(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11966]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_777,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 6.06/6.21 | ~ class_Rings_Olinordered__semidom(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6975_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11962,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 6.06/6.21 | ~ class_Rings_Olinordered__semidom(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_777]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11963,plain,
% 6.06/6.21 ( ~ class_Rings_Olinordered__semidom(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11962]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_772,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 6.06/6.21 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6977_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11952,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 6.06/6.21 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_772]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11953,plain,
% 6.06/6.21 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11952]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_770,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 6.06/6.21 | ~ class_Groups_Omonoid__mult(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6978_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11948,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 6.06/6.21 | ~ class_Groups_Omonoid__mult(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_770]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11949,plain,
% 6.06/6.21 ( ~ class_Groups_Omonoid__mult(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11948]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_768,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6979_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11944,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_768]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11945,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11944]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_763,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Oone__class_Oone(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6981_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11934,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Oone__class_Oone(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_763]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11935,plain,
% 6.06/6.21 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.21 | c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Oone__class_Oone(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11934]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_761,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6982_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11930,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_761]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11931,plain,
% 6.06/6.21 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.21 | c_Divides_Odiv__class_Omod(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11930]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_753,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6985_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11914,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_753]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11915,plain,
% 6.06/6.21 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.21 | c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11914]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_751,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6986_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11910,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_751]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11911,plain,
% 6.06/6.21 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.21 | c_Divides_Odiv__class_Odiv(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11910]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_749,plain,
% 6.06/6.21 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6987_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11906,plain,
% 6.06/6.21 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_749]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11907,plain,
% 6.06/6.21 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 6.06/6.21 | c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11906]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_747,plain,
% 6.06/6.21 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Odivision__ring(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6988_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11902,plain,
% 6.06/6.21 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Odivision__ring(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_747]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11903,plain,
% 6.06/6.21 ( ~ class_Rings_Odivision__ring(X0)
% 6.06/6.21 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11902]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_745,plain,
% 6.06/6.21 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6989_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11898,plain,
% 6.06/6.21 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_745]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11899,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__field(X0)
% 6.06/6.21 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11898]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_740,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Odiv(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6992_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11888,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Odiv(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_740]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11889,plain,
% 6.06/6.21 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.21 | c_Divides_Odiv__class_Odiv(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11888]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_734,plain,
% 6.06/6.21 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Odivision__ring(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6994_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11876,plain,
% 6.06/6.21 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Odivision__ring(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_734]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11877,plain,
% 6.06/6.21 ( ~ class_Rings_Odivision__ring(X0)
% 6.06/6.21 | c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11876]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_731,plain,
% 6.06/6.21 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6995_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11870,plain,
% 6.06/6.21 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_731]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11871,plain,
% 6.06/6.21 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 6.06/6.21 | c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11870]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_729,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk64_1(X0))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6996_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11866,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk64_1(X0))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_729]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11867,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk64_1(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11866]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_727,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk60_1(X0))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6997_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11862,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk60_1(X0))
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_727]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11863,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk60_1(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11862]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_723,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6999_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11854,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_723]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11855,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11854]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_721,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Omult__zero(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7000_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11850,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Omult__zero(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_721]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11851,plain,
% 6.06/6.21 ( ~ class_Rings_Omult__zero(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11850]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_719,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7001_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11846,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_719]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11847,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11846]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_708,plain,
% 6.06/6.21 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7005_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11824,plain,
% 6.06/6.21 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_708]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11825,plain,
% 6.06/6.21 ( ~ class_Groups_Ogroup__add(X0)
% 6.06/6.21 | c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11824]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_706,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7006_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11820,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_706]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11821,plain,
% 6.06/6.21 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.21 | c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11820]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_704,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7007_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11816,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_704]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11817,plain,
% 6.06/6.21 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.21 | c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11816]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_702,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7008_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11812,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_702]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11813,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11812]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_700,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7009_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11808,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_700]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11809,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11808]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_698,plain,
% 6.06/6.21 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 6.06/6.21 | ~ class_Rings_Odivision__ring(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7010_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11804,plain,
% 6.06/6.21 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 6.06/6.21 | ~ class_Rings_Odivision__ring(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_698]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11805,plain,
% 6.06/6.21 ( ~ class_Rings_Odivision__ring(X0)
% 6.06/6.21 | c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11804]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_696,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 6.06/6.21 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7011_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11800,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 6.06/6.21 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_696]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11801,plain,
% 6.06/6.21 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11800]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_694,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 6.06/6.21 | ~ class_Groups_Omonoid__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7012_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11796,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 6.06/6.21 | ~ class_Groups_Omonoid__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_694]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11797,plain,
% 6.06/6.21 ( ~ class_Groups_Omonoid__add(X0)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11796]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_692,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 6.06/6.21 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7013_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11792,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 6.06/6.21 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_692]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11793,plain,
% 6.06/6.21 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11792]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_690,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 6.06/6.21 | ~ class_Groups_Omonoid__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7014_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11788,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 6.06/6.21 | ~ class_Groups_Omonoid__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_690]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11789,plain,
% 6.06/6.21 ( ~ class_Groups_Omonoid__add(X0)
% 6.06/6.21 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11788]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_688,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | X0 != c_Nat_OSuc(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7016_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11784,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | X0 != c_Nat_OSuc(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_688]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_685,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7017_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11778,plain,
% 6.06/6.21 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_685]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_683,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | ~ class_Power_Opower(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7018_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11774,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | ~ class_Power_Opower(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_683]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11775,plain,
% 6.06/6.21 ( ~ class_Power_Opower(X0)
% 6.06/6.21 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11774]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_681,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7019_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11770,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_681]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11771,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.21 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11770]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_679,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 6.06/6.21 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7020_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11766,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 6.06/6.21 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_679]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11767,plain,
% 6.06/6.21 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11766]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_677,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 6.06/6.21 | ~ class_Groups_Omonoid__mult(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7021_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11762,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 6.06/6.21 | ~ class_Groups_Omonoid__mult(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_677]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11763,plain,
% 6.06/6.21 ( ~ class_Groups_Omonoid__mult(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11762]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_675,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7022_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11758,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_675]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11759,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11758]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_671,plain,
% 6.06/6.21 ( c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7025_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11750,plain,
% 6.06/6.21 ( c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_671]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11751,plain,
% 6.06/6.21 ( ~ class_Groups_Ogroup__add(X0)
% 6.06/6.21 | c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11750]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_669,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7026_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11746,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Omod(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Divides_Osemiring__div(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_669]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11747,plain,
% 6.06/6.21 ( ~ class_Divides_Osemiring__div(X0)
% 6.06/6.21 | c_Divides_Odiv__class_Omod(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11746]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_663,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.21 | X1 != X2
% 6.06/6.21 | ~ class_Orderings_Opreorder(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7028_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11734,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.21 | X1 != X2
% 6.06/6.21 | ~ class_Orderings_Opreorder(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_663]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11735,plain,
% 6.06/6.21 ( ~ class_Orderings_Opreorder(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 6.06/6.21 | X1 != X2 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11734]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_655,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7031_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11718,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_655]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_653,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 6.06/6.21 | X0 != c_Nat_OSuc(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7032_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11714,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 6.06/6.21 | X0 != c_Nat_OSuc(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_653]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_651,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 6.06/6.21 | ~ class_Groups_Omonoid__mult(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7033_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11710,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 6.06/6.21 | ~ class_Groups_Omonoid__mult(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_651]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11711,plain,
% 6.06/6.21 ( ~ class_Groups_Omonoid__mult(X0)
% 6.06/6.21 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11710]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_649,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7034_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11706,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_649]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11707,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.21 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11706]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_647,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | X0 != X1 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7036_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11702,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 6.06/6.21 | X0 != X1 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_647]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_645,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7040_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11698,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_645]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_643,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X1)
% 6.06/6.21 | ~ class_Orderings_Opreorder(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7041_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11694,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X1)
% 6.06/6.21 | ~ class_Orderings_Opreorder(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_643]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11695,plain,
% 6.06/6.21 ( ~ class_Orderings_Opreorder(X0)
% 6.06/6.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,X1) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11694]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_641,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 6.06/6.21 | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7042_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11690,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 6.06/6.21 | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_641]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_639,plain,
% 6.06/6.21 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7043_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11686,plain,
% 6.06/6.21 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_639]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11687,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 6.06/6.21 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11686]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_629,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 6.06/6.21 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 6.06/6.21 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7046_2) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11666,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 6.06/6.21 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 6.06/6.21 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_629]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_625,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = X1
% 6.06/6.21 | ~ class_Lattices_Oab__semigroup__idem__mult(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7048_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11658,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = X1
% 6.06/6.21 | ~ class_Lattices_Oab__semigroup__idem__mult(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_625]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11659,plain,
% 6.06/6.21 ( ~ class_Lattices_Oab__semigroup__idem__mult(X0)
% 6.06/6.21 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11658]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_621,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 6.06/6.21 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7050_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11650,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 6.06/6.21 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_621]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_619,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 6.06/6.21 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7056_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11646,plain,
% 6.06/6.21 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 6.06/6.21 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_619]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_611,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7071_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11630,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_611]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_609,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) | X0 != X1 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7072_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11626,plain,
% 6.06/6.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) | X0 != X1 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_609]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_607,plain,
% 6.06/6.21 ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Groups_Oab__group__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7075_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11622,plain,
% 6.06/6.21 ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Groups_Oab__group__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_607]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11623,plain,
% 6.06/6.21 ( ~ class_Groups_Oab__group__add(X0)
% 6.06/6.21 | c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11622]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_605,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7080_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11618,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_605]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_603,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7081_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11614,plain,
% 6.06/6.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_603]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_595,plain,
% 6.06/6.21 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1
% 6.06/6.21 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7093_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11598,plain,
% 6.06/6.21 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1
% 6.06/6.21 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_595]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11599,plain,
% 6.06/6.21 ( ~ class_Lattices_Oboolean__algebra(X0)
% 6.06/6.21 | c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11598]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_593,plain,
% 6.06/6.21 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7094_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11594,plain,
% 6.06/6.21 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_593]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11595,plain,
% 6.06/6.21 ( ~ class_Groups_Ogroup__add(X0)
% 6.06/6.21 | c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11594]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_569,plain,
% 6.06/6.21 ( X0 = X1
% 6.06/6.21 | c_RealDef_Oreal(tc_Nat_Onat,X0) != c_RealDef_Oreal(tc_Nat_Onat,X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7102_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11546,plain,
% 6.06/6.21 ( X0 = X1
% 6.06/6.21 | c_RealDef_Oreal(tc_Nat_Onat,X0) != c_RealDef_Oreal(tc_Nat_Onat,X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_569]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11547,plain,
% 6.06/6.21 ( c_RealDef_Oreal(tc_Nat_Onat,X0) != c_RealDef_Oreal(tc_Nat_Onat,X1)
% 6.06/6.21 | X0 = X1 ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11546]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_552,plain,
% 6.06/6.21 ( class_Groups_Ouminus(tc_fun(X0,X1)) | ~ class_Groups_Ouminus(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7108_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11512,plain,
% 6.06/6.21 ( class_Groups_Ouminus(tc_fun(X0,X1)) | ~ class_Groups_Ouminus(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_552]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_550,plain,
% 6.06/6.21 ( class_Orderings_Oord(tc_fun(X0,X1)) | ~ class_Orderings_Oord(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7109_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11508,plain,
% 6.06/6.21 ( class_Orderings_Oord(tc_fun(X0,X1)) | ~ class_Orderings_Oord(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_550]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_548,plain,
% 6.06/6.21 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7110_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11504,plain,
% 6.06/6.21 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_548]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_546,plain,
% 6.06/6.21 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 6.06/6.21 | ~ class_Orderings_Opreorder(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7111_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11500,plain,
% 6.06/6.21 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 6.06/6.21 | ~ class_Orderings_Opreorder(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_546]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_544,plain,
% 6.06/6.21 ( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
% 6.06/6.21 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7112_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11496,plain,
% 6.06/6.21 ( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
% 6.06/6.21 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_544]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_527,plain,
% 6.06/6.21 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7119_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11462,plain,
% 6.06/6.21 ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Groups_Ogroup__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_527]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11463,plain,
% 6.06/6.21 ( ~ class_Groups_Ogroup__add(X0)
% 6.06/6.21 | c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11462]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_519,plain,
% 6.06/6.21 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7122_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11446,plain,
% 6.06/6.21 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_519]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11447,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 6.06/6.21 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11446]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_517,plain,
% 6.06/6.21 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7123_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11442,plain,
% 6.06/6.21 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.21 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_517]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11443,plain,
% 6.06/6.21 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 6.06/6.21 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11442]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_515,plain,
% 6.06/6.21 ( c_RealDef_Oreal(tc_Nat_Onat,X0) = c_RealDef_Oreal(tc_Nat_Onat,X1)
% 6.06/6.21 | X0 != X1 ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7124_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11438,plain,
% 6.06/6.21 ( c_RealDef_Oreal(tc_Nat_Onat,X0) = c_RealDef_Oreal(tc_Nat_Onat,X1)
% 6.06/6.21 | X0 != X1 ),
% 6.06/6.21 inference(copy,[status(esa)],[c_515]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_513,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | c_RealDef_Oreal(tc_Nat_Onat,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7127_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11434,plain,
% 6.06/6.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 6.06/6.21 | c_RealDef_Oreal(tc_Nat_Onat,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_513]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11435,plain,
% 6.06/6.21 ( c_RealDef_Oreal(tc_Nat_Onat,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.21 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11434]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_511,plain,
% 6.06/6.21 ( c_RealDef_Oreal(tc_Nat_Onat,X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7129_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11430,plain,
% 6.06/6.21 ( c_RealDef_Oreal(tc_Nat_Onat,X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 6.06/6.21 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_511]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_495,plain,
% 6.06/6.21 ( c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Ozero__neq__one(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7135_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11398,plain,
% 6.06/6.21 ( c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0)
% 6.06/6.21 | ~ class_Rings_Ozero__neq__one(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_495]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11399,plain,
% 6.06/6.21 ( ~ class_Rings_Ozero__neq__one(X0)
% 6.06/6.21 | c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11398]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_493,plain,
% 6.06/6.21 ( class_Groups_Oone(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7140_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11394,plain,
% 6.06/6.21 ( class_Groups_Oone(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_493]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11395,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.21 | class_Groups_Oone(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11394]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_491,plain,
% 6.06/6.21 ( class_Rings_Oidom(tc_Polynomial_Opoly(X0)) | ~ class_Rings_Oidom(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7141_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11390,plain,
% 6.06/6.21 ( class_Rings_Oidom(tc_Polynomial_Opoly(X0)) | ~ class_Rings_Oidom(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_491]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_489,plain,
% 6.06/6.21 ( class_Rings_Oring(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Ocomm__ring(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7142_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11386,plain,
% 6.06/6.21 ( class_Rings_Oring(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Ocomm__ring(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_489]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11387,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__ring(X0)
% 6.06/6.21 | class_Rings_Oring(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11386]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_487,plain,
% 6.06/6.21 ( class_Groups_Ozero(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Groups_Ozero(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7143_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11382,plain,
% 6.06/6.21 ( class_Groups_Ozero(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Groups_Ozero(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_487]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_485,plain,
% 6.06/6.21 ( class_Power_Opower(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7144_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11378,plain,
% 6.06/6.21 ( class_Power_Opower(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_485]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11379,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.21 | class_Power_Opower(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11378]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_483,plain,
% 6.06/6.21 ( class_Rings_Oring__1(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7145_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11374,plain,
% 6.06/6.21 ( class_Rings_Oring__1(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_483]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11375,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__ring__1(X0)
% 6.06/6.21 | class_Rings_Oring__1(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11374]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_481,plain,
% 6.06/6.21 ( class_Groups_Ouminus(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Groups_Oab__group__add(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7146_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11370,plain,
% 6.06/6.21 ( class_Groups_Ouminus(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Groups_Oab__group__add(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_481]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11371,plain,
% 6.06/6.21 ( ~ class_Groups_Oab__group__add(X0)
% 6.06/6.21 | class_Groups_Ouminus(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11370]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_479,plain,
% 6.06/6.21 ( class_Orderings_Oord(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7147_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11366,plain,
% 6.06/6.21 ( class_Orderings_Oord(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_479]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11367,plain,
% 6.06/6.21 ( ~ class_Rings_Olinordered__idom(X0)
% 6.06/6.21 | class_Orderings_Oord(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11366]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_477,plain,
% 6.06/6.21 ( class_Rings_Osemiring(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7148_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11362,plain,
% 6.06/6.21 ( class_Rings_Osemiring(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_477]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11363,plain,
% 6.06/6.21 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 6.06/6.21 | class_Rings_Osemiring(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11362]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_475,plain,
% 6.06/6.21 ( class_Int_Oring__char__0(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7149_1) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11358,plain,
% 6.06/6.21 ( class_Int_Oring__char__0(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.21 inference(copy,[status(esa)],[c_475]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_11359,plain,
% 6.06/6.21 ( ~ class_Rings_Olinordered__idom(X0)
% 6.06/6.21 | class_Int_Oring__char__0(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.21 inference(rewriting,[status(thm)],[c_11358]) ).
% 6.06/6.21
% 6.06/6.21 cnf(c_473,plain,
% 6.06/6.21 ( class_Orderings_Oorder(tc_Polynomial_Opoly(X0))
% 6.06/6.21 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.21 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7150_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11354,plain,
% 6.06/6.22 ( class_Orderings_Oorder(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_473]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11355,plain,
% 6.06/6.22 ( ~ class_Rings_Olinordered__idom(X0)
% 6.06/6.22 | class_Orderings_Oorder(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.22 inference(rewriting,[status(thm)],[c_11354]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_471,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__ring(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7151_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11350,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__ring(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_471]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_469,plain,
% 6.06/6.22 ( class_Rings_Omult__zero(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7152_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11346,plain,
% 6.06/6.22 ( class_Rings_Omult__zero(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_469]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11347,plain,
% 6.06/6.22 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 6.06/6.22 | class_Rings_Omult__zero(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.22 inference(rewriting,[status(thm)],[c_11346]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_467,plain,
% 6.06/6.22 ( class_Divides_Oring__div(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Fields_Ofield(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7153_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11342,plain,
% 6.06/6.22 ( class_Divides_Oring__div(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Fields_Ofield(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_467]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_465,plain,
% 6.06/6.22 ( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Oab__group__add(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7154_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11338,plain,
% 6.06/6.22 ( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Oab__group__add(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_465]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11339,plain,
% 6.06/6.22 ( ~ class_Groups_Oab__group__add(X0)
% 6.06/6.22 | class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.22 inference(rewriting,[status(thm)],[c_11338]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_463,plain,
% 6.06/6.22 ( class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7155_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11334,plain,
% 6.06/6.22 ( class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_463]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11335,plain,
% 6.06/6.22 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 6.06/6.22 | class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.22 inference(rewriting,[status(thm)],[c_11334]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_461,plain,
% 6.06/6.22 ( class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7156_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11330,plain,
% 6.06/6.22 ( class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_461]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11331,plain,
% 6.06/6.22 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 6.06/6.22 | class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.22 inference(rewriting,[status(thm)],[c_11330]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_459,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7157_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11326,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_459]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_457,plain,
% 6.06/6.22 ( class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7158_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11322,plain,
% 6.06/6.22 ( class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_457]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11323,plain,
% 6.06/6.22 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.22 | class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.22 inference(rewriting,[status(thm)],[c_11322]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_455,plain,
% 6.06/6.22 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7159_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11318,plain,
% 6.06/6.22 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_455]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11319,plain,
% 6.06/6.22 ( ~ class_Rings_Olinordered__idom(X0)
% 6.06/6.22 | class_Orderings_Olinorder(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.22 inference(rewriting,[status(thm)],[c_11318]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_453,plain,
% 6.06/6.22 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7160_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11314,plain,
% 6.06/6.22 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_453]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11315,plain,
% 6.06/6.22 ( ~ class_Rings_Olinordered__idom(X0)
% 6.06/6.22 | class_Orderings_Opreorder(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.22 inference(rewriting,[status(thm)],[c_11314]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_451,plain,
% 6.06/6.22 ( class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7161_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11310,plain,
% 6.06/6.22 ( class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_451]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11311,plain,
% 6.06/6.22 ( ~ class_Rings_Olinordered__idom(X0)
% 6.06/6.22 | class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.22 inference(rewriting,[status(thm)],[c_11310]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_449,plain,
% 6.06/6.22 ( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7162_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11306,plain,
% 6.06/6.22 ( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_449]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11307,plain,
% 6.06/6.22 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 6.06/6.22 | class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.22 inference(rewriting,[status(thm)],[c_11306]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_447,plain,
% 6.06/6.22 ( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Oab__group__add(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7163_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11302,plain,
% 6.06/6.22 ( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Oab__group__add(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_447]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_445,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7164_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11298,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_445]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11299,plain,
% 6.06/6.22 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 6.06/6.22 | class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.22 inference(rewriting,[status(thm)],[c_11298]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_443,plain,
% 6.06/6.22 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Fields_Ofield(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7165_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11294,plain,
% 6.06/6.22 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Fields_Ofield(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_443]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_441,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7166_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11290,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_441]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_439,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7167_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11286,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_439]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_437,plain,
% 6.06/6.22 ( class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7168_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11282,plain,
% 6.06/6.22 ( class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_437]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_435,plain,
% 6.06/6.22 ( class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7169_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11278,plain,
% 6.06/6.22 ( class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_435]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_433,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7170_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11274,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_433]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_431,plain,
% 6.06/6.22 ( class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Oidom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7171_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11270,plain,
% 6.06/6.22 ( class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Oidom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_431]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_429,plain,
% 6.06/6.22 ( class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7172_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11266,plain,
% 6.06/6.22 ( class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_429]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_427,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7173_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11262,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_427]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_425,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7174_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11258,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_425]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_423,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7175_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11254,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_423]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_421,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7176_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11250,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_421]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_419,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7177_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11246,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_419]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_417,plain,
% 6.06/6.22 ( class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7178_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11242,plain,
% 6.06/6.22 ( class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_417]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11243,plain,
% 6.06/6.22 ( ~ class_Groups_Ocancel__comm__monoid__add(X0)
% 6.06/6.22 | class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.22 inference(rewriting,[status(thm)],[c_11242]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_415,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7179_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11238,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_415]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_413,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7180_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11234,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_413]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_411,plain,
% 6.06/6.22 ( class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7181_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11230,plain,
% 6.06/6.22 ( class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_411]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_409,plain,
% 6.06/6.22 ( class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Oidom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7182_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11226,plain,
% 6.06/6.22 ( class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Oidom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_409]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_407,plain,
% 6.06/6.22 ( class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7183_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11222,plain,
% 6.06/6.22 ( class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_407]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_405,plain,
% 6.06/6.22 ( class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7184_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11218,plain,
% 6.06/6.22 ( class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_405]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_403,plain,
% 6.06/6.22 ( class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Oidom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7185_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11214,plain,
% 6.06/6.22 ( class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Oidom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_403]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_401,plain,
% 6.06/6.22 ( class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7186_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11210,plain,
% 6.06/6.22 ( class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_401]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11211,plain,
% 6.06/6.22 ( ~ class_Groups_Ocancel__comm__monoid__add(X0)
% 6.06/6.22 | class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 6.06/6.22 inference(rewriting,[status(thm)],[c_11210]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_399,plain,
% 6.06/6.22 ( class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7187_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11206,plain,
% 6.06/6.22 ( class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_399]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_397,plain,
% 6.06/6.22 ( class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7188_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11202,plain,
% 6.06/6.22 ( class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_397]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_395,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7189_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11198,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_395]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_393,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7190_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11194,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_393]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_391,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7191_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11190,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_391]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_389,plain,
% 6.06/6.22 ( class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7192_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11186,plain,
% 6.06/6.22 ( class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_389]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_387,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7193_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11182,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_387]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_385,plain,
% 6.06/6.22 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7194_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11178,plain,
% 6.06/6.22 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Olinordered__idom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_385]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_383,plain,
% 6.06/6.22 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Oidom(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7195_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11174,plain,
% 6.06/6.22 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Rings_Oidom(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_383]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_381,plain,
% 6.06/6.22 ( class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7196_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11170,plain,
% 6.06/6.22 ( class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 6.06/6.22 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_381]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_377,plain,
% 6.06/6.22 ( X0 = X1 | c_Nat_OSuc(X0) != c_Nat_OSuc(X1) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7198_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11162,plain,
% 6.06/6.22 ( X0 = X1 | c_Nat_OSuc(X0) != c_Nat_OSuc(X1) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_377]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11163,plain,
% 6.06/6.22 ( c_Nat_OSuc(X0) != c_Nat_OSuc(X1) | X0 = X1 ),
% 6.06/6.22 inference(rewriting,[status(thm)],[c_11162]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_375,plain,
% 6.06/6.22 ( c_Nat_OSuc(X0) = c_Nat_OSuc(X1) | X0 != X1 ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7199_1) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11158,plain,
% 6.06/6.22 ( c_Nat_OSuc(X0) = c_Nat_OSuc(X1) | X0 != X1 ),
% 6.06/6.22 inference(copy,[status(esa)],[c_375]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_374,plain,
% 6.06/6.22 ( 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) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6401_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11156,plain,
% 6.06/6.22 ( 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) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_374]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_373,plain,
% 6.06/6.22 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6425_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11154,plain,
% 6.06/6.22 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_373]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_372,plain,
% 6.06/6.22 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X1) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6426_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11152,plain,
% 6.06/6.22 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X1) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_372]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_371,plain,
% 6.06/6.22 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6794_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11150,plain,
% 6.06/6.22 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_371]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_370,plain,
% 6.06/6.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6894_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11148,plain,
% 6.06/6.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0),X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_370]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_367,plain,
% 6.06/6.22 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6922_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11142,plain,
% 6.06/6.22 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_367]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_365,plain,
% 6.06/6.22 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6942_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11138,plain,
% 6.06/6.22 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_365]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_359,plain,
% 6.06/6.22 ( c_Nat_OSuc(X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7205_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11126,plain,
% 6.06/6.22 ( c_Nat_OSuc(X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_359]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_358,plain,
% 6.06/6.22 ( c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7211_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11124,plain,
% 6.06/6.22 ( c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_358]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_356,plain,
% 6.06/6.22 ( c_Nat_OSuc(X0) != X0 ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7213_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11120,plain,
% 6.06/6.22 ( c_Nat_OSuc(X0) != X0 ),
% 6.06/6.22 inference(copy,[status(esa)],[c_356]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_355,plain,
% 6.06/6.22 ( c_Groups_Oone__class_Oone(tc_RealDef_Oreal) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7214_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11118,plain,
% 6.06/6.22 ( c_Groups_Oone__class_Oone(tc_RealDef_Oreal) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_355]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_344,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(sk1_esk2_0,X0))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X0))))) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5695_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11106,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(sk1_esk2_0,X0))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X0))))) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_344]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_343,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk6_1(X0))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X0))))) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5716_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11104,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk6_1(X0))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X0))))) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_343]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_342,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk5_1(X0))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X0))))) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5717_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11102,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk1_esk5_1(X0))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X0))))) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_342]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_340,plain,
% 6.06/6.22 ( 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))) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5734_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11099,plain,
% 6.06/6.22 ( 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))) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_340]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_332,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_5961_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11090,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_332]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_318,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6231_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11075,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_318]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_315,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X0))) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6298_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11071,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X0))) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_315]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_311,plain,
% 6.06/6.22 ( 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)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6319_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11066,plain,
% 6.06/6.22 ( 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)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_311]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_309,plain,
% 6.06/6.22 ( 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)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6321_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11063,plain,
% 6.06/6.22 ( 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)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_309]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_305,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6390_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11058,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_305]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_304,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6391_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11056,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_304]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_301,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6473_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11052,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_301]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_288,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Nat_OSuc(X0)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6652_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11038,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Nat_OSuc(X0)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_288]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_283,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6659_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11032,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_283]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_282,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1),X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6660_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11030,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X0,X1),X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_282]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_281,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6661_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11028,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_281]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_280,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6662_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11026,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_280]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_279,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6663_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11024,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_279]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_276,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6744_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11020,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_276]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_275,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X0)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6746_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11018,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X0)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_275]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_274,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(sk1_esk2_0,X0)),v_r) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6799_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11016,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(sk1_esk2_0,X0)),v_r) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_274]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_272,plain,
% 6.06/6.22 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6856_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11013,plain,
% 6.06/6.22 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_272]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_271,plain,
% 6.06/6.22 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6857_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11011,plain,
% 6.06/6.22 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_271]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_269,plain,
% 6.06/6.22 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6896_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11008,plain,
% 6.06/6.22 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_269]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_268,plain,
% 6.06/6.22 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6897_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11006,plain,
% 6.06/6.22 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_268]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_267,plain,
% 6.06/6.22 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6900_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11004,plain,
% 6.06/6.22 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_267]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_266,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X0))) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6904_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11002,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X0))) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_266]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_265,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X0))) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6923_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11000,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X0))) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_265]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_264,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk6_1(X0)),v_r) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6935_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10998,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk6_1(X0)),v_r) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_264]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_263,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk5_1(X0)),v_r) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6936_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10996,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk5_1(X0)),v_r) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_263]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_261,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk33_2(X0,X1)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6943_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10993,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk33_2(X0,X1)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_261]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_260,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),v_r) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6946_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10991,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),v_r) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_260]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_259,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6958_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10989,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_259]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_256,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk28_0),v_r) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_6990_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10985,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk1_esk28_0),v_r) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_256]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_252,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(X0)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7037_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10980,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(X0)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_252]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_251,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(X0)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7038_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10978,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(X0)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_251]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_250,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X0)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7039_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10976,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X0)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_250]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_247,plain,
% 6.06/6.22 ( 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)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7053_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10972,plain,
% 6.06/6.22 ( 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)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_247]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_246,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7054_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10970,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_246]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_245,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7055_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10968,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_245]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_244,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X0)) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7057_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10966,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X0)) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_244]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_232,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7074_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10952,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_232]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_228,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7079_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10947,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_228]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_227,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7084_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10945,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_227]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_223,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7088_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10940,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_223]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_222,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7089_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10938,plain,
% 6.06/6.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_222]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_205,plain,
% 6.06/6.22 ( class_Groups_Oone(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7215_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10920,plain,
% 6.06/6.22 ( class_Groups_Oone(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_205]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_204,plain,
% 6.06/6.22 ( class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7216_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10918,plain,
% 6.06/6.22 ( class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_204]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_203,plain,
% 6.06/6.22 ( class_Rings_Oring(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7217_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10916,plain,
% 6.06/6.22 ( class_Rings_Oring(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_203]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_202,plain,
% 6.06/6.22 ( class_Groups_Ozero(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7218_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10914,plain,
% 6.06/6.22 ( class_Groups_Ozero(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_202]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_201,plain,
% 6.06/6.22 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7219_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10912,plain,
% 6.06/6.22 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_201]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_200,plain,
% 6.06/6.22 ( class_Fields_Ofield(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7220_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10910,plain,
% 6.06/6.22 ( class_Fields_Ofield(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_200]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_199,plain,
% 6.06/6.22 ( class_Rings_Oring__1(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7221_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10908,plain,
% 6.06/6.22 ( class_Rings_Oring__1(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_199]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_198,plain,
% 6.06/6.22 ( class_Groups_Ouminus(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7222_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10906,plain,
% 6.06/6.22 ( class_Groups_Ouminus(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_198]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_197,plain,
% 6.06/6.22 ( class_Rings_Osemiring(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7223_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10904,plain,
% 6.06/6.22 ( class_Rings_Osemiring(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_197]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_196,plain,
% 6.06/6.22 ( class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7224_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10902,plain,
% 6.06/6.22 ( class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_196]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_195,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7225_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10900,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_195]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_194,plain,
% 6.06/6.22 ( class_Rings_Omult__zero(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7226_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10898,plain,
% 6.06/6.22 ( class_Rings_Omult__zero(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_194]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_193,plain,
% 6.06/6.22 ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7227_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10896,plain,
% 6.06/6.22 ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_193]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_192,plain,
% 6.06/6.22 ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7228_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10894,plain,
% 6.06/6.22 ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_192]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_191,plain,
% 6.06/6.22 ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7229_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10892,plain,
% 6.06/6.22 ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_191]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_190,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7230_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10890,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_190]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_189,plain,
% 6.06/6.22 ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7231_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10888,plain,
% 6.06/6.22 ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_189]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_188,plain,
% 6.06/6.22 ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7232_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10886,plain,
% 6.06/6.22 ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_188]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_187,plain,
% 6.06/6.22 ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7233_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10884,plain,
% 6.06/6.22 ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_187]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_186,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7234_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10882,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_186]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_185,plain,
% 6.06/6.22 ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7235_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10880,plain,
% 6.06/6.22 ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_185]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_184,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7236_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10878,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_184]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_183,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7237_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10876,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_183]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_182,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7238_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10874,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_182]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_181,plain,
% 6.06/6.22 ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7239_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10872,plain,
% 6.06/6.22 ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_181]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_180,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7240_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10870,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_180]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_179,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7241_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10868,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_179]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_178,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7242_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10866,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_178]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_177,plain,
% 6.06/6.22 ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7243_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10864,plain,
% 6.06/6.22 ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_177]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_176,plain,
% 6.06/6.22 ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7244_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10862,plain,
% 6.06/6.22 ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_176]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_175,plain,
% 6.06/6.22 ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7245_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10860,plain,
% 6.06/6.22 ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_175]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_174,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7246_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10858,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_174]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_173,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7247_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10856,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_173]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_172,plain,
% 6.06/6.22 ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7248_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10854,plain,
% 6.06/6.22 ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_172]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_171,plain,
% 6.06/6.22 ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7249_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10852,plain,
% 6.06/6.22 ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_171]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_170,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7250_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10850,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_170]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_169,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7251_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10848,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_169]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_168,plain,
% 6.06/6.22 ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7252_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10846,plain,
% 6.06/6.22 ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_168]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_167,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7253_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10844,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_167]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_166,plain,
% 6.06/6.22 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7254_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10842,plain,
% 6.06/6.22 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_166]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_165,plain,
% 6.06/6.22 ( class_Groups_Oone(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7255_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10840,plain,
% 6.06/6.22 ( class_Groups_Oone(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_165]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_164,plain,
% 6.06/6.22 ( class_Rings_Oidom(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7256_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10838,plain,
% 6.06/6.22 ( class_Rings_Oidom(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_164]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_163,plain,
% 6.06/6.22 ( class_Rings_Oring(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7257_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10836,plain,
% 6.06/6.22 ( class_Rings_Oring(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_163]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_162,plain,
% 6.06/6.22 ( class_Groups_Ozero(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7258_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10834,plain,
% 6.06/6.22 ( class_Groups_Ozero(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_162]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_161,plain,
% 6.06/6.22 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7259_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10832,plain,
% 6.06/6.22 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_161]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_160,plain,
% 6.06/6.22 ( class_Fields_Ofield(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7260_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10830,plain,
% 6.06/6.22 ( class_Fields_Ofield(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_160]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_159,plain,
% 6.06/6.22 ( class_Rings_Oring__1(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7261_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10828,plain,
% 6.06/6.22 ( class_Rings_Oring__1(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_159]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_158,plain,
% 6.06/6.22 ( class_Groups_Ouminus(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7262_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10826,plain,
% 6.06/6.22 ( class_Groups_Ouminus(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_158]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_157,plain,
% 6.06/6.22 ( class_Orderings_Oord(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7263_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10824,plain,
% 6.06/6.22 ( class_Orderings_Oord(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_157]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_156,plain,
% 6.06/6.22 ( class_Rings_Osemiring(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7264_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10822,plain,
% 6.06/6.22 ( class_Rings_Osemiring(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_156]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_155,plain,
% 6.06/6.22 ( class_Int_Oring__char__0(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7265_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10820,plain,
% 6.06/6.22 ( class_Int_Oring__char__0(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_155]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_154,plain,
% 6.06/6.22 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7266_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10818,plain,
% 6.06/6.22 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_154]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_153,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7267_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10816,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_153]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_152,plain,
% 6.06/6.22 ( class_Rings_Omult__zero(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7268_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10814,plain,
% 6.06/6.22 ( class_Rings_Omult__zero(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_152]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_151,plain,
% 6.06/6.22 ( class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7269_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10812,plain,
% 6.06/6.22 ( class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_151]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_150,plain,
% 6.06/6.22 ( class_Rings_Osemiring__0(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7270_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10810,plain,
% 6.06/6.22 ( class_Rings_Osemiring__0(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_150]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_149,plain,
% 6.06/6.22 ( class_Groups_Omonoid__add(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7271_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10808,plain,
% 6.06/6.22 ( class_Groups_Omonoid__add(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_149]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_148,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7272_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10806,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_148]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_147,plain,
% 6.06/6.22 ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7273_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10804,plain,
% 6.06/6.22 ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_147]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_146,plain,
% 6.06/6.22 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7274_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10802,plain,
% 6.06/6.22 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_146]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_145,plain,
% 6.06/6.22 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7275_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10800,plain,
% 6.06/6.22 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_145]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_144,plain,
% 6.06/6.22 ( class_Rings_Oordered__ring(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7276_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10798,plain,
% 6.06/6.22 ( class_Rings_Oordered__ring(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_144]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_143,plain,
% 6.06/6.22 ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7277_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10796,plain,
% 6.06/6.22 ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_143]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_142,plain,
% 6.06/6.22 ( class_Groups_Oab__group__add(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7278_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10794,plain,
% 6.06/6.22 ( class_Groups_Oab__group__add(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_142]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_141,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7279_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10792,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_141]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_140,plain,
% 6.06/6.22 ( class_Rings_Odivision__ring(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7280_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10790,plain,
% 6.06/6.22 ( class_Rings_Odivision__ring(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_140]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_139,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7281_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10788,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_139]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_138,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7282_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10786,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_138]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_137,plain,
% 6.06/6.22 ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7283_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10784,plain,
% 6.06/6.22 ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_137]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_136,plain,
% 6.06/6.22 ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7284_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10782,plain,
% 6.06/6.22 ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_136]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_135,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7285_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10780,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_135]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_134,plain,
% 6.06/6.22 ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7286_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10778,plain,
% 6.06/6.22 ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_134]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_133,plain,
% 6.06/6.22 ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7287_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10776,plain,
% 6.06/6.22 ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_133]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_132,plain,
% 6.06/6.22 ( class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7288_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10774,plain,
% 6.06/6.22 ( class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_132]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_131,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7289_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10772,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_131]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_130,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7290_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10770,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_130]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_129,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7291_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10768,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_129]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_128,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7292_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10766,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_128]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_127,plain,
% 6.06/6.22 ( class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7293_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10764,plain,
% 6.06/6.22 ( class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_127]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_126,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7294_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10762,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_126]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_125,plain,
% 6.06/6.22 ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7295_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10760,plain,
% 6.06/6.22 ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_125]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_124,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7296_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10758,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_124]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_123,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7297_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10756,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_123]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_122,plain,
% 6.06/6.22 ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7298_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10754,plain,
% 6.06/6.22 ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_122]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_121,plain,
% 6.06/6.22 ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7299_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10752,plain,
% 6.06/6.22 ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_121]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_120,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7300_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10750,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_120]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_119,plain,
% 6.06/6.22 ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7301_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10748,plain,
% 6.06/6.22 ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_119]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_118,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7302_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10746,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_118]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_117,plain,
% 6.06/6.22 ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7303_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10744,plain,
% 6.06/6.22 ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_117]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_116,plain,
% 6.06/6.22 ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7304_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10742,plain,
% 6.06/6.22 ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_116]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_115,plain,
% 6.06/6.22 ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7305_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10740,plain,
% 6.06/6.22 ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_115]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_114,plain,
% 6.06/6.22 ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7306_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10738,plain,
% 6.06/6.22 ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_114]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_113,plain,
% 6.06/6.22 ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7307_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10736,plain,
% 6.06/6.22 ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_113]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_112,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7308_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10734,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_112]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_111,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7309_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10732,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_111]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_110,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7310_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10730,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_110]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_109,plain,
% 6.06/6.22 ( class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7311_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10728,plain,
% 6.06/6.22 ( class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_109]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_108,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7312_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10726,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_108]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_107,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7313_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10724,plain,
% 6.06/6.22 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_107]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_106,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7314_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10722,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_106]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_105,plain,
% 6.06/6.22 ( class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7315_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10720,plain,
% 6.06/6.22 ( class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_105]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_104,plain,
% 6.06/6.22 ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7316_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10718,plain,
% 6.06/6.22 ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_104]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_103,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7317_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10716,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_103]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_102,plain,
% 6.06/6.22 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7318_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10714,plain,
% 6.06/6.22 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_102]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_101,plain,
% 6.06/6.22 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7319_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10712,plain,
% 6.06/6.22 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_101]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_100,plain,
% 6.06/6.22 ( class_Groups_Ouminus(tc_HOL_Obool) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7320_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10710,plain,
% 6.06/6.22 ( class_Groups_Ouminus(tc_HOL_Obool) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_100]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_99,plain,
% 6.06/6.22 ( class_Orderings_Oord(tc_HOL_Obool) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7321_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10708,plain,
% 6.06/6.22 ( class_Orderings_Oord(tc_HOL_Obool) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_99]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_98,plain,
% 6.06/6.22 ( class_Orderings_Oorder(tc_HOL_Obool) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7322_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10706,plain,
% 6.06/6.22 ( class_Orderings_Oorder(tc_HOL_Obool) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_98]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_97,plain,
% 6.06/6.22 ( class_Orderings_Opreorder(tc_HOL_Obool) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7323_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10704,plain,
% 6.06/6.22 ( class_Orderings_Opreorder(tc_HOL_Obool) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_97]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_96,plain,
% 6.06/6.22 ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7324_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10702,plain,
% 6.06/6.22 ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_96]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_95,plain,
% 6.06/6.22 ( class_Groups_Oone(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7325_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10700,plain,
% 6.06/6.22 ( class_Groups_Oone(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_95]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_94,plain,
% 6.06/6.22 ( class_Groups_Ozero(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7326_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10698,plain,
% 6.06/6.22 ( class_Groups_Ozero(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_94]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_93,plain,
% 6.06/6.22 ( class_Power_Opower(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7327_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10696,plain,
% 6.06/6.22 ( class_Power_Opower(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_93]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_92,plain,
% 6.06/6.22 ( class_Orderings_Oord(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7328_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10694,plain,
% 6.06/6.22 ( class_Orderings_Oord(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_92]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_91,plain,
% 6.06/6.22 ( class_Rings_Osemiring(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7329_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10692,plain,
% 6.06/6.22 ( class_Rings_Osemiring(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_91]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_90,plain,
% 6.06/6.22 ( class_Orderings_Oorder(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7330_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10690,plain,
% 6.06/6.22 ( class_Orderings_Oorder(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_90]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_89,plain,
% 6.06/6.22 ( class_Rings_Omult__zero(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7331_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10688,plain,
% 6.06/6.22 ( class_Rings_Omult__zero(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_89]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_88,plain,
% 6.06/6.22 ( class_Rings_Osemiring__0(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7332_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10686,plain,
% 6.06/6.22 ( class_Rings_Osemiring__0(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_88]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_87,plain,
% 6.06/6.22 ( class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7333_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10684,plain,
% 6.06/6.22 ( class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_87]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_86,plain,
% 6.06/6.22 ( class_Groups_Omonoid__mult(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7334_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10682,plain,
% 6.06/6.22 ( class_Groups_Omonoid__mult(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_86]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_85,plain,
% 6.06/6.22 ( class_Orderings_Olinorder(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7335_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10680,plain,
% 6.06/6.22 ( class_Orderings_Olinorder(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_85]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_84,plain,
% 6.06/6.22 ( class_Orderings_Opreorder(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7336_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10678,plain,
% 6.06/6.22 ( class_Orderings_Opreorder(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_84]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_83,plain,
% 6.06/6.22 ( class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7337_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10676,plain,
% 6.06/6.22 ( class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_83]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_82,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7338_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10674,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_82]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_81,plain,
% 6.06/6.22 ( class_Divides_Osemiring__div(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7339_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10672,plain,
% 6.06/6.22 ( class_Divides_Osemiring__div(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_81]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_80,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7340_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10670,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_80]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_79,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7341_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10668,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_79]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_78,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7342_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10666,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_78]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_77,plain,
% 6.06/6.22 ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7343_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10664,plain,
% 6.06/6.22 ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_77]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_76,plain,
% 6.06/6.22 ( class_Rings_Oordered__semiring(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7344_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10662,plain,
% 6.06/6.22 ( class_Rings_Oordered__semiring(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_76]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_75,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7345_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10660,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_75]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_74,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7346_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10658,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_74]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_73,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7347_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10656,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_73]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_72,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7348_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10654,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_72]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_71,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7349_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10652,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_71]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_70,plain,
% 6.06/6.22 ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7350_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10650,plain,
% 6.06/6.22 ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_70]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_69,plain,
% 6.06/6.22 ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7351_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10648,plain,
% 6.06/6.22 ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_69]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_68,plain,
% 6.06/6.22 ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7352_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10646,plain,
% 6.06/6.22 ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_68]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_67,plain,
% 6.06/6.22 ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7353_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10644,plain,
% 6.06/6.22 ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_67]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_66,plain,
% 6.06/6.22 ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7354_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10642,plain,
% 6.06/6.22 ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_66]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_65,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7355_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10640,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_65]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_64,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7356_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10638,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_64]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_63,plain,
% 6.06/6.22 ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7357_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10636,plain,
% 6.06/6.22 ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_63]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_62,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7358_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10634,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_62]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_61,plain,
% 6.06/6.22 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7359_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10632,plain,
% 6.06/6.22 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_61]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_60,plain,
% 6.06/6.22 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7360_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10630,plain,
% 6.06/6.22 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_60]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_59,plain,
% 6.06/6.22 ( class_Groups_Oone(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7361_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10628,plain,
% 6.06/6.22 ( class_Groups_Oone(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_59]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_58,plain,
% 6.06/6.22 ( class_Rings_Oidom(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7362_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10626,plain,
% 6.06/6.22 ( class_Rings_Oidom(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_58]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_57,plain,
% 6.06/6.22 ( class_Rings_Oring(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7363_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10624,plain,
% 6.06/6.22 ( class_Rings_Oring(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_57]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_56,plain,
% 6.06/6.22 ( class_Groups_Ozero(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7364_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10622,plain,
% 6.06/6.22 ( class_Groups_Ozero(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_56]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_55,plain,
% 6.06/6.22 ( class_Power_Opower(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7365_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10620,plain,
% 6.06/6.22 ( class_Power_Opower(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_55]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_54,plain,
% 6.06/6.22 ( class_Rings_Oring__1(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7366_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10618,plain,
% 6.06/6.22 ( class_Rings_Oring__1(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_54]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_53,plain,
% 6.06/6.22 ( class_Groups_Ouminus(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7367_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10616,plain,
% 6.06/6.22 ( class_Groups_Ouminus(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_53]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_52,plain,
% 6.06/6.22 ( class_Orderings_Oord(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7368_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10614,plain,
% 6.06/6.22 ( class_Orderings_Oord(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_52]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_51,plain,
% 6.06/6.22 ( class_Rings_Osemiring(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7369_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10612,plain,
% 6.06/6.22 ( class_Rings_Osemiring(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_51]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_50,plain,
% 6.06/6.22 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7370_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10610,plain,
% 6.06/6.22 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_50]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_49,plain,
% 6.06/6.22 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7371_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10608,plain,
% 6.06/6.22 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_49]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_48,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7372_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10606,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_48]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_47,plain,
% 6.06/6.22 ( class_Rings_Omult__zero(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7373_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10604,plain,
% 6.06/6.22 ( class_Rings_Omult__zero(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_47]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_46,plain,
% 6.06/6.22 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7374_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10602,plain,
% 6.06/6.22 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_46]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_45,plain,
% 6.06/6.22 ( class_Groups_Ogroup__add(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7375_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10600,plain,
% 6.06/6.22 ( class_Groups_Ogroup__add(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_45]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_44,plain,
% 6.06/6.22 ( class_Rings_Osemiring__0(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7376_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10598,plain,
% 6.06/6.22 ( class_Rings_Osemiring__0(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_44]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_43,plain,
% 6.06/6.22 ( class_Groups_Omonoid__add(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7377_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10596,plain,
% 6.06/6.22 ( class_Groups_Omonoid__add(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_43]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_42,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring__1(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7378_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10594,plain,
% 6.06/6.22 ( class_Rings_Ocomm__ring__1(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_42]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_41,plain,
% 6.06/6.22 ( class_Groups_Omonoid__mult(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7379_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10592,plain,
% 6.06/6.22 ( class_Groups_Omonoid__mult(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_41]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_40,plain,
% 6.06/6.22 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7380_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10590,plain,
% 6.06/6.22 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_40]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_39,plain,
% 6.06/6.22 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7381_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10588,plain,
% 6.06/6.22 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_39]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_38,plain,
% 6.06/6.22 ( class_Rings_Oordered__ring(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7382_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10586,plain,
% 6.06/6.22 ( class_Rings_Oordered__ring(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_38]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_37,plain,
% 6.06/6.22 ( class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7383_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10584,plain,
% 6.06/6.22 ( class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_37]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_36,plain,
% 6.06/6.22 ( class_Groups_Oab__group__add(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7384_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10582,plain,
% 6.06/6.22 ( class_Groups_Oab__group__add(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_36]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_35,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7385_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10580,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_35]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_34,plain,
% 6.06/6.22 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7386_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10578,plain,
% 6.06/6.22 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_34]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_33,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7387_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10576,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_33]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_32,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7388_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10574,plain,
% 6.06/6.22 ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_32]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_31,plain,
% 6.06/6.22 ( class_Rings_Olinordered__idom(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7389_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10572,plain,
% 6.06/6.22 ( class_Rings_Olinordered__idom(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_31]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_30,plain,
% 6.06/6.22 ( class_Rings_Olinordered__ring(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7390_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10570,plain,
% 6.06/6.22 ( class_Rings_Olinordered__ring(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_30]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_29,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7391_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10568,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_29]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_28,plain,
% 6.06/6.22 ( class_Rings_Ono__zero__divisors(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7392_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10566,plain,
% 6.06/6.22 ( class_Rings_Ono__zero__divisors(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_28]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_27,plain,
% 6.06/6.22 ( class_Rings_Oordered__semiring(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7393_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10564,plain,
% 6.06/6.22 ( class_Rings_Oordered__semiring(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_27]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_26,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__add(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7394_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10562,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__add(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_26]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_25,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7395_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10560,plain,
% 6.06/6.22 ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_25]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_24,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7396_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10558,plain,
% 6.06/6.22 ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_24]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_23,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semidom(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7397_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10556,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semidom(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_23]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_22,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7398_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10554,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_22]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_21,plain,
% 6.06/6.22 ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7399_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10552,plain,
% 6.06/6.22 ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_21]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_20,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7400_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10550,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_20]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_19,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7401_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10548,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_19]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_18,plain,
% 6.06/6.22 ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7402_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10546,plain,
% 6.06/6.22 ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_18]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_17,plain,
% 6.06/6.22 ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7403_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10544,plain,
% 6.06/6.22 ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_17]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_16,plain,
% 6.06/6.22 ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7404_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10542,plain,
% 6.06/6.22 ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_16]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_15,plain,
% 6.06/6.22 ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7405_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10540,plain,
% 6.06/6.22 ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_15]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_14,plain,
% 6.06/6.22 ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7406_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10538,plain,
% 6.06/6.22 ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_14]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_13,plain,
% 6.06/6.22 ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7407_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10536,plain,
% 6.06/6.22 ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_13]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_12,plain,
% 6.06/6.22 ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7408_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10534,plain,
% 6.06/6.22 ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_12]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_11,plain,
% 6.06/6.22 ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7409_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10532,plain,
% 6.06/6.22 ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_11]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7410_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10530,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_10]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_9,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7411_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10528,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_9]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_8,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7412_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10526,plain,
% 6.06/6.22 ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_8]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_7,plain,
% 6.06/6.22 ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7413_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10524,plain,
% 6.06/6.22 ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_7]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_6,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7414_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10522,plain,
% 6.06/6.22 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_6]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_5,plain,
% 6.06/6.22 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7415_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10520,plain,
% 6.06/6.22 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_5]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_4,plain,
% 6.06/6.22 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7416_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10518,plain,
% 6.06/6.22 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_4]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_3,plain,
% 6.06/6.22 ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7417_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10516,plain,
% 6.06/6.22 ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_3]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_2,plain,
% 6.06/6.22 ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7418_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10514,plain,
% 6.06/6.22 ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_2]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_1,plain,
% 6.06/6.22 ( class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7419_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10512,plain,
% 6.06/6.22 ( class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_1]) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_0,plain,
% 6.06/6.22 ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 file('/export/starexec/sandbox/tmp/iprover_modulo_cb3710.p', c_0_7420_0) ).
% 6.06/6.22
% 6.06/6.22 cnf(c_10510,plain,
% 6.06/6.22 ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
% 6.06/6.22 inference(copy,[status(esa)],[c_0]) ).
% 6.06/6.22
% 6.06/6.22
% 6.06/6.22
% 6.06/6.22 % ------ Statistics
% 6.06/6.22
% 6.06/6.22 % ------ General
% 6.06/6.22
% 6.06/6.22 % num_of_input_clauses: 4649
% 6.06/6.22 % num_of_input_neg_conjectures: 1
% 6.06/6.22 % num_of_splits: 0
% 6.06/6.22 % num_of_split_atoms: 0
% 6.06/6.22 % num_of_sem_filtered_clauses: 0
% 6.06/6.22 % num_of_subtypes: 0
% 6.06/6.22 % monotx_restored_types: 0
% 6.06/6.22 % sat_num_of_epr_types: 0
% 6.06/6.22 % sat_num_of_non_cyclic_types: 0
% 6.06/6.22 % sat_guarded_non_collapsed_types: 0
% 6.06/6.22 % is_epr: 0
% 6.06/6.22 % is_horn: 0
% 6.06/6.22 % has_eq: 1
% 6.06/6.22 % num_pure_diseq_elim: 0
% 6.06/6.22 % simp_replaced_by: 0
% 6.06/6.22 % res_preprocessed: 3
% 6.06/6.22 % prep_upred: 0
% 6.06/6.22 % prep_unflattend: 0
% 6.06/6.22 % pred_elim_cands: 2
% 6.06/6.22 % pred_elim: 2
% 6.06/6.22 % pred_elim_cl: 2
% 6.06/6.22 % pred_elim_cycles: 2
% 6.06/6.22 % forced_gc_time: 0
% 6.06/6.22 % gc_basic_clause_elim: 0
% 6.06/6.22 % parsing_time: 0.169
% 6.06/6.22 % sem_filter_time: 0.
% 6.06/6.22 % pred_elim_time: 0.
% 6.06/6.22 % out_proof_time: 0.
% 6.06/6.22 % monotx_time: 0.
% 6.06/6.22 % subtype_inf_time: 0.
% 6.06/6.22 % unif_index_cands_time: 0.
% 6.06/6.22 % unif_index_add_time: 0.003
% 6.06/6.22 % total_time: 5.209
% 6.06/6.22 % num_of_symbols: 222
% 6.06/6.22 % num_of_terms: 6938
% 6.06/6.22
% 6.06/6.22 % ------ Propositional Solver
% 6.06/6.22
% 6.06/6.22 % prop_solver_calls: 1
% 6.06/6.22 % prop_fast_solver_calls: 10
% 6.06/6.22 % prop_num_of_clauses: 3553
% 6.06/6.22 % prop_preprocess_simplified: 14605
% 6.06/6.22 % prop_fo_subsumed: 1
% 6.06/6.22 % prop_solver_time: 0.
% 6.06/6.22 % prop_fast_solver_time: 0.
% 6.06/6.22 % prop_unsat_core_time: 0.
% 6.06/6.22
% 6.06/6.22 % ------ QBF
% 6.06/6.22
% 6.06/6.22 % qbf_q_res: 0
% 6.06/6.22 % qbf_num_tautologies: 0
% 6.06/6.22 % qbf_prep_cycles: 0
% 6.06/6.22
% 6.06/6.22 % ------ BMC1
% 6.06/6.22
% 6.06/6.22 % bmc1_current_bound: -1
% 6.06/6.22 % bmc1_last_solved_bound: -1
% 6.06/6.22 % bmc1_unsat_core_size: -1
% 6.06/6.22 % bmc1_unsat_core_parents_size: -1
% 6.06/6.22 % bmc1_merge_next_fun: 0
% 6.06/6.22 % bmc1_unsat_core_clauses_time: 0.
% 6.06/6.22
% 6.06/6.22 % ------ Instantiation
% 6.06/6.22
% 6.06/6.22 % inst_num_of_clauses: 4324
% 6.06/6.22 % inst_num_in_passive: 0
% 6.06/6.22 % inst_num_in_active: 0
% 6.06/6.22 % inst_num_in_unprocessed: 4648
% 6.06/6.22 % inst_num_of_loops: 0
% 6.06/6.22 % inst_num_of_learning_restarts: 0
% 6.06/6.22 % inst_num_moves_active_passive: 0
% 6.06/6.22 % inst_lit_activity: 0
% 6.06/6.22 % inst_lit_activity_moves: 0
% 6.06/6.22 % inst_num_tautologies: 0
% 6.06/6.22 % inst_num_prop_implied: 0
% 6.06/6.22 % inst_num_existing_simplified: 0
% 6.06/6.22 % inst_num_eq_res_simplified: 0
% 6.06/6.22 % inst_num_child_elim: 0
% 6.06/6.22 % inst_num_of_dismatching_blockings: 0
% 6.06/6.22 % inst_num_of_non_proper_insts: 0
% 6.06/6.22 % inst_num_of_duplicates: 0
% 6.06/6.22 % inst_inst_num_from_inst_to_res: 0
% 6.06/6.22 % inst_dismatching_checking_time: 0.
% 6.06/6.22
% 6.06/6.22 % ------ Resolution
% 6.06/6.22
% 6.06/6.22 % res_num_of_clauses: 4964
% 6.06/6.22 % res_num_in_passive: 0
% 6.06/6.22 % res_num_in_active: 1678
% 6.06/6.22 % res_num_of_loops: 2
% 6.06/6.22 % res_forward_subset_subsumed: 2760
% 6.06/6.22 % res_backward_subset_subsumed: 0
% 6.06/6.22 % res_forward_subsumed: 0
% 6.06/6.22 % res_backward_subsumed: 0
% 6.06/6.22 % res_forward_subsumption_resolution: 0
% 6.06/6.22 % res_backward_subsumption_resolution: 0
% 6.06/6.22 % res_clause_to_clause_subsumption: 0
% 6.06/6.22 % res_orphan_elimination: 0
% 6.06/6.22 % res_tautology_del: 108
% 6.06/6.22 % res_num_eq_res_simplified: 0
% 6.06/6.22 % res_num_sel_changes: 0
% 6.06/6.22 % res_moves_from_active_to_pass: 0
% 6.06/6.22
% 6.06/6.23 % Status Unknown
% 6.06/6.23 % Last status :
% 6.06/6.23 % SZS status Unknown
%------------------------------------------------------------------------------